When the background music tempo was slow, the mean amount of bar purchases for a sample of 19 restaurant patrons was $30.44 with a standard deviation of $15.90. When the background music tempo was fast, the mean amount of bar purchases for a sample of 14 patrons in the same restaurant was $21.17 with a standard deviation of $9.10.

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

(a-1)Choose the appropriate hypotheses.

1. H₀:₁-₂ 0 vs.H₁:₁-₂> 0. RejectH₀ift_calc> 1.309
2. H₀:₁-₂ 0 vs.H₁:₁-₂> 0. RejectH₀ift_calc< 1.309
3. H₀:₁-₂ 0 vs.H₁:₁-₂< 0. RejectH₀ift_calc< -1.309
4. H₀:₁-₂ 0 vs.H₁:₁-₂< 0. RejectH₀ift_calc> -1.309

a

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

t_calc

(a-3)Based on thet-value determined, choose the correct decision.

multiple choice 2

• Reject the null hypothesis
• Fail to reject the null hypothesis

(a-4)Is the true mean higher when the music is slow?

No

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

p-value