Elementary Statistics: A Step By Step Approach
9th Edition
ISBN: 9780073534985
Author: Allan Bluman
Publisher: McGraw-Hill Science/Engineering/Math
expand_more
expand_more
format_list_bulleted
Question
Chapter 4.3, Problem 50E
a.
To determine
To obtain: The
b.
To determine
To obtain: The probability that none of the six students had an A average in high school.
c.
To determine
To obtain: The probability that at least one of the six students had an A average in high school.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A retail chain is interested in determining whether a digital video point-of-purchase (POP) display would stimulate higher sales for a brand advertised compared to the standard cardboard point-of-purchase display. To test this, a one-shot static group design experiment was conducted over a four-week period in 100 different stores. Fifty stores were randomly assigned to the control treatment (standard display) and the other 50 stores were randomly assigned to the experimental treatment (digital display). Compare the sales of the control group (standard POP) to the experimental group (digital POP).
What were the average sales for the standard POP display (control group)?
What were the sales for the digital display (experimental group)?
What is the (mean) difference in sales between the experimental group and control group?
List the null hypothesis being tested.
Do you reject or retain the null hypothesis based on the results of the independent t-test?
Was the difference between the…
Question 4
An article in Quality Progress (May 2011, pp. 42-48) describes the use of factorial experiments to improve a
silver powder production process. This product is used in conductive pastes to manufacture a wide variety of
products ranging from silicon wafers to elastic membrane switches. Powder density (g/cm²) and surface area
(cm/g) are the two critical characteristics of this product. The experiments involved three factors: reaction
temperature, ammonium percentage, stirring rate. Each of these factors had two levels, and the design was
replicated twice. The design is shown in Table 3.
A222222222222233
Stir Rate
(RPM)
Ammonium
(%)
Table 3: Silver Powder Experiment from Exercise 13.23
Temperature
(°C)
Density
Surface Area
100
8
14.68
0.40
100
8
15.18
0.43
30
100
8
15.12
0.42
30
100
17.48
0.41
150
7.54
0.69
150
8
6.66
0.67
30
150
8
12.46
0.52
30
150
8
12.62
0.36
100
40
10.95
0.58
100
40
17.68
0.43
30
100
40
12.65
0.57
30
100
40
15.96
0.54
150
40
8.03
0.68
150
40
8.84
0.75
30
150…
-
+
++
Table 2: Crack Experiment for Exercise 2
A B C D Treatment Combination
(1)
Replicate
I II
7.037
6.376
14.707 15.219
|++++ 1
བྱ॰༤༠སྦྱོ སྦྱོཋཏྟཱུ
a
b
ab
11.635 12.089
17.273 17.815
с
ас
10.403 10.151
4.368 4.098
bc
abc
9.360 9.253
13.440 12.923
d
8.561 8.951
ad
16.867 17.052
bd
13.876 13.658
abd
19.824 19.639
cd
11.846 12.337
acd
6.125
5.904
bcd
11.190 10.935
abcd
15.653 15.053
Question 3
Continuation of Exercise 2. One of the variables in the experiment described in Exercise 2, heat treatment
method (C), is a categorical variable. Assume that the remaining factors are continuous.
(a) Write two regression models for predicting crack length, one for each level of the heat treatment method
variable. What differences, if any, do you notice in these two equations?
(b) Generate appropriate response surface contour plots for the two regression models in part (a).
(c) What set of conditions would you recommend for the factors A, B, and D if you use heat treatment method
C = +?
(d) Repeat…
Chapter 4 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 4.1 - Tossing a Coin Assume you are at a carnival and...Ch. 4.1 - What is a probability experiment?Ch. 4.1 - Define sample space.Ch. 4.1 - What is the difference between an outcome and an...Ch. 4.1 - What are equally likely events?Ch. 4.1 - What is the range of the values of the probability...Ch. 4.1 - When an event is certain to occur, what is its...Ch. 4.1 - If an event cannot happen, what value is assigned...Ch. 4.1 - What is the sum of the probabilities of all the...Ch. 4.1 - If the probability that it will rain tomorrow is...
