Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 9, Problem 52P
Draw the general graph of a left-tailed test.
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
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x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
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No.
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ALABAMA
Rand No.
0.925957526
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ALASKA
0.372999976
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3
ARIZONA
0.941323044
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4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
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No.
States
Rand No. Random Sample
population
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1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
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0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
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5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
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6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.
1.What percent of the refunds are more than $3,500?
2. What percent of the refunds are more than $3500 but less than $3579?
3. What percent of the refunds are more than $3325 but less than $3579?
A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?
1. Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the answer of the second part.)
2. Compute the probability of a value greater than 55.0.
Use the same formula, x=55 and subtract the answer from 1.
3. Compute the probability of a value between 52.0 and 55.0.
(The question requires finding probability value between 52 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 52, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
Chapter 9 Solutions
Introductory Statistics
Ch. 9 - A medical trial is conducted to test whether or...Ch. 9 - We want to test whether the mean height of eighth...Ch. 9 - We want to test If It takes fewer than 45 minutes...Ch. 9 - On a state drivers test. about .10% pass the test...Ch. 9 - Suppose the null hypothesis, H0, Is: the blood...Ch. 9 - Suppose the null hypothesis. H0. Is: a patient is...Ch. 9 - “Red tide” is a bloom of poison-producing algae—a...Ch. 9 - Determine both Type I and Type II errors for the...Ch. 9 - A normal distribution has a standard deviation of...Ch. 9 - Its a Boy Genetics Labs claim their procedures...
Ch. 9 - H0:=10, H0:< 10 Assume the p-value is 0.0935. What...Ch. 9 - H0:1,Ha:1 Assume the p-value is 0.1243. What type...Ch. 9 - H0:p=0.5,Ha:p0.5 Assume the p-value is 0.2564....Ch. 9 - The mean throwing distance of a football for...Ch. 9 - It is believed that a stock price for a particular...Ch. 9 - A teacher believes that 85% of students in the...Ch. 9 - Marketers believe that 92% of adults In the United...Ch. 9 - You are testing that the mean speed of your cable...Ch. 9 - You ate testing that the mean speed of your cable...Ch. 9 - The American family has an average of two...Ch. 9 - The mean entry level salary of an employee at a...Ch. 9 - A sociologist claims the probability that a person...Ch. 9 - A sociologist claims the probability that a person...Ch. 9 - In a population of fish approximately 42% are...Ch. 9 - Suppose that a recent article stated that the mean...Ch. 9 - A random survey of 75 death row Inmates revealed...Ch. 9 - The National Institute of Mental Health published...Ch. 9 - The mean price of mid-sized cars In a region is...Ch. 9 - A sleeping bag Is rested to withstand temperatures...Ch. 9 - For Exercise 9.12, what are and in words?Ch. 9 - In words, describe 1— 3For Exercise 9.12.Ch. 9 - A group of doctors is deciding whether or not to...Ch. 9 - A group of doctors is deciding whether or not to...Ch. 9 - The power of a test is 0.981. What is the...Ch. 9 - A group of divers is exploring an old sunken ship....Ch. 9 - A microbiologist is testing a water sample for...Ch. 9 - A microbiologist is testing a water sample for...Ch. 9 - Which two distributions can you use for hypothesis...Ch. 9 - Which distribution do you use when you are testing...Ch. 9 - Which distribution do you use when the standard...Ch. 9 - A population mean Is 13. The sample mean is 12.8....Ch. 9 - A population has a mean is 25 and a standard...Ch. 9 - It Is thought that .12% of respondents in a taste...Ch. 9 - You ate performing a hypothesis test of a single...Ch. 9 - You are performing a hypothesis test of a single...Ch. 9 - You are performing a hypothesis test of a single...Ch. 9 - You are performing a hypothesis test of a single...Ch. 9 - You are peform1ng a hypothesis test of a single...Ch. 9 - When do you reject the null hypothesis?Ch. 9 - The probability of winning the grand prize at a...Ch. 9 - The probability of winning the grand prize at a...Ch. 9 - It is believed that the mean height of high school...Ch. 9 - The mean age of graduate students at a University...Ch. 9 - Does the shaded region represent a low or a high...Ch. 9 - What should you do when a >p-value?Ch. 9 - What should you do if a = p-value?Ch. 9 - If you do not reject the null hypothesis, then it...