Math Problem Statement
Question content area top left Part 1 An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. 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. Complete parts (a) and (b). . . . Question content area top right Part 1 mu n x overbar s
No candy mu 1 37 18.33 1.57 Two candies mu 2 37 21.15 2.31 Question content area bottom Part 1 a. Use a 0.05 significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? A. Upper H 0: mu 1equalsmu 2 Upper H 1: mu 1not equalsmu 2 B. Upper H 0: mu 1equalsmu 2 Upper H 1: mu 1greater thanmu 2 C. Upper H 0: mu 1equalsmu 2 Upper H 1: mu 1less thanmu 2 Your answer is correct.D. Upper H 0: mu 1not equalsmu 2 Upper H 1: mu 1less thanmu 2 Part 2 The test statistic, t, is negative 6.13. (Round to two decimal places as needed.) Part 3 The P-value is 0. (Round to three decimal places as needed.) Part 4 State the conclusion for the test. A. Reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. B. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. Your answer is correct.C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. D. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. Part 5 b. Construct the confidence interval suitable for testing the claim in part (a). enter your response hereless thanmu 1 minus mu 2less than enter your response here (Round to two decimal places as needed.)
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Hypothesis Testing
Confidence Intervals
Formulas
t = (x̄1 - x̄2) / √(s1²/n1 + s2²/n2)
CI = (x̄1 - x̄2) ± t_(α/2) * SE
Theorems
Central Limit Theorem
t-Test for Independent Samples
Suitable Grade Level
Grades 11-12
Related Recommendation
Constructing a Confidence Interval for Mean Tips in an Independent Sample t-test
Hypothesis Testing for Customer Satisfaction: Probability and Statistical Analysis
Hypothesis Testing: Determining Changes in Mean Number of Diners with Free Dessert Offer
Hypothesis Testing for Mean Number of Diners with Free Dessert Offer
Hypothesis Testing with Customer Satisfaction Surveys: Binomial Probability Approach