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). -C μ n x S D No candy Two candies H₂ 39 21.01 FF 39 18.83 1.49 2.45 What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁₁₂ OC. Ho: HP2 H₁: H1 H2 The test statistic, t, is -4.75. (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. B. H₂ =12 H₁₁₂ OD. Ho: H1 H2 H₁: H1 H2 A. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. OB. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. C. 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). Окна-нако (Round to two decimal places as needed.)
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). -C μ n x S D No candy Two candies H₂ 39 21.01 FF 39 18.83 1.49 2.45 What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁₁₂ OC. Ho: HP2 H₁: H1 H2 The test statistic, t, is -4.75. (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. B. H₂ =12 H₁₁₂ OD. Ho: H1 H2 H₁: H1 H2 A. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips. OB. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips. C. 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). Окна-нако (Round to two decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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).
-C
μ
n
x
S
D
No candy
Two candies H₂ 39 21.01
FF
39 18.83
1.49
2.45
What are the null and alternative hypotheses?
OA. Ho: H1 H2
H₁₁₂
OC. Ho: HP2
H₁: H1 H2
The test statistic, t, is -4.75. (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.
B. H₂ =12
H₁₁₂
OD. Ho: H1 H2
H₁: H1 H2
A. Reject the null hypothesis. There is sufficient evidence to support the claim that giving candy does result in greater tips.
OB. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that giving candy does result in greater tips.
C. 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).
Окна-нако
(Round to two decimal places as needed.)
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