Question

Several companies--the most famous being Muzak--provide "background music solutions" to businesses in a variety of industries, including auto dealerships, salons and spas, restaurants, and clothing stores. In a recent study, researchers for a background music provider wanted to see what effect a song's tempo might have on alcohol sales (in dollars) at restaurants. One particular restaurant was observed on both Fridays and Saturdays for six weeks. For three weeks, fast music (given by "Fast" group in the table below) was played on Fridays and slow music ("Slow") was played on Saturdays, and for another three weeks the pattern was reversed. At the end of each night, researchers examined the bar charges on each check. Because a check could contain charges for multiple people, each observation in the study was called a "party." At the end of the study, bar charges for 1,200 parties had been collected. The means and standard deviations of alcohol sales (both in dollars) broken down by party are shown below.

Music Mean Standard Deviation n Slow (Group 1) 67.51 9.50 590

Fast (Group 2) 65.91 6.25 610

Researchers performed a hypothesis test at the 0.10 level of significance to determine whether mean alcohol sales differ at all according to music tempo, assuming the population standard deviations are not equal (Case 2).

The statement below summarizes the test. Select the words or symbols from the drop-down boxes that correctly complete the statement.

"The null hypothesis was H0: µ1 - µ2 0 vs. H1: µ1 - µ2 0. The test statistic was calculated to be . