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). OA. Ho H1 H2 --- μ n X S No candy 11 30 18.33 1.48 Two candies H2 30 21.07 2.52 B. Ho H1 H2 H₁: 141 142 D. Ho H1 H2 H₁: H1 H2 H₁₁₂ The test statistic, t, is -5.13. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) 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. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. C. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. D. Fail to 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). -4.15 μ₁₂-1.33 (Round to two decimal places as needed.)

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my interval is incorrect

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).
OA. Ho H1 H2
---
μ
n
X
S
No candy
11
30
18.33 1.48
Two candies
H2
30
21.07 2.52
B. Ho H1 H2
H₁: 141 142
D. Ho H1 H2
H₁: H1 H2
H₁₁₂
The test statistic, t, is -5.13. (Round to two decimal places as needed.)
The P-value is 0.000. (Round to three decimal places as needed.)
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. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips.
C. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips.
D. Fail to 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).
-4.15 μ₁₂-1.33
(Round to two decimal places as needed.)
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). OA. Ho H1 H2 --- μ n X S No candy 11 30 18.33 1.48 Two candies H2 30 21.07 2.52 B. Ho H1 H2 H₁: 141 142 D. Ho H1 H2 H₁: H1 H2 H₁₁₂ The test statistic, t, is -5.13. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) 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. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. C. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. D. Fail to 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). -4.15 μ₁₂-1.33 (Round to two decimal places as needed.)
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