EP INTRODUCTORY STATISTICS-MYSTATLAB
3rd Edition
ISBN: 9780135190210
Author: Gould
Publisher: PEARSON CO
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Chapter 10, Problem 36SE
HPV Vaccine Literacy Rates In the study described in
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1. Sampling Distribution and the Central Limit Theorem
A company produces batteries with a mean lifetime of 300 hours and a standard deviation of 50 hours. The lifetimes are not normally distributed—they are right-skewed due to some batteries lasting unusually long.
Suppose a quality control analyst selects a random sample of 64 batteries from a large production batch.
Questions:
a) Explain whether the distribution of sample means will be approximately normal. Justify your answer using the Central Limit Theorem.
b) Compute the mean and standard deviation of the sampling distribution of the sample mean.
c) What is the probability that the sample mean lifetime of the 64 batteries exceeds 310 hours?
d) Discuss how the sample size affects the shape and variability of the sampling distribution.
A biologist is investigating the effect of potential plant
hormones by treating 20 stem segments. At the end of
the observation period he computes the following length
averages:
Compound X = 1.18
Compound Y = 1.17
Based on these mean values he concludes that there are
no treatment differences.
1) Are you satisfied with his conclusion? Why or why
not?
2) If he asked you for help in analyzing these data, what
statistical method would you suggest that he use to
come to a meaningful conclusion about his data and
why?
3) Are there any other questions you would ask him
regarding his experiment, data collection, and analysis
methods?
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Chapter 10 Solutions
EP INTRODUCTORY STATISTICS-MYSTATLAB
Ch. 10 - Tests a. In Chapter 8, you learned some tests of...Ch. 10 - In Chapter 9, you learned some tests of means. Are...Ch. 10 - Crime and Gender A statistics student conducted a...Ch. 10 - Red Cars and Stop Signs The table shows the raw...Ch. 10 - The table summarizes the outcomes of a study that...Ch. 10 - Finger Length There is a theory that relative...Ch. 10 - Student Loans-California According to a 2017...Ch. 10 - Student Loans-Illinois According to a 2017 report,...Ch. 10 - Breakfast Habits (Example 1 2) In a 2015 study by...Ch. 10 - Fast Food Habits In the study referenced in...
Ch. 10 - Mummies with Heart Disease According to the...Ch. 10 - Texting While Driving According to the 2015 High...Ch. 10 - Violins Stradivarius violins, made in the 1700s by...Ch. 10 - Coin Flips You flip a coin 100 times and get 58...Ch. 10 - Prob. 15SECh. 10 - Prob. 16SECh. 10 - Are Humans Like Random Number Generators? (Example...Ch. 10 - Is the Random Number Table Really Random? We...Ch. 10 - Coin Spins A penny was spun on a hard, flat...Ch. 10 - Internet Usage In 2018 Pew Research reported that...Ch. 10 - Dreidel Spinning When playing Dreidel, (see photo)...Ch. 10 - Plastic Dreidel See exercise 10.21 for an...Ch. 10 - Is the Six-Sided Die Fair? The table shows the...Ch. 10 - Is the Six-Sided Die Fair? Repeat the chi-square...Ch. 10 - Violins Professional musicians listened to five...Ch. 10 - Mummies with Heart Disease Exercise 10.11 on...Ch. 10 - Party and Right Direction (Example 4) Suppose a...Ch. 10 - Antibiotic or Placebo A large number of surgery...Ch. 10 - Relevant Education (Example 5) A 2018 Gallup poll...Ch. 10 - Prob. 30SECh. 10 - Fitness The table shows the percentage of all men...Ch. 10 - Food Security The table shows the percentage of...Ch. 10 - Fitness App Use and Gender (Example 6) In a 2015...Ch. 10 - Diet App Use and Gender In the study referenced in...Ch. 10 - HPV Vaccination Rates A vaccine is available to...Ch. 10 - HPV Vaccine Literacy Rates In the study described...Ch. 10 - Gender and Happiness of Marriage The table shows...Ch. 10 - Is Smiling Independent of Age? Randomly chosen...Ch. 10 - Preschool Attendance and High School Graduation...Ch. 10 - Preschool Attendance and High School Graduation...Ch. 10 - Preschool Attendance and High School Graduation...Ch. 