Elementary Statistics: Picturing the World (6th Edition)
6th Edition
ISBN: 9780321911216
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Chapter 7, Problem 7.3.38RE
In Exercises 41 and 42, (a) identify the claim and state H0 and Ha, (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic t, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the population is
41. A fitness magazine advertises that the mean monthly cost of joining a health club is $25. You want to test this claim. You find that a random sample of 18 clubs has a mean monthly cost of $26.25 and a standard deviation of $3.23. At α = 0.10, do you have enough evidence to reject the advertisement’s claim?
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6.39
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2.31
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7.84
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2.87
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A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $949 and $1015, respectively. The population standard deviations are known to be $255 and $89, respectively. Conduct a hypothesis test at the 5% level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university.
1. State the distribution to use for the test. (Round your answers to two decimal places.)
X ~ ______ (________ , _________)
2. Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
In Exercises 5–20, conduct the hypothesis test and provide the test statistic and the P-value and/or critical value, and state the conclusion.
Bias in Clinical Trials? Researchers investigated the issue of race and equality of access to clinical trials. The following table shows the population distribution and the numbers of participants in clinical trials involving lung cancer (based on data from “Participation in Cancer Clinical Trials,” by Murthy, Krumholz, and Gross, Journal of the American Medical Association, Vol. 291, No. 22). Use a 0.01 significance level to test the claim that the distribution of clinical trial participants fits well with the population distribution. Is there a race/ethnic group that appears to be very underrepresented?
Chapter 7 Solutions
Elementary Statistics: Picturing the World (6th Edition)
Ch. 7.1 - Prob. 1TYCh. 7.1 - Prob. 2TYCh. 7.1 - Prob. 3TYCh. 7.1 - Prob. 4TYCh. 7.1 - Prob. 5TYCh. 7.1 - What are the two types of hypotheses used in a...Ch. 7.1 - Describe the two types of errors possible in a...Ch. 7.1 - Prob. 3ECh. 7.1 - Does failing to reject the null hypothesis mean...Ch. 7.1 - True or False? In Exercises 510, determine whether...
Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - True or False? In Exercises 510, determine whether...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Stating Hypotheses In Exercises 1116, the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Graphical Analysis In Exercises 1720, match the...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Identifying a Test In Exercises 2124, determine...Ch. 7.1 - Prob. 25ECh. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Stating the Null and Alternative Hypotheses In...Ch. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Identifying Type I and Type II Errors In Exercises...Ch. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Prob. 44ECh. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Interpreting a Decision In Exercises 4348,...Ch. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Writing Hypotheses: Medicine A medical research...Ch. 7.1 - Writing Hypotheses: Transportation Network Company...Ch. 7.1 - Prob. 51ECh. 7.1 - Writing Hypotheses: Internet Provider An Internet...Ch. 7.1 - Prob. 53ECh. 7.1 - Getting at the Concept Explain why a level of...Ch. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.1 - Graphical Analysis In Exercises 5760, you are...Ch. 7.2 - Prob. 1TYCh. 7.2 - Prob. 2TYCh. 7.2 - Prob. 3TYCh. 7.2 - Prob. 4TYCh. 7.2 - Prob. 5TYCh. 7.2 - Prob. 6TYCh. 7.2 - Prob. 7TYCh. 7.2 - Prob. 8TYCh. 7.2 - Prob. 9TYCh. 7.2 - Prob. 10TYCh. 7.2 - Explain the difference between the z-test for ...Ch. 7.2 - In hypothesis testing, does using the critical...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Interpreting a P-Value In Exercises 38, the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Finding a P-Value In Exercises 914, find the...Ch. 7.2 - Graphical Analysis In Exercises 15 and 16, match...Ch. 7.2 - Graphical Analysis In Exercises 15 and 16, match...Ch. 7.2 - In Exercises 17 and 18, use the TI-84 Plus...Ch. 7.2 - In Exercises 17 and 18, use the TI-84 Plus...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Finding Critical Values and Rejection Regions In...Ch. 7.2 - Prob. 24ECh. 7.2 - Graphical Analysis In Exercises 25 and 26, state...Ch. 7.2 - Graphical Analysis In Exercises 25 and 26, state...Ch. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - In Exercises 2730, test the claim about the...Ch. 7.2 - Prob. 31ECh. 7.2 - Hypothesis Testing Using a P-Value In Exercises...Ch. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Hypothesis Testing Using Rejection Region(s) In...Ch. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Writing When P , does the standardized test...Ch. 7.2 - Writing In a right-tailed test where P , does the...Ch. 7.3 - Prob. 1TYCh. 7.3 - Prob. 2TYCh. 7.3 - Prob. 3TYCh. 7.3 - Prob. 4TYCh. 7.3 - Prob. 5TYCh. 7.3 - Prob. 6TYCh. 7.3 - Explain how to find critical values for a...Ch. 7.3 - Explain how to use a t-test to test a hypothesized...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - In Exercises 38, find the critical value(s) and...Ch. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - In Exercises 1318, test the claim about the...Ch. 7.3 - Hypothesis Testing Using Rejection Regions In...Ch. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Using a P-Value with a t-Test In Exercises 2730,...Ch. 7.3 - Using a P-Value with a t-Test In Exercises 2730,...Ch. 7.3 - Deciding on a Distribution In Exercises 31 and 32,...Ch. 7.3 - Prob. 30ECh. 7.3 - Writing You are testing a claim and incorrectly...Ch. 7.3 - Prob. 1ACh. 7.3 - Prob. 2ACh. 7.3 - Prob. 3ACh. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - Human Body Temperature: Whats Normal? In an...Ch. 7.3 - In an article in the Journal of Statistics...Ch. 7.4 - Prob. 1TYCh. 7.4 - Prob. 2TYCh. 7.4 - Explain how to determine whether a normal...Ch. 7.4 - Explain how to test a population proportion p.Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - In Exercises 36, determine whether a normal...Ch. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Prob. 14ECh. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - The alternative formula is derived from the...Ch. 7.4 - Prob. 1ACh. 7.4 - Prob. 2ACh. 7.5 - Prob. 1TYCh. 7.5 - Prob. 2TYCh. 7.5 - Prob. 3TYCh. 7.5 - Prob. 4TYCh. 7.5 - Prob. 5TYCh. 7.5 - Prob. 6TYCh. 7.5 - Explain how to find critical values in a...Ch. 7.5 - Can a critical value for the chi-square test be...Ch. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - In Exercises 512, find the critical value(s) and...Ch. 7.5 - Graphical Analysis In Exercises 13 and 14, state...Ch. 7.5 - Prob. 12ECh. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - Prob. 14ECh. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - In Exercises 1522, test the claim about the...Ch. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Hypothesis Testing Using Rejection Regions In...Ch. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7 - Prob. 1UACh. 7 - Prob. 2UACh. 7 - Prob. 3UACh. 7 - Prob. 4UACh. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - Prob. 7.1.3RECh. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - Prob. 7.1.5RECh. 7 - In Exercises 16, the statement represents a claim....Ch. 7 - Prob. 7.1.7RECh. 7 - Prob. 7.1.8RECh. 7 - Prob. 7.1.9RECh. 7 - In Exercises 710, (a) state the null and...Ch. 7 - In Exercises 11 and 12, find the P-value for the...Ch. 7 - Prob. 7.2.12RECh. 7 - In Exercises 25 and 26, (a) identify the claim and...Ch. 7 - In Exercises 25 and 26, (a) identify the claim and...Ch. 7 - Prob. 7.2.15RECh. 7 - In Exercises 1316, find the critical value(s) and...Ch. 7 - Prob. 7.2.17RECh. 7 - Prob. 7.2.18RECh. 7 - Prob. 7.2.19RECh. 7 - In Exercises 1720, state whether the standardized...Ch. 7 - In Exercises 1720, state whether the standardized...Ch. 7 - In Exercises 1720, state whether the standardized...Ch. 7 - In Exercises 2124, test the claim about the...Ch. 7 - In Exercises 2124, test the claim about the...Ch. 7 - In Exercises 2124, test the claim about the...Ch. 7 - Prob. 7.2.26RECh. 7 - Prob. 7.2.27RECh. 7 - Prob. 7.2.28RECh. 7 - Prob. 7.3.29RECh. 7 - In Exercises 2934, find the critical value(s) and...Ch. 7 - Prob. 7.3.31RECh. 7 - In Exercises 2934, find the critical value(s) and...Ch. 7 - Prob. 7.3.33RECh. 7 - Prob. 7.3.34RECh. 7 - In Exercises 3540, test the claim about the...Ch. 7 - In Exercises 3540, test the claim about the...Ch. 7 - In Exercises 41 and 42, (a) identify the claim and...Ch. 7 - In Exercises 41 and 42, (a) identify the claim and...Ch. 7 - Prob. 7.3.39RECh. 7 - Prob. 7.3.40RECh. 7 - Prob. 7.4.41RECh. 7 - Prob. 7.4.42RECh. 7 - In Exercises 4548, determine whether a normal...Ch. 7 - In Exercises 4548, determine whether a normal...Ch. 7 - Prob. 7.4.45RECh. 7 - Prob. 7.4.46RECh. 7 - Prob. 7.5.47RECh. 7 - Prob. 7.5.48RECh. 7 - Prob. 7.5.49RECh. 7 - Prob. 7.5.50RECh. 7 - Prob. 7.5.51RECh. 7 - Prob. 7.5.52RECh. 7 - Prob. 7.5.53RECh. 7 - In Exercises 5558, test the claim about the...Ch. 7 - Prob. 7.5.55RECh. 7 - Prob. 7.5.56RECh. 7 - Prob. 7.5.57RECh. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Prob. 2CQCh. 7 - Prob. 3CQCh. 7 - Prob. 4CQCh. 7 - Prob. 5CQCh. 7 - Prob. 6CQCh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Take this quiz as you would take a quiz in class....Ch. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 1RSRDCh. 7 - Prob. 2RSRDCh. 7 - Prob. 3RSRDCh. 7 - Prob. 4RSRDCh. 7 - EXERCISES 1. 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- A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $945 and $1015, respectively. The population standard deviations are known to be $257 and $89, respectively. Conduct a hypothesis test at the 5% level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university.NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part C: In words, state what your random variable Xc − Xu represents. Choose one below: Xc − Xu represent the difference in the average cost of textbooks at four year…arrow_forwardA group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $945 and $1015, respectively. The population standard deviations are known to be $257 and $89, respectively. Conduct a hypothesis test at the 5% level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part F: What is the p-value? (round your answer to four decimal places) Part I: Explain how you determined which distribution to use. Choose one below. The standard…arrow_forwardA group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $949 and $1014, respectively. The population standard deviations are known to be $252 and $87, respectively. Conduct a hypothesis test at the 5% significance level to determine if the means are statistically the same. Let subscript c = community college and u = four-year university. State the distribution to use for the test. (Round your answers to two decimal places.) X ~ What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) = What is the p-value? (Round your answer to four decimal places.) Indicate the correct decision…arrow_forward
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