Essentials of Statistics (6th Edition)
Essentials of Statistics (6th Edition)
6th Edition
ISBN: 9780134685779
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 9.2, Problem 13BSC

In Exercises 5–20, assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. (Note: Answers in Appendix D include technology answers based on Formula 9-1 along with “Table” answers based on Table A-3 with df equal to the smaller of n1 − 1 and n2 − 1.)

13. Are Male Professors and Female Professors Rated Differently?

a. Use a 0.05 significance level to test the claim that two samples of course evaluation scores are from populations with the same mean. Use these summary statistics: Female professors: n = 40, x ¯ = 3.79, s = 0.51; male professors: n = 53, x ¯ = 4.01, s = 0.53. (Using the raw data in Data Set 17 “Course Evaluations” will yield different results.)

b. Using the summary statistics given in part (a), construct a 95% confidence interval estimate of the difference between the mean course evaluation score for female professors and male professors.

c. Example 1 used similar sample data with samples of size 12 and 15, and Example 1 led to the conclusion that there is not sufficient evidence to warrant rejection of the null hypothesis. Do the larger samples in this exercise affect the results much?

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Chapter 9 Solutions

Essentials of Statistics (6th Edition)

Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Prob. 16BSCCh. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Testing Claims About Proportions. In Exercises...Ch. 9.1 - Prob. 23BBCh. 9.1 - Yawning and Fishers Exact Test In one segment of...Ch. 9.1 - Overlap of Confidence Intervals In the article On...Ch. 9.1 - Equivalence of Hypothesis Test and Confidence...Ch. 9.2 - Independent and Dependent Samples Which of the...Ch. 9.2 - Confidence Interval for Hemoglobin Large samples...Ch. 9.2 - Hypothesis Tests and Confidence Intervals for...Ch. 9.2 - Degrees of Freedom For Example 1 on page 431, we...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - In Exercises 520, assume that the two samples are...Ch. 9.2 - Pooling Repeat Exercise 12 IQ and Lead by assuming...Ch. 9.2 - Degrees of Freedom In Exercise 20 Blanking Out on...Ch. 9.2 - No Variation in a Sample An experiment was...Ch. 9.3 - True? For the methods of this section, which of...Ch. 9.3 - Notation Listed below are body temperatures from...Ch. 9.3 - Units of Measure If the values listed in Exercise...Ch. 9.3 - Degrees of Freedom If we use the sample data in...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - Prob. 11BSCCh. 9.3 - Prob. 12BSCCh. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9.3 - In Exercises 516, use the listed paired sample...Ch. 9 - In Exercises 15, use the following survey results:...Ch. 9 - In Exercises 1-5, use the following survey...Ch. 9 - In Exercises 1-5, use the following survey...Ch. 9 - In Exercises 1-5, use the following survey...Ch. 9 - In Exercises 7-5, use the following survey...Ch. 9 - True? Determine whether the following statement is...Ch. 9 - True? When we collect random samples to test the...Ch. 9 - Dependent or Independent? Listed below are...Ch. 9 - Hypotheses Identify the null and alternative...Ch. 9 - Test Statistics Identify the test statistic that...Ch. 9 - Denomination Effect In the article The...Ch. 9 - Denomination Effect Construct the confidence...Ch. 9 - Heights Listed below are heights (cm) randomly...Ch. 9 - Heights Use a 0.01 significance level with the...Ch. 9 - Before /After Treatment Results Captopril is a...Ch. 9 - Eyewitness Accuracy of Police Does stress affect...Ch. 9 - Are Flights Cheaper When Scheduled Earlier? Listed...Ch. 9 - Family Heights. In Exercises 15, use the following...Ch. 9 - Scatterplot Construct a scatterplot of the...Ch. 9 - Family Heights. In Exercises 1-5, use the...Ch. 9 - Family Heights. In Exercises 1-5, use the...Ch. 9 - Assessing Normality Interpret the normal quantile...Ch. 9 - Braking Reaction Times: Histogram Listed below are...Ch. 9 - Braking Reaction Times: Normal? The accompanying...Ch. 9 - Braking Reaction Times: Boxplots Use the same data...Ch. 9 - In Exercises 5-20, assume that the two samples are...Ch. 9 - Braking Reaction Times: Confidence Intervals a....Ch. 9 - FROM DATA TO DECISION Critical Thinking: Did the...Ch. 9 - Critical Thinking: Did the NFL Rule Change Have...Ch. 9 - Critical Thinking: Did the NFL Rule Change Have...
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