10 - Prob. 42SECh. 10 - Prob. 43SECh. 10 - Marijuana Legalization The 2018 Pew Research poll...Ch. 10 - Brain Bleed Treatment In a 2018 article published...Ch. 10 - Multiple Sclerosis Treatment In a 2018 article...Ch. 10 - Prob. 47SECh. 10 - Political Party Affiliation and Generation A 2018...Ch. 10 - Prob. 49SECh. 10 - Night Shifts A random sample of nurses working...Ch. 10 - Gender and Political Party Affiliation The data in...Ch. 10 - Children and Happiness The data in the table come...Ch. 10 - Prob. 53SECh. 10 - Nice Rats Rats had a choice of freeing another rat...Ch. 10 - Peanut Allergies In a 2015 study reported in the...Ch. 10 - Peanut Allergies In the study described in...Ch. 10 - Prob. 57CRECh. 10 - In exercises 10.57 to 10.64, choose an appropriate...Ch. 10 - Prob. 59CRECh. 10 - Prob. 60CRECh. 10 - Prob. 61CRECh. 10 - In exercises 10.57 to 10.64, choose an appropriate...Ch. 10 - Prob. 63CRECh. 10 - In exercises 10.57 to 10.64, choose an appropriate...Ch. 10 - Perry Preschool Arrests The Perry Preschool...Ch. 10 - Parental Training and Criminal Behavior of...Ch. 10 - Prob. 67CRECh. 10 - Prob. 68CRECh. 10 - Harassment in the Workplace An 2017 NPR/Marist...Ch. 10 - Prob. 70CRECh. 10 - Robot Cockroaches Cockroaches tend to rest in...Ch. 10 - Robot Cockroaches Refer to the description in...Ch. 10 - Prob. 73CRECh. 10 - Conviction Rate with Opposite Race Here are the...
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- What is the solution and answer to question?arrow_forwardTo: [Boss's Name] From: Nathaniel D Sain Date: 4/5/2025 Subject: Decision Analysis for Business Scenario Introduction to the Business Scenario Our delivery services business has been experiencing steady growth, leading to an increased demand for faster and more efficient deliveries. To meet this demand, we must decide on the best strategy to expand our fleet. The three possible alternatives under consideration are purchasing new delivery vehicles, leasing vehicles, or partnering with third-party drivers. The decision must account for various external factors, including fuel price fluctuations, demand stability, and competition growth, which we categorize as the states of nature. Each alternative presents unique advantages and challenges, and our goal is to select the most viable option using a structured decision-making approach. Alternatives and States of Nature The three alternatives for fleet expansion were chosen based on their cost implications, operational efficiency, and…arrow_forwardBusinessarrow_forward
- Why researchers are interested in describing measures of the center and measures of variation of a data set?arrow_forwardWHAT IS THE SOLUTION?arrow_forwardThe following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency from the ungrouped data list. B. Group the data in an appropriate frequency table. C. Calculate the Measures of Central Tendency using the table in point B. 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8arrow_forward
- II Consider the following data matrix X: X1 X2 0.5 0.4 0.2 0.5 0.5 0.5 10.3 10 10.1 10.4 10.1 10.5 What will the resulting clusters be when using the k-Means method with k = 2. In your own words, explain why this result is indeed expected, i.e. why this clustering minimises the ESS map.arrow_forwardwhy the answer is 3 and 10?arrow_forwardPS 9 Two films are shown on screen A and screen B at a cinema each evening. The numbers of people viewing the films on 12 consecutive evenings are shown in the back-to-back stem-and-leaf diagram. Screen A (12) Screen B (12) 8 037 34 7 6 4 0 534 74 1645678 92 71689 Key: 116|4 represents 61 viewers for A and 64 viewers for B A second stem-and-leaf diagram (with rows of the same width as the previous diagram) is drawn showing the total number of people viewing films at the cinema on each of these 12 evenings. Find the least and greatest possible number of rows that this second diagram could have. TIP On the evening when 30 people viewed films on screen A, there could have been as few as 37 or as many as 79 people viewing films on screen B.arrow_forward
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