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). μ n x S No candy H₁ 24 18.74 1.52 Two candies H2 24 21.03 2.42 What are the null and alternative hypotheses? OA. Ho H1 H2 H₁ H1 H2 OC. Ho: H₁₂ H₁: H1 H2 The test statistic, t, is 3.93. (Round to two decimal places as needed.) The P-value is 0.001. (Round to three decimal places as needed.) State the conclusion for the test. B. Ho: H1 H2 H₁: H1 H2 OD. Ho: H1 H2 H₁₁₂ OA. Fail to 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. OC. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. OD. Reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. b. Construct the confidence interval suitable for testing the claim in part (a).
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). μ n x S No candy H₁ 24 18.74 1.52 Two candies H2 24 21.03 2.42 What are the null and alternative hypotheses? OA. Ho H1 H2 H₁ H1 H2 OC. Ho: H₁₂ H₁: H1 H2 The test statistic, t, is 3.93. (Round to two decimal places as needed.) The P-value is 0.001. (Round to three decimal places as needed.) State the conclusion for the test. B. Ho: H1 H2 H₁: H1 H2 OD. Ho: H1 H2 H₁₁₂ OA. Fail to 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. OC. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. OD. Reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. b. Construct the confidence interval suitable for testing the claim in part (a).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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).
μ
n
x
S
No candy
H₁
24
18.74 1.52
Two candies
H2
24
21.03 2.42
What are the null and alternative hypotheses?
OA. Ho H1 H2
H₁ H1 H2
OC. Ho: H₁₂
H₁: H1 H2
The test statistic, t, is 3.93. (Round to two decimal places as needed.)
The P-value is 0.001. (Round to three decimal places as needed.)
State the conclusion for the test.
B. Ho: H1 H2
H₁: H1 H2
OD. Ho: H1 H2
H₁₁₂
OA. Fail to 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.
OC. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips.
OD. Reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips.
b. Construct the confidence interval suitable for testing the claim in part (a).
<H1 H2
(Round to two decimal places as needed.)
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