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). State the conclusion for the test. *** No candy Two candies " n H₁ 24 H₂ 24 x 18.43 20.57 1.55 2.33 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. b. Construct the confidence interval suitable for testing the claim in part (a). 1₁-1₂ [ (Round to two decimal places as needed.). 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.

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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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).
State the conclusion for the test.
ID
No candy
Two candies
H
FFF
H₁
H₂
b. Construct the confidence interval suitable for testing the claim in part (a).
14-₂0
<
(Round to two decimal places as needed.)
n
x
S
24
18.43 1.55
24 20.57 2.33
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.
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). State the conclusion for the test. ID No candy Two candies H FFF H₁ H₂ b. Construct the confidence interval suitable for testing the claim in part (a). 14-₂0 < (Round to two decimal places as needed.) n x S 24 18.43 1.55 24 20.57 2.33 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.
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