Intro Stats, Books a la Carte Edition (5th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134210285
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Chapter 4, Problem 26E

a.

To determine

Compare the distributions of the gas prices over the eight years.

b.

To determine

Compare the stability of the gas prices over the eight years.

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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.
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Chapter 4 Solutions

Intro Stats, Books a la Carte Edition (5th Edition)

Ch. 4 - Prob. 8ECh. 4 - Prob. 9ECh. 4 - Exoplanets re-expressed Here are the exoplanet...Ch. 4 - Pizza prices by city (Data in Pizza prices) The...Ch. 4 - Cost of living 2016, selected cities To help...Ch. 4 - Prob. 16ECh. 4 - Prob. 17ECh. 4 - Slalom times 2014 The Mens Giant Slalom skiing...Ch. 4 - Sugar in cereals Sugar is a major ingredient in...Ch. 4 - Tendon transfers People with spinal cord injuries...Ch. 4 - Population growth, 2010 by region (Data in...Ch. 4 - Camp sites Shown below are the histogram and...Ch. 4 - Hospital stays The U.S. National Center for Health...Ch. 4 - Deaths 2014 A National Vital Statistics Report...Ch. 4 - Womens basketball Here are boxplots of the points...Ch. 4 - Prob. 26ECh. 4 - Marriage age In 1975, did men and women marry at...Ch. 4 - Fuel economy and cylinders Describe what these...Ch. 4 - Prob. 29ECh. 4 - Ozone Ozone levels (in parts per billion, ppb)...Ch. 4 - Test scores Three statistics classes all took the...Ch. 4 - Prob. 32ECh. 4 - Graduation? A survey of major universities asked...Ch. 4 - Vineyards Here are summary statistics for the...Ch. 4 - Caffeine A student study of the effects of...Ch. 4 - SAT scores Here are the summary statistics for...Ch. 4 - Prob. 37ECh. 4 - Framingham cholesterol The Framingham Heart Study...Ch. 4 - Prob. 39ECh. 4 - Cloud seeding In an experiment to determine...Ch. 4 - Industrial experiment Engineers at a computer...Ch. 4 - Cholesterol and smoking A study that examined the...Ch. 4 - Prob. 43ECh. 4 - Assets Here is a histogram of the assets (in...Ch. 4 - Prob. 46ECh. 4 - Assets again Here are the same data you saw in...Ch. 4 - Rainmakers The table lists the amounts of rainfall...Ch. 4 - Stereograms Stereograms appear to be composed...Ch. 4 - Stereograms, revisited Because of the skewness of...Ch. 4 - Prob. 51ECh. 4 - Prob. 52E
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