Ch. 4.1 - A probability experiment is conducted. Which of...Ch. 4.1 - Classify each statement as an example of classical...Ch. 4.1 - Classify each statement as an example of classical...Ch. 4.1 - Prob. 13ECh. 4.1 - Rolling a Die If a die is rolled one time, find...Ch. 4.1 - Prob. 15ECh. 4.1 - Rolling Two Dice If two dice are rolled one time,...Ch. 4.1 - Prob. 17ECh. 4.1 - Drawing a Card If a card is drawn from a deck,...Ch. 4.1 - Shopping Mall Promotion A shopping mall has set up...Ch. 4.1 - Selecting a State Choose one of the 50 states at...Ch. 4.1 - Human Blood Types Human blood is grouped into four...Ch. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Rural Speed Limits Rural speed limits for all 50...Ch. 4.1 - Prob. 25ECh. 4.1 - Sources of Energy Uses in the United States A...Ch. 4.1 - Prob. 27ECh. 4.1 - Computers in Elementary Schools Elementary and...Ch. 4.1 - College Debt The following information shows the...Ch. 4.1 - Population of Hawaii The population of Hawaii is...Ch. 4.1 - Prob. 31ECh. 4.1 - Living Arrangements for Children Here are the...Ch. 4.1 - Prob. 33ECh. 4.1 - Federal Government Revenue The source of federal...Ch. 4.1 - Selecting a Bill A box contains a 1 bill, a 5...Ch. 4.1 - Tossing Coins Draw a tree diagram and determine...Ch. 4.1 - Prob. 37ECh. 4.1 - Family Dinner Combinations A family special at a...Ch. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Distribution of CEO Ages The distribution of ages...Ch. 4.1 - Tossing a Coin A person flipped a coin 100 times...Ch. 4.1 - Medical Treatment A medical doctor stated that...Ch. 4.1 - Wheel Spinner The wheel spinner shown here is spun...Ch. 4.1 - Tossing Coins Toss three coins 128 times and...Ch. 4.1 - Applying the Concepts 41 Tossing a Coin Assume you...Ch. 4.1 - Odds Odds are used in gambling games to make them...Ch. 4.2 - Applying the Concepts 42 Which Pain Reliever Is...Ch. 4.2 - Define mutually exclusive events, and give an...Ch. 4.2 - Explain briefly why addition rule 2 can be used...Ch. 4.2 - Prob. 3ECh. 4.2 - Determine whether these events are mutually...Ch. 4.2 - College Degrees Awarded The table below represents...Ch. 4.2 - Riding to School The probability that John will...Ch. 4.2 - Medical Specialities The following doctors were...Ch. 4.2 - U.S. Population The data show the U.S. population...Ch. 4.2 - Prob. 9ECh. 4.2 - Selecting a Movie A media rental store rented the...Ch. 4.2 - Prob. 11ECh. 4.2 - Selecting a Book At a used-book sale, 100 books...Ch. 4.2 - Young Adult Residences According to the Bureau of...Ch. 4.2 - Endangered Species The chart below shows the...Ch. 4.2 - Multiple Births The number of multiple births in...Ch. 4.2 - Licensed Drivers in the United States In a recent...Ch. 4.2 - Prob. 17ECh. 4.2 - Mail Delivery A local postal carrier distributes...Ch. 4.2 - Medical Tests on Emergency Patients The frequency...Ch. 4.2 - College Fundraiser A social organization of 32...Ch. 4.2 - Prob. 21ECh. 4.2 - Medical Patients A recent study of 300 patients...Ch. 4.2 - Prob. 23ECh. 4.2 - Rolling Die Two dice are rolled. Find the...Ch. 4.2 - Prob. 25ECh. 4.2 - Rolling Dice Three dice are rolled. Find the...Ch. 4.2 - Prob. 27ECCh. 4.2 - Building a New Home In building new homes, a...Ch. 4.2 - Prob. 29ECCh. 4.2 - Prob. 30ECCh. 4.2 - Prob. 31ECCh. 4.2 - Events A and B are mutually exclusive with P(A)...Ch. 4.3 - Prob. 1ACCh. 4.3 - State which events are independent and which are...Ch. 4.3 - State which events are independent and which are...Ch. 4.3 - Video and Computer Games Sixty-nine percent of...Ch. 4.3 - Seat Belt Use The Gallup Poll reported that 52% of...Ch. 4.3 - Automobile Sales An automobile salesperson finds...Ch. 4.3 - Prison Populations If 25% of U.S. federal prison...Ch. 4.3 - Prob. 7ECh. 4.3 - Working Women and Computer Use It is reported that...Ch. 4.3 - Prob. 9ECh. 4.3 - Selecting Marbles A bag contains 9 red marbles, 8...Ch. 4.3 - Prob. 11ECh. 4.3 - Flashlight Batteries A