Question

Suppose the manager of the Wooden Horse restaurant would like to see if the type of music played in the restaurant affects the average bill incurred per person. The theory is that slower-paced music will influence patrons to stay longer and spend more compared with faster-paced music. The following table shows the average bill per person during evenings when the music was fast-paced versus slow-paced along with sample size and standard deviations. Assume that the population variances for the bill incurred are equal and the populations are normally distributed.

	Slow music	Fast music
Sample mean	$45.90	$39.25
Sample standard deviation	$5.60	$5.20
Sample size	23	19

Based on this information, perform a hypothesis test using a 5% level of significance to determine if the average bill per person when slow music was played exceeded by more than $4 the average bill per person when fast music was played. Show all the necessary steps to perform the test.

Answer 1