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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 inuence 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 slowpaced 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 mus it Sample mean $45.90 $39.25 Sample standard deviation $5.60 $5.20 5a mple size 23 19 Based on this information, perform a hypothesis test using a 5% level of significance to determine if the ave rage bill per person when slow music was played exceeded by more than $4 the average bill per person when fa st music was played. Show all the necessary steps to perform the te st