Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 8.3, Problem 15BSC
Testing Hypotheses. In Exercises 13-24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or
15. Garlic for Reducing Cholesterol In a test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a
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A 12-inch bar that is clamped at both ends is to be subjected to an increasing amount of stress until it snaps. Let Y = the distance from the left end at which the break occurs. Suppose Y has the following pdf.
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(b) Compute P(Y ≤ 5), P(Y > 6), and P(5 ≤ y ≤ 6). (Round your answers to three decimal places.)
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A restaurant serves three fixed-price dinners costing $12, $15, and $20. For a randomly selected couple dining at this restaurant, let X = the cost of the man's dinner and Y = the cost of the woman's dinner. The joint pmf of X and Y is given in the following table.
p(x, y)
15
y
12
20
12
0.05 0.10
0.35
x
15
0.00 0.20
0.10
20
0.05 0.05
0.10
(a) Compute the marginal pmf of X.
x
12
Px(x)
Compute the marginal pmf of Y.
y
Pyly)
12
15
20
15
20
(b) What is the probability that the man's and the woman's dinner cost at most $15 each?
(c) Are X and Y independent? Justify your answer.
X and Y are independent because P(x, y) = Px(x) · Py(y).
X and Y are not independent because P(x, y) =Px(x) · Pyly).
X and Y are not independent because P(x, y) * Px(x) · Py(y).
X and Y are independent because P(x, y) * Px(x) · Py(y).
(d) What is the expected total cost, in dollars, of the dinner for the two people?
$
(e) Suppose that when a couple opens fortune cookies at the conclusion of the meal, they find the…
Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with λ = 1, (which is identical to a standard gamma distribution with α = 1), compute the following. (If necessary, round your answer to three decimal places.)
(a) the expected time between two successive arrivals
(b) the standard deviation of the time between successive arrivals
(c)
P(X ≤ 1)
(d)
P(2 ≤ X ≤ 4)
You may need to use the appropriate table in the Appendix of Tables
Chapter 8 Solutions
Elementary Statistics (13th Edition)
Ch. 8.1 - Vitamin C and Aspirin A bottle contains a label...Ch. 8.1 - Estimates and Hypothesis Tests Data Set 3 Body...Ch. 8.1 - Mean Height of Men A formal hypothesis test is to...Ch. 8.1 - Interpreting P-value The Ericsson method is one of...Ch. 8.1 - Identifying H0 and H1. In Exercises 58, do the...Ch. 8.1 - Identifying H0 and H1. In Exercises 58, do the...Ch. 8.1 - Identifying H0 and H1. In Exercises 58, do the...Ch. 8.1 - Identifying H0 and H1. In Exercises 58, do the...Ch. 8.1 - Conclusions. In Exercises 912, refer to the...Ch. 8.1 - Conclusions. In Exercises 912, refer to the...
Ch. 8.1 - Conclusions. In Exercises 912, refer to the...Ch. 8.1 - Conclusions. In Exercises 912, refer to the...Ch. 8.1 - Test Statistics. In Exercises 1316, refer to the...Ch. 8.1 - Test Statistics. In Exercises 1316, refer to the...Ch. 8.1 - Test Statistics. In Exercises 1316, refer to the...Ch. 8.1 - Test Statistics. In Exercises 1316, refer to the...Ch. 8.1 - P-Values. In Exercises 1720, do the following: a....Ch. 8.1 - P-Values. In Exercises 1720, do the following: a....Ch. 8.1 - P-Values. In Exercises 1720, do the following: a....Ch. 8.1 - P-Values. In Exercises 1720, do the following: a....Ch. 8.1 - Critical Values. In Exercises 2124, refer to the...Ch. 8.1 - Critical Values. In Exercises 2124, refer to the...Ch. 8.1 - Critical Values. In Exercises 2124, refer to the...Ch. 8.1 - Critical Values. In Exercises 2124, refer to the...Ch. 8.1 - Final Conclusions. In Exercises 2528, use a...Ch. 8.1 - Final Conclusions. In Exercises 2528, use a...Ch. 8.1 - Final Conclusions. In Exercises 2528, use a...Ch. 8.1 - Final Conclusions. In Exercises 2528, use a...Ch. 8.1 - Type I and Type II Errors. In Exercises 2932,...Ch. 8.1 - Type I and Type II Errors. In Exercises 2932,...Ch. 8.1 - Type I and Type II Errors. In Exercises 2932,...Ch. 8.1 - Type I and Type II Errors. In Exercises 2932,...Ch. 8.1 - Interpreting Power Chantix (varenicline) tablets...Ch. 8.1 - Calculating Power Consider a hypothesis test of...Ch. 8.1 - Finding Sample Size to Achieve Power Researchers...Ch. 8.2 - In Exercises 14, use these results from a USA...Ch. 8.2 - In Exercises 14, use these results from a USA...Ch. 8.2 - Prob. 3BSCCh. 