Question

When the background music tempo was slow, the mean amount of bar purchases for a sample of 19 restaurant patrons was $30.48 with a standard deviation of $15.10. When the background music tempo was fast, the mean amount of bar purchases for a sample of 15 patrons in the same restaurant was $21.00 with a standard deviation of $9.90. Assuming equal variances, at ? = 0.10, is the true mean higher when the music is slow? (a-1) Choose the appropriate hypotheses. a. H0: ?1 ? ?2 ? 0 vs. H1: ?1 ? ?2 > 0. Reject H0 if t_calc > 1.309 b. H0: ?1 ? ?2 ? 0 vs. H1: ?1 ? ?2 > 0. Reject H0 if t_calc < 1.309 c. H0: ?1 ? ?2 ? 0 vs. H1: ?1 ? ?2 < 0. Reject H0 if t_calc < ?1.309 d. H0: ?1 ? ?2 ? 0 vs. H1: ?1 ? ?2 < 0. Reject H0 if t_calc > ?1.309 (a-2) Calculate the t_calc. (Round your answer to 3 decimal places.) t_calc (b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.) p-value

          When the background music tempo was slow, the mean amount of bar purchases for a sample of 19 restaurant patrons was $30.48 with a standard deviation of $15.10. When the background music tempo was fast, the mean amount of bar purchases for a sample of 15 patrons in the same restaurant was $21.00 with a standard deviation of $9.90.

Assuming equal variances, at ? = 0.10, is the true mean higher when the music is slow?

(a-1) Choose the appropriate hypotheses.

a. H0: ?1 ? ?2 ? 0 vs. H1: ?1 ? ?2 > 0. Reject H0 if t_calc > 1.309
b. H0: ?1 ? ?2 ? 0 vs. H1: ?1 ? ?2 > 0. Reject H0 if t_calc < 1.309
c. H0: ?1 ? ?2 ? 0 vs. H1: ?1 ? ?2 < 0. Reject H0 if t_calc < ?1.309
d. H0: ?1 ? ?2 ? 0 vs. H1: ?1 ? ?2 < 0. Reject H0 if t_calc > ?1.309

(a-2) Calculate the t_calc. (Round your answer to 3 decimal places.)

t_calc

(b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.)

p-value

When the background music tempo was slow, the mean amount of bar purchases for a sample of 19 restaurant patrons was 30.48 with a standard deviation of15.10. When the background music tempo was fast, the mean amount of bar purchases for a sample of 15 patrons in the same restaurant was 21.00 with a standard deviation of9.90.

Assuming equal variances, at ? = 0.10, is the true mean higher when the music is slow?

(a-1) Choose the appropriate hypotheses.

a. H0: ?1 ? ?2 ? 0 vs. H1: ?1 ? ?2 > 0. Reject H0 if tcalc > 1.309
b. H0: ?1 ? ?2 ? 0 vs. H1: ?1 ? ?2 > 0. Reject H0 if tcalc < 1.309
c. H0: ?1 ? ?2 ? 0 vs. H1: ?1 ? ?2 < 0. Reject H0 if tcalc < ?1.309
d. H0: ?1 ? ?2 ? 0 vs. H1: ?1 ? ?2 < 0. Reject H0 if tcalc > ?1.309

(a-2) Calculate the tcalc. (Round your answer to 3 decimal places.)

tcalc

(b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.)

p-value

Added by George W.

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