flashlight has 6 batteries,...Ch. 4.3 - Prob. 13ECh. 4.3 - Scientific Study In a scientific study there are 8...Ch. 4.3 - Prob. 15ECh. 4.3 - Winning a Door Prize At a gathering consisting of...Ch. 4.3 - Prob. 17ECh. 4.3 - Sales A manufacturer makes two models of an item:...Ch. 4.3 - Student Financial Aid In a recent year 8,073,000...Ch. 4.3 - Selecting Colored Balls Urn 1 contains 5 red balls...Ch. 4.3 - Automobile Insurance An insurance company...Ch. 4.3 - Defective Items A production process produces an...Ch. 4.3 - Prison Populations For a recent year, 0.99 of the...Ch. 4.3 - Rolling Dice Roll two standard dice and add the...Ch. 4.3 - Heart Disease Twenty-five percent of all deaths...Ch. 4.3 - Country Club Activities At the Avonlea Country...Ch. 4.3 - College Courses At a large university, the...Ch. 4.3 - Congressional Terms Below is given the summary...Ch. 4.3 - Pizza and Salads In a pizza restaurant, 95% of the...Ch. 4.3 - Gift Baskets The Gift Basket Store had the...Ch. 4.3 - Blood Types and Rh Factors In addition to being...Ch. 4.3 - Doctor Specialties Below are listed the numbers of...Ch. 4.3 - Lightning Strikes It has been said that the...Ch. 4.3 - Prob. 34ECh. 4.3 - Leisure Time Exercise Only 27% of U.S. adults get...Ch. 4.3 - Customer Purchases In a department store there are...Ch. 4.3 - Marital Status of Women According to the...Ch. 4.3 - Fatal Accidents The American Automobile...Ch. 4.3 - On-Time Airplane Arrivals According to FlightStats...Ch. 4.3 - On-Time Flights A flight from Pittsburgh to...Ch. 4.3 - Reading to Children Fifty-eight percent of...Ch. 4.3 - Doctoral Assistantships Of Ph.D. students, 60%...Ch. 4.3 - Prob. 43ECh. 4.3 - Autism In recent years it was thought that...Ch. 4.3 - Prob. 45ECh. 4.3 - Medication Effectiveness A medication is 75%...Ch. 4.3 - Prob. 47ECh. 4.3 - Selecting a Letter of the Alphabet If 3 letters of...Ch. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Selecting a Flower In a large vase, there are 8...Ch. 4.3 - Let A and B be two mutually exclusive events. Are...Ch. 4.3 - Types of Vehicles The Bargain Auto Mall has the...Ch. 4.3 - Prob. 55ECCh. 4.3 - Commercials Event A is the event that a person...Ch. 4.3 - Given a sample space with events A and B such that...Ch. 4.3 - Childs Board Game In a childs board game of the...Ch. 4.3 - Bags Containing Marbles Two bags contain marbles....Ch. 4.4 - Garage Door Openers Garage door openers originally...Ch. 4.4 - Zip Codes How many 5-digit zip codes are possible...Ch. 4.4 - Letter Permutations List all the permutations of...Ch. 4.4 - Prob. 3ECh. 4.4 - Visiting Nurses How many different ways can a...Ch. 4.4 - Quinto Lottery A lottery game called Quinto is...Ch. 4.4 - Show Programs Three bands and two comics are...Ch. 4.4 - Prob. 7ECh. 4.4 - Radio Station Call Letters The call letters of a...Ch. 4.4 - Prob. 9ECh. 4.4 - Secret Code Word How many 4-letter code words can...Ch. 4.4 - Passwords Given the characters A, B, C, H, I, T,...Ch. 4.4 - Automobile Trips There are 2 major roads from city...Ch. 4.4 - Prob. 13ECh. 4.4 - Evaluate each expression. a. 6! b. 11! c. 2! d. 9!...Ch. 4.4 - Sports Car Stripes How many different 4-color code...Ch. 4.4 - Manufacturing Tests An inspector must select 3...Ch. 4.4 - Prob. 17ECh. 4.4 - Inspecting Restaurants How many different ways can...Ch. 4.4 - Prob. 19ECh. 4.4 - Word Permutation How many different 4-letter...Ch. 4.4 - ID Cards How many different ID cards can be made...Ch. 4.4 - Free-Sample Requests An online coupon service has...Ch. 4.4 - Ticket Selection How many different ways can 4...Ch. 4.4 - Movie Selections The Foreign Language Club is...Ch. 4.4 - Task Assignments How many ways can an adviser...Ch. 4.4 - Agency Cases An investigative agency has 7 cases...Ch. 4.4 - Signal Flags How many different flag signals, each...Ch. 4.4 - Word Permutations How many permutations can be...Ch. 4.4 - Code Words How many different 9-letter code words...Ch. 4.4 - Toothpaste Display How many different ways can 5...Ch. 4.4 - Book Arrangements How many different ways can 6...Ch. 4.4 - Word Permutations How many permutations can be...Ch. 4.4 - Evaluate each expression. a. 5C2 b. 8C3 c. 7C4 d....Ch. 4.4 - Evaluate each expression. a. 3C0 b. 3C3 c. 9C7 d....Ch. 4.4 - Prob. 35ECh. 4.4 - Selecting Players How many ways can 4 baseball...Ch. 4.4 - Prob. 37ECh. 4.4 - Selecting Christmas Presents If a person can...Ch. 4.4 - Buffet Desserts In how many ways can you choose 3...Ch. 4.4 - Bridge Foursomes How many different tables of 4...Ch. 4.4 - Music Recital Six students are performing one song...Ch. 4.4 - Freight Train Cars In a train yard there are 4...Ch. 4.4 - Selecting a Committee There are 7 women and 5 men...Ch. 4.4 - Buffet Desserts In how many ways can you choose 3...Ch. 4.4 - Hawaiian Words The Hawaiian alphabet consists of 7...Ch. 4.4 - Selecting a Jury How many ways can a jury of 6...Ch. 4.4 - Selecting Students How many ways can you pick 4...Ch. 4.4 - Investigative Team The state narcotics bureau must...Ch. 4.4 - Prob. 49ECh. 4.4 - Charity Event Participants There are 16 seniors...Ch. 4.4 - Prob. 51ECh. 4.4 - DVD Selection How many ways can a person select 8...Ch. 4.4 - Prob. 53ECh. 4.4 - Selecting a Location An advertising manager...Ch. 4.4 - Prob. 55ECh. 4.4 - Test Marketing Products Anderson Research Company...Ch. 4.4 - Prob. 57ECh. 4.4 - Selecting Musicals How many different ways can a...Ch. 4.4 - Textbook Selection How many different ways can an...Ch. 4.4 - DVD Selection How many ways can a person select 8...Ch. 4.4 - Prob. 61ECh. 4.4 - Signal Flags How many different signals can be...Ch. 4.4 - Prob. 63ECh. 4.4 - Air Pollution The Environmental Protection Agency...Ch. 4.4 - Selecting Officers In a board of directors...Ch. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECCh. 4.4 - Prob. 68ECCh. 4.4 - Seating in a Movie Theater How many different ways...Ch. 4.4 - Prob. 70ECCh. 4.4 - Prob. 71ECCh. 4.4 - Prob. 72ECCh. 4.5 - Applying the Concepts 45 Counting Rules and...Ch. 4.5 - Selecting Cards Find the probability of getting 2...Ch. 4.5 - Selecting Cards Cards numbered 110 are shuffled...Ch. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Job Applications Six men and seven women apply for...Ch. 4.5 - Defective Resistors A package contains 12...Ch. 4.5 - Prob. 7ECh. 4.5 - Getting a Full House Find the probability of...Ch. 4.5 - World-Class Orchestras About.coms list of 20 World...Ch. 4.5 - Selecting Cards The red face cards and the black...Ch. 4.5 - Socks in a Drawer A drawer contains 11 identical...Ch. 4.5 - Selecting Books Find the probability of selecting...Ch. 4.5 - Prob. 13ECh. 4.5 - Football Team Selection A football team consists...Ch. 4.5 - Arrangement of Washers Find the probability that...Ch. 4.5 - Poker Hands Using the information in Exercise 70...Ch. 4.5 - Prob. 17ECh. 4 - Prob. 4.1.1RECh. 4 - Selecting a Card When a card is selected from a...Ch. 4 - Software Selection The top-10 selling computer...Ch. 4 - Motor Vehicle Producers The top five motor vehicle...Ch. 4 - Prob. 4.1.5RECh. 4 - Rolling Two Dice When two dice are rolled, find...Ch. 4 - Prob. 4.2.7RECh. 4 - Breakfast Drink In a recent survey, 18 people...Ch. 4 - Prob. 4.2.9RECh. 4 - Prob. 4.2.10RECh. 4 - Online Course Selection Roughly 1 in 6 students...Ch. 4 - Purchasing Sweaters During a sale at a mens store,...Ch. 4 - Drawing Cards Three cards are drawn from an...Ch. 4 - Coin Toss and Card Drawn A coin is tossed and a...Ch. 4 - Movie Releases The top five countries for movie...Ch. 4 - Factory Output A manufacturing company has three...Ch. 4 - Effectiveness of Vaccine A vaccine has a 90%...Ch. 4 - T-shirt Factories Two T-shirt printing factories...Ch. 4 - Car Purchase The probability that Sue will live on...Ch. 4 - Prob. 4.3.20RECh. 4 - Prob. 4.3.21RECh. 4 - Bad Weather The probability that it snows and the...Ch. 4 - Education Level and Smoking At a large