ELEMENTARY STATISTICS: STEP BY STEP- ALE
10th Edition
ISBN: 9781266422362
Author: Bluman
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Textbook Question
Chapter 6.1, Problem 28E
In Exercises 27 through 40, find the
28. P(0 < z < 1.96)
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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 6 Solutions
ELEMENTARY STATISTICS: STEP BY STEP- ALE
Ch. 6.1 - Many times in statistics it is necessary to see if...Ch. 6.1 - What are the characteristics of an normal...Ch. 6.1 - Why is the standard normal distribution important...Ch. 6.1 - What is the total area under the standard normal...Ch. 6.1 - What percentage of the area falls below the mean?...Ch. 6.1 - About what percentage of the area under the normal...Ch. 6.1 - What are two other names for a normal...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...
Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - For Exercises 41 through 46, find the z value that...Ch. 6.1 - For Exercises 41 through 46, find the z value that...Ch. 6.1 - For Exercises 41 through 46, find the z value that...Ch. 6.1 - For Exercises 41 through 46, find the z value that...Ch. 6.1 - For Exercises 41 through 46, find the z value that...Ch. 6.1 - For Exercises 41 through 46, find the z value that...Ch. 6.1 - Find the z value to the left of the mean so that...Ch. 6.1 - Find the z value to the right of the mean so that...Ch. 6.1 - Find two z values, one positive and one negative,...Ch. 6.1 - Find two z values so that 48% of the middle area...Ch. 6.1 - Prob. 51ECCh. 6.1 - Prob. 52ECCh. 6.1 - Prob. 53ECCh. 6.1 - For Exercises 5356, z0 is the statistical notation...Ch. 6.1 - Prob. 55ECCh. 6.1 - Prob. 56ECCh. 6.1 - Prob. 57ECCh. 6.1 - Prob. 58ECCh. 6.1 - Prob. 59ECCh. 6.1 - Find P(z 2.3 and z 1.2).Ch. 6.2 - Applying the Concepts 62 Smart People Assume you...Ch. 6.2 - Automobile Workers A worker in the automobile...Ch. 6.2 - Teachers Salaries The average annual salary for...Ch. 6.2 - Population in U.S. Jails The average daily jail...Ch. 6.2 - SAT Scores The national average SAT score (for...Ch. 6.2 - 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Drive-in Movies The data shown represent the...Ch. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.3 - Applying the Concepts 63 Times To Travel to School...Ch. 6.3 - Prob. 1ECh. 6.3 - Why do most of the sample means differ somewhat...Ch. 6.3 - What is the mean of the sample means?Ch. 6.3 - What is the standard deviation of the sample means...Ch. 6.3 - What does the central limit theorem say about the...Ch. 6.3 - What formula is used to gain information about an...Ch. 6.3 - Life of Smoke Detectors The average lifetime of...Ch. 6.3 - Glass Garbage Generation A survey found that the...Ch. 6.3 - New Residences The average number of moves a...Ch. 6.3 - Teachers Salaries in Connecticut The average...Ch. 6.3 - Earthquakes The average number of earthquakes that...Ch. 6.3 - Teachers Salaries in North Dakota The average...Ch. 6.3 - Movie Ticket Prices In the second quarter of 2015,...Ch. 6.3 - SAT Scores The national average SAT score (for...Ch. 6.3 - Cost of Overseas Trip The average overseas trip...Ch. 6.3 - Cell Phone Lifetimes A recent study of the...Ch. 6.3 - Water Use The Old Farmers Almanac reports that the...Ch. 6.3 - Medicare Hospital Insurance The average yearly...Ch. 6.3 - Amount of Laundry Washed Each Year Procter Gamble...Ch. 6.3 - Per Capita Income of Delaware Residents In a...Ch. 6.3 - Monthly Precipitation for Miami The mean...Ch. 6.3 - Systolic Blood Pressure Assume that the mean...Ch. 6.3 - Cholesterol Content The average cholesterol...Ch. 6.3 - Ages of Proofreaders At a large publishing...Ch. 6.3 - TIMSS Test On the Trends in International...Ch. 6.3 - Life Expectancies In a study of the life...Ch. 6.3 - Home Values A study of 800 homeowners in a certain...Ch. 6.3 - Breaking Strength of Steel Cable The average...Ch. 6.3 - Prob. 29ECCh. 6.3 - Prob. 30ECCh. 6.4 - Applying the Concepts 64 Mountain Climbing Safety...Ch. 6.4 - Explain why a normal distribution can be used as...Ch. 6.4 - What conditions must be met to use the normal...Ch. 6.4 - Why is a