8.2 - In Exercises 14, use these results from a USA...Ch. 8.2 - Using Technology. In Exercises 58, identify the...Ch. 8.2 - Using Technology. In Exercises 58, identify the...Ch. 8.2 - Using Technology. In Exercises 58, identify the...Ch. 8.2 - Using Technology. In Exercises 58, identify the...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Testing Claims About Proportions. In Exercises...Ch. 8.2 - Exact Method For each of the three different...Ch. 8.2 - Using Confidence Intervals to Test Hypotheses When...Ch. 8.2 - Power For a hypothesis test with a specified...Ch. 8.3 - Video Games: Checking Requirements Twelve...Ch. 8.3 - df If we are using the sample data from Exercise 1...Ch. 8.3 - t Test Exercise 2 refers to a t test. What is a t...Ch. 8.3 - Confidence Interval Assume that we will use the...Ch. 8.3 - Finding P-values. In Exercises 5-8, either use...Ch. 8.3 - Finding P-values. In Exercises 5-8, either use...Ch. 8.3 - Finding P-values. In Exercises 5-8, either use...Ch. 8.3 - Finding P-values. In Exercises 5-8, either use...Ch. 8.3 - Technology. In Exercises 9-12, test the given...Ch. 8.3 - Technology. In Exercises 9-12, test the given...Ch. 8.3 - Technology. In Exercises 9-12, test the given...Ch. 8.3 - Technology. In Exercises 9-12, test the given...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.3 - Large Data Sets from Appendix B. In Exercises...Ch. 8.3 - Large Data Sets from Appendix B. In Exercises...Ch. 8.3 - Large Data Sets from Appendix B. In Exercises...Ch. 8.3 - Large Data Sets from Appendix B. In Exercises...Ch. 8.3 - Hypothesis Test with Known How do the results...Ch. 8.3 - Hypothesis Test with Known How do the results...Ch. 8.3 - Finding Critical t Values When finding critical...Ch. 8.3 - Interpreting Power For the sample data in Example...Ch. 8.4 - Cans of Coke Data Set 26 Cola Weights and Volumes...Ch. 8.4 - Cans of Coke Use the data and the claim given in...Ch. 8.4 - Cans of Coke For the sample data from Exercise 1,...Ch. 8.4 - Cans of Coke: Confidence Interval If we use the...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Body Temperature Example 5 in Section 8-3 involved...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.4 - Large Data Sets from Appendix B. In Exercises 17...Ch. 8.4 - Large Data Sets from Appendix B. In Exercises 17...Ch. 8.4 - Finding Critical Values of 2 For large numbers of...Ch. 8.4 - Finding Critical Values of 2 Repeat Exercise 19...Ch. 8 - Distributions Using the methods of this chapter,...Ch. 8 - Tails Determine whether the given claim involves a...Ch. 8 - Instagram Poll In a Pew Research Center poll of...Ch. 8 - P-Value Find the P-value in a test of the claim...Ch. 8 - Conclusions True or false: In hypothesis testing,...Ch. 8 - Conclusions True or false: The conclusion of fail...Ch. 8 - Uncertainty True or false: If correct methods of...Ch. 8 - Chi-Square Test In a test of the claim that = 15...Ch. 8 - Robust Explain what is meant by the statements...Ch. 8 - Equivalent Methods Which of the following...Ch. 8 - True/False Characterize each of the following...Ch. 8 - Politics A county clerk in Essex County, New...Ch. 8 - Prob. 3RECh. 8 - Red Blood Cell Count A simple random sample of 40...Ch. 8 - Perception and Reality In a presidential election,...Ch. 8 - BMI for Miss America A claimed trend of thinner...Ch. 8 - BMI for Miss America Use the same BMI indexes...Ch. 8 - Type I Error and Type II Error a. In general, what...Ch. 8 - Lightning Deaths Listed below are the numbers of...Ch. 8 - Lightning Deaths Refer to the sample data in...Ch. 8 - Lightning Deaths Listed below are the numbers of...Ch. 8 - Lightning Deaths Listed below are the numbers of...Ch. 8 - Lightning Deaths The accompanying bar chart shows...Ch. 8 - Lightning Deaths The graph in Cumulative Review...Ch. 8 - Lightning Deaths The graph in Cumulative Review...Ch. 8 - Lightning Deaths Based on the results given in...Ch. 8 - Critical Thinking: Testing the Salk Vaccine The...
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