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - Use the blowing information to answer the next...Ch. 9 - A random survey of 75 death row inmates revealed...Ch. 9 - Assume H0: = 9 and H0:< 9. Is this a left-tailed,...Ch. 9 - Assume H0:6 and H0: > 6. Is this a left-tailed,...Ch. 9 - Assume H0: p = 0.25 and Ha: p 0.25. Is this a...Ch. 9 - Draw the general graph of a left-tailed test.Ch. 9 - Draw the graph of a two-tailed test.Ch. 9 - A bottle of water Is labeled as containing 16...Ch. 9 - Your friend claims that his mean golf score Is 63....Ch. 9 - A bathroom scale claims to be able to dentify...Ch. 9 - You flip a coin and record whether it shows heads...Ch. 9 - If the alternative hypothesis has a not equals ( )...Ch. 9 - Assume the null hypothesis states that the mean is...Ch. 9 - Assume the null hypothesis states that the mean is...Ch. 9 - Assume the null hypothesis states that the mean Is...Ch. 9 - Some of the following statements refer to the null...Ch. 9 - Over the past few decades, public health officials...Ch. 9 - A statistics instructor believes that fewer than...Ch. 9 - Previously, an organization reported that...Ch. 9 - State the Type I and Type II errors in complete...Ch. 9 - For statements a-j in Exercise 9.109. answer the...Ch. 9 - When a new drug is created. the pharmaceutical...Ch. 9 - A statistics instructor believes that fewer than...Ch. 9 - It Is believed that Lake Tahoe Community College...Ch. 9 - Previously, an organization reported that...Ch. 9 - It Is believed that Lake Tahoe Community College...Ch. 9 - The National Institute of Mental Health published...Ch. 9 - A particular brand of tires claims that its deluxe...Ch. 9 - From generation to generation, the mean age when...Ch. 9 - The cost of a daily newspaper varies from city to...Ch. 9 - An article in the San Jose Mercury News stated...Ch. 9 - The mean number of sick days an employee takes per...Ch. 9 - In 1955, Life Magazine reported that the 25...Ch. 9 - Your sta1stIcs Instructor claims that 60 percent...Ch. 9 - A Nissan Motor Corporation advertisement read, The...Ch. 9 - Refer to Exercise 9.19. Conduct a hypothesis test...Ch. 9 - According to an article in Newsweek, the natural...Ch. 9 - A poll done for Newsweek found that 13% of...Ch. 9 - The mean work week for engineers In a start-up...Ch. 9 - Use the Lap time data for Lap .1 (see Appendix C)...Ch. 9 - Use the initial Public Offering’ data (see...Ch. 9 - “Asian Family Reunion,” by Chau Nguyen Every two...Ch. 9 - ‘The Problem with Angels,” by Cyndy Dowling...Ch. 9 - “Blowing Bubbles,” by Sondra Prull Studying stats...Ch. 9 - “Dalmatian Darnation,” by Kathy Sparling A greedy...Ch. 9 - ‘MacaronI and Cheese, please! I” by Nedda...Ch. 9 - “William Shakespeare: The Tragedy of Hamlet....Ch. 9 - “Untitled.” by Stephen Chen lye often wondered how...Ch. 9 - Japanese Glrls Names’ by Kumi Furnichi It used to...Ch. 9 - ‘Phillip’s Wish,” by Suzanne Osorlo My nephew...Ch. 9 - “The Craven,” by Mark Salangsang Once upon a...Ch. 9 - Toastmasters Inteniational cites a repol by Gallop...Ch. 9 - Sixty-eight percent of online courses taught at...Ch. 9 - According to an article In Bloomberg Businessweek,...Ch. 9 - The mean age of De Anza College students in a...Ch. 9 - Registered nurses earned an average annual salary...Ch. 9 - La Leche League International reports that the...Ch. 9 - Over the past few decades, public health officials...Ch. 9 - A statistics instnictor believes that fewer than...Ch. 9 - Previously, an organization reported that...Ch. 9 - According to the Centet for Disease Control...Ch. 9 - A recent survey In the N.Y. limes Almanac...Ch. 9 - Driver error can be listed as the cause of...Ch. 9 - The US Department of Energy reported that 51.7% of...Ch. 9 - For Americans using library services, the American...Ch. 9 - The Weather Underground reported that the mean...Ch. 9 - A survey in the N.Y. limes Almanac finds the mean...Ch. 9 - A report by the Gallup Poll found that a woman...Ch. 9 - According to the N.Y Times Almanac the mean family...Ch. 9 - The student academic group on a college campus...
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