factory,...Ch. 4 - Prob. 4.3.24RECh. 4 - Prob. 4.3.25RECh. 4 - Prob. 4.3.26RECh. 4 - Prob. 4.4.27RECh. 4 - Prob. 4.4.28RECh. 4 - Prob. 4.4.29RECh. 4 - Prob. 4.4.30RECh. 4 - Prob. 4.4.31RECh. 4 - Committee Representation There are 6 Republican, 5...Ch. 4 - Song Selections A promotional MP3 player is...Ch. 4 - Prob. 4.4.34RECh. 4 - Prob. 4.4.35RECh. 4 - Prob. 4.4.36RECh. 4 - Prob. 4.4.37RECh. 4 - Prob. 4.4.38RECh. 4 - Prob. 4.4.39RECh. 4 - Prob. 4.4.40RECh. 4 - Prob. 4.5.41RECh. 4 - License Plates A certain states license plate has...Ch. 4 - Territorial Selection Several territories and...Ch. 4 - Yahtzee Yahtzee is a game played with 5 dice....Ch. 4 - Personnel Classification For a survey, a subject...Ch. 4 - Determine whether each statement is true or false....Ch. 4 - Determine whether each statement is true or false....Ch. 4 - Prob. 3CQCh. 4 - Prob. 4CQCh. 4 - Determine whether each statement is true or false....Ch. 4 - Determine whether each statement is true or false....Ch. 4 - Prob. 7CQCh. 4 - Prob. 8CQCh. 4 - Prob. 9CQCh. 4 - When a meteorologist says that there is a 30%...Ch. 4 - The sample space for tossing 3 coins consists of...Ch. 4 - Prob. 12CQCh. 4 - When two dice are rolled, the sample space...Ch. 4 - Prob. 14CQCh. 4 - What is the number of permutations of 6 different...Ch. 4 - Prob. 16CQCh. 4 - Prob. 17CQCh. 4 - Complete the following statements with the best...Ch. 4 - Complete the following statements with the best...Ch. 4 - Complete the following statements with the best...Ch. 4 - Complete the following statements with the best...Ch. 4 - Complete the following statements with the best...Ch. 4 - Prob. 23CQCh. 4 - Selecting a Card When a card is drawn from a deck,...Ch. 4 - Selecting a Sweater At a mens clothing store, 12...Ch. 4 - Prob. 26CQCh. 4 - Appliance Ownership The probability that a person...Ch. 4 - Starting Salaries Of the physics graduates of a...Ch. 4 - Prob. 29CQCh. 4 - Scholarships The probability that Samantha will be...Ch. 4 - Prob. 31CQCh. 4 - Prob. 32CQCh. 4 - Work and Weather The probability that Mike has to...Ch. 4 - Education of Factory Employees At a large factory,...Ch. 4 - Heart Attacks In a certain high-risk group, the...Ch. 4 - Rolling a Die A single die is rolled 4 times. Find...Ch. 4 - Prob. 37CQCh. 4 - Singer Selection How many ways can 5 sopranos and...Ch. 4 - Speaker Selection How many different ways can 8...Ch. 4 - Stocking Machines A soda machine servicer must...Ch. 4 - ID Cards One companys ID cards consist of 5...Ch. 4 - Prob. 42CQCh. 4 - Prob. 43CQCh. 4 - Prob. 44CQCh. 4 - Prob. 45CQCh. 4 - Cruise Ship Activities A cruise director schedules...Ch. 4 - Prob. 47CQCh. 4 - Prob. 48CQCh. 4 - Toy Display A toy store manager wants to display 7...Ch. 4 - Commercial Order A local television station must...Ch. 4 - Prob. 1CTCCh. 4 - Prob. 2CTCCh. 4 - Prob. 3CTCCh. 4 - Prob. 4CTCCh. 4 - Prob. 4DP
Knowledge Booster
Similar questions
- Question 2 A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially serious problem in the final part because it can lead to nonrecoverable failure. A test is run at the parts producer to determine the effect of four factors on cracks. The four factors are: pouring temperature (A), titanium content (B), heat treatment method (C), amount of grain refiner used (D). Two replicates of a 24 design are run, and the length of crack (in mm x10-2) induced in a sample coupon subjected to a standard test is measured. The data are shown in Table 2. 