Statistics
13th Edition
ISBN: 9780135820100
Author: MCCLAVE, James T., Sincich, Terry
Publisher: PEARSON
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Chapter 1, Problem 32ACA
a.
To determine
Identify the experimental units for the study.
b.
To determine
Determine the variables of interest and whether they are quantitative or qualitative in nature.
c.
To determine
Describe the population of interest.
d.
To determine
Explain whether the sample of 33 respondents is representative of the population.
e.
To determine
Assign 25 individuals to play the gift-receiver role and 25 to play the gift-giver role, Using random number generator.
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Students have asked these similar questions
2. Hypothesis Testing - Two Sample Means
A nutritionist is investigating the effect of two different diet programs, A and B, on weight loss. Two
independent samples of adults were randomly assigned to each diet for 12 weeks. The weight losses (in kg)
are normally distributed.
Sample A: n = 35, 4.8, s = 1.2
Sample B: n=40, 4.3, 8 = 1.0
Questions:
a) State the null and alternative hypotheses to test whether there is a significant difference in mean weight
loss between the two diet programs.
b) Perform a hypothesis test at the 5% significance level and interpret the result.
c) Compute a 95% confidence interval for the difference in means and interpret it.
d) Discuss assumptions of this test and explain how violations of these assumptions could impact the results.
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?
Chapter 1 Solutions
Statistics
Ch. 1 - Prob. 1UPCh. 1 - 1.2 Explain the difference between descriptive and...Ch. 1 - 1.4 List and define the five elements of an...Ch. 1 - List the four major methods of collecting data,...Ch. 1 - 1.6 Explain the difference between quantitative...Ch. 1 - 1.7 Explain how populations and variables differ.
Ch. 1 - 1.8 Explain how populations and samples differ.
Ch. 1 - 1.9 What is a representative sample? What is its...Ch. 1 - 1.10 Why would a statistician consider an...Ch. 1 - 1.12 Define statistical thinking.
Ch. 1 - 1.13 Suppose you’re given a data set that...Ch. 1 - Applet Exercise 1.1
1. The Random Numbers applet...Ch. 1 - The Random Numbers applet can be used to select a...Ch. 1 - College application. Colleges and universities are...Ch. 1 - STEM experiences for girls. The National Science...Ch. 1 - Drafting NFL quarterbacks. The Journal of...Ch. 1 - Ground motion of earthquakes. In the Journal of...Ch. 1 - Sprint speed training. The Sport Journal (Winter...Ch. 1 - Corrosion prevention of buried steel structures....Ch. 1 - Student GPAs. Consider the set of all students...Ch. 1 - Medicinal value of plants. Sea buckthorn...Ch. 1 - Extinct birds. Biologists at the University of...Ch. 1 - Study of quality of drinking water. Disasters...Ch. 1 - Annual survey of computer crimes. The Computer...Ch. 1 - 1.21 Treasury deficit prior to the Civil War. In...Ch. 1 - Satellite database. The Union for Concerned...Ch. 1 - Prob. 25ACICh. 1 - 1.28 Corporate sustainability and firm...Ch. 1 - CT scanning for lung cancer. A new type of...Ch. 1 - Zillow.com estimates of home values. Zillow.com is...Ch. 1 - Massage vs. rest in boxing. Does a massage enable...Ch. 1 - Insomnia and education. Is insomnia related to...Ch. 1 - Guilt in decision making. The effect of the...Ch. 1 - Can money spent on gifts buy love? Is the gift you...Ch. 1 - Dating and disclosure. As an adolescent, did you...Ch. 1 - Jersey City drug market study. An article in the...Ch. 1 - Your choice for a mom. After running stories on...Ch. 1 - 20/20 survey exposés. Several years ago, the...
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