correction for continuity necessary?Ch. 6.4 - When is the normal distribution not a good...Ch. 6.4 - Check each binomial distribution to see whether it...Ch. 6.4 - Check each binomial distribution to see whether it...Ch. 6.4 - Single Americans In a recent year, about 22% of...Ch. 6.4 - School Enrollment Of all 3- to 5-year-old...Ch. 6.4 - Home Ownership In a recent year, the rate of U.S....Ch. 6.4 - Mail Order A mail order company has an 8% success...Ch. 6.4 - Small Business Owners Seventy-six percent of small...Ch. 6.4 - Selected Technologies According to the World...Ch. 6.4 - Back Injuries Twenty-two percent of work injuries...Ch. 6.4 - Population of College Cities College students...Ch. 6.4 - Mistakes in Restaurant Bills About 12.5% of...Ch. 6.4 - Internet Browsers The top web browser in 2015 was...Ch. 6.4 - Female Americans Who Have Completed 4 Years of...Ch. 6.4 - Prob. 20ECh. 6.4 - Elementary School Teachers Women comprise 80.3% of...Ch. 6.4 - Prob. 22ECh. 6.4 - Prob. 23ECCh. 6 - Find the area under the standard normal...Ch. 6 - Find the area under the standard normal...Ch. 6 - Using the standard normal distribution, find each...Ch. 6 - Using the standard normal distribution, find each...Ch. 6 - Per Capita Spending on Health Care The average per...Ch. 6 - Salaries for Actuaries The average salary for...Ch. 6 - Commuter Train Passengers On a certain run of a...Ch. 6 - Monthly Spending for Paging and Messaging Services...Ch. 6 - Cost of Smartphone Repair The average cost of...Ch. 6 - Slot Machine Earnings The average amount a slot...Ch. 6 - Private Four-Year College Enrollment A random...Ch. 6 - Heights of Active Volcanoes The heights (in feet...Ch. 6 - Confectionary Products Americans ate an average of...Ch. 6 - Average Precipitation For the first 7 months of...Ch. 6 - Sodium in Frozen Food The average number of...Ch. 6 - Wireless Sound System Lifetimes A recent study of...Ch. 6 - Retirement Income Of the total population of...Ch. 6 - Slot Machines The probability of winning on a slot...Ch. 6 - Multiple-Job Holders According to the government,...Ch. 6 - Enrollment in Personal Finance Course In a large...Ch. 6 - U.S. Population Of the total U.S. population, 37%...Ch. 6 - Larceny-Thefts Excluding motor vehicle thefts, 26%...Ch. 6 - Determine whether each statement is true or false....Ch. 6 - Prob. 2CQCh. 6 - Determine whether each statement is true or false....Ch. 6 - The z value corresponding to a number below the...Ch. 6 - Determine whether each statement is true or false....Ch. 6 - Prob. 6CQCh. 6 - Select the best answer. 7. The mean of the...Ch. 6 - Approximately what percentage of normally...Ch. 6 - Which is not a property of the standard normal...Ch. 6 - When a distribution is positively skewed, the...Ch. 6 - Prob. 11CQCh. 6 - Complete the following statements with the best...Ch. 6 - The difference between a sample mean and a...Ch. 6 - The mean of the sample means equals ________.Ch. 6 - The standard deviation of all possible sample...Ch. 6 - The normal distribution can be used to approximate...Ch. 6 - Prob. 17CQCh. 6 - Find the area under the standard normal...Ch. 6 - Using the standard normal distribution, find each...Ch. 6 - Amount of Rain in a City The average amount of...Ch. 6 - Heights of People The average height of a certain...Ch. 6 - Sports Drink Consumption The average number of...Ch. 6 - Years to Complete a Graduate Program The average...Ch. 6 - Passengers on a Bus On the daily run of an express...Ch. 6 - Thickness of Library Books The average thickness...Ch. 6 - Prob. 26CQCh. 6 - Prob. 27CQCh. 6 - Electric Bills The average electric bill in a...Ch. 6 - Sleep Survey According to a recent survey, 38% of...Ch. 6 - Prob. 30CQCh. 6 - Household Online Connection The percentage of U.S....Ch. 6 - Prob. 32CQCh. 6 - Prob. 33CQCh. 6 - GMAT Scores The average GMAT scores for the top-30...Ch. 6 - Prob. 1CTCCh. 6 - Sometimes a researcher must decide whether a...Ch. 6 - Prob. 3CTCCh. 6 - Prob. 4CTCCh. 6 - Sometimes a researcher must decide whether a...Ch. 6 - Prob. 6CTCCh. 6 - Formulas Confirm the two formulas hold true for...
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