1 (a) Estimate the factor effects. Which factor effects appear to be large? (b) Conduct an analysis of variance. Do any of the factors affect cracking? Use a = 0.05. (c) Write down a regression model that can be used to predict crack length as a function of the significant main effects and interactions you have identified in part (b). (d) Analyze the residuals from this experiment. (e) Is there an…arrow_forwardA 24-1 design has been used to investigate the effect of four factors on the resistivity of a silicon wafer. The data from this experiment are shown in Table 4. Table 4: Resistivity Experiment for Exercise 5 Run A B с D Resistivity 1 23 2 3 4 5 6 7 8 9 10 11 12 I+I+I+I+Oooo 0 0 ||++TI++o000 33.2 4.6 31.2 9.6 40.6 162.4 39.4 158.6 63.4 62.6 58.7 0 0 60.9 3 (a) Estimate the factor effects. Plot the effect estimates on a normal probability scale. (b) Identify a tentative model for this process. Fit the model and test for curvature. (c) Plot the residuals from the model in part (b) versus the predicted resistivity. Is there any indication on this plot of model inadequacy? (d) Construct a normal probability plot of the residuals. Is there any reason to doubt the validity of the normality assumption?arrow_forwardStem1: 1,4 Stem 2: 2,4,8 Stem3: 2,4 Stem4: 0,1,6,8 Stem5: 0,1,2,3,9 Stem 6: 2,2 What’s the Min,Q1, Med,Q3,Max?arrow_forward
- Are the t-statistics here greater than 1.96? What do you conclude? colgPA= 1.39+0.412 hsGPA (.33) (0.094) Find the P valuearrow_forwardA poll before the elections showed that in a given sample 79% of people vote for candidate C. How many people should be interviewed so that the pollsters can be 99% sure that from 75% to 83% of the population will vote for candidate C? Round your answer to the whole number.arrow_forwardSuppose a random sample of 459 married couples found that 307 had two or more personality preferences in common. In another random sample of 471 married couples, it was found that only 31 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common. Find a95% confidence interval for . Round your answer to three decimal places.arrow_forward
- A history teacher interviewed a random sample of 80 students about their preferences in learning activities outside of school and whether they are considering watching a historical movie at the cinema. 69 answered that they would like to go to the cinema. Let p represent the proportion of students who want to watch a historical movie. Determine the maximal margin of error. Use α = 0.05. Round your answer to three decimal places. arrow_forwardA random sample of medical files is used to estimate the proportion p of all people who have blood type B. If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 99% sure that the point estimate will be within a distance of 0.07 from p? Round your answer to the next higher whole number.arrow_forwardA clinical study is designed to assess the average length of hospital stay of patients who underwent surgery. A preliminary study of a random sample of 70 surgery patients’ records showed that the standard deviation of the lengths of stay of all surgery patients is 7.5 days. How large should a sample to estimate the desired mean to within 1 day at 95% confidence? Round your answer to the whole number.arrow_forward
- A clinical study is designed to assess the average length of hospital stay of patients who underwent surgery. A preliminary study of a random sample of 70 surgery patients’ records showed that the standard deviation of the lengths of stay of all surgery patients is 7.5 days. How large should a sample to estimate the desired mean to within 1 day at 95% confidence? Round your answer to the whole number.arrow_forwardIn the experiment a sample of subjects is drawn of people who have an elbow surgery. Each of the people included in the sample was interviewed about their health status and measurements were taken before and after surgery. Are the measurements before and after the operation independent or dependent samples?arrow_forwardiid 1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution depend on the mean and variance of the underlying random variables (i.e., the population mean and variance). The approximation can be written to emphasize this, using the expec- tation and variance of one of the random variables in the sample instead of the parameters μ, 02: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman