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h the background music tempo was slow, the mean amount of bar purchases for a sample of 20 restaurant patrons was $30.41 a standard deviation of $15.90. When the background music tempo was fast, the mean amount of bar purchases for a sample of trons in the same restaurant was $21.32 with a standard deviation of $9.90. ming equal variances, at a = 0.01, is the true mean higher when the music is slow? Let sample 1 represent the slow tempo and le 2 represent the fast tempo. Choose the appropriate hypotheses. H -230 vs. H2: Hz - Pz> 0. Reject Hg if tcale > 2.445 H -H2s0 vs. Hy: Hi – P2> 0. Reject Hg if tcale < 2.445 - H2 = 0 vs. Hy: Hz- H2< 0. Reject Hg if teale <-2.445 M1 - Hz =O vs. H: Pi – P2< 0. Reject Hg if teale> -2.445 Oa Ob Oc Od

h the background music tempo was slow, the mean amount of bar purchases for a sample of 20 restaurant patrons was $30.41 a standard deviation of $15.90. When the background music tempo was fast, the mean amount of bar purchases for a sample of trons in the same restaurant was $21.32 with a standard deviation of $9.90. ming equal variances, at a = 0.01, is the true mean higher when the music is slow? Let sample 1 represent the slow tempo and le 2 represent the fast tempo. Choose the appropriate hypotheses. H -230 vs. H2: Hz - Pz> 0. Reject Hg if tcale > 2.445 H -H2s0 vs. Hy: Hi – P2> 0. Reject Hg if tcale < 2.445 - H2 = 0 vs. Hy: Hz- H2< 0. Reject Hg if teale <-2.445 M1 - Hz =O vs. H: Pi – P2< 0. Reject Hg if teale> -2.445 Oa Ob Oc Od

MATLAB: An Introduction with Applications
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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When the background music tempo was slow, the mean amount of bar purchases for a sample of 20 restaurant patrons was $30.41 with a standard deviation of $15.90. When the background music tempo was fast, the mean amount of bar purchases for a sample of 15 patrons in the same restaurant was $21.32 with a standard deviation of $9.90. Assuming equal variances, at a = 0.01, is the true mean higher when the music is slow? Let sample 1 represent the slow tempo and sample 2 represent the fast tempo. (a-1) Choose the appropriate hypotheses. a. Hg: V1- H2s O vs. H: H, - U2 > 0. Reject Hg if teale > 2.445 b. Hg: H1 - H2 s O vs. H: H1- H2 > 0. Reject Ha if teale <2.445 c. Hg: P1- 2 2 0 vs. H: H - P2< 0. Reject Ha if teale <-2.445 d. Hg: P1 - U2 2 0 vs. H: P1- P2 < O. Reject Hg if tealc>-2445 Oa Ob Oc Od
Transcribed Image Text:When the background music tempo was slow, the mean amount of bar purchases for a sample of 20 restaurant patrons was $30.41 with a standard deviation of $15.90. When the background music tempo was fast, the mean amount of bar purchases for a sample of 15 patrons in the same restaurant was $21.32 with a standard deviation of $9.90. Assuming equal variances, at a = 0.01, is the true mean higher when the music is slow? Let sample 1 represent the slow tempo and sample 2 represent the fast tempo. (a-1) Choose the appropriate hypotheses. a. Hg: V1- H2s O vs. H: H, - U2 > 0. Reject Hg if teale > 2.445 b. Hg: H1 - H2 s O vs. H: H1- H2 > 0. Reject Ha if teale <2.445 c. Hg: P1- 2 2 0 vs. H: H - P2< 0. Reject Ha if teale <-2.445 d. Hg: P1 - U2 2 0 vs. H: P1- P2 < O. Reject Hg if tealc>-2445 Oa Ob Oc Od
(a-2) Calculate the talc- (Round your answer to 3 decimal places.) tcale (a-3) Based on the t-value determined, choose the correct decision. O Fail to reject the null hypothesis O Reject the null hypothesis (a-4) Is the true mean higher when the music is slow? O Yes O No (b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.) p-value
Transcribed Image Text:(a-2) Calculate the talc- (Round your answer to 3 decimal places.) tcale (a-3) Based on the t-value determined, choose the correct decision. O Fail to reject the null hypothesis O Reject the null hypothesis (a-4) Is the true mean higher when the music is slow? O Yes O No (b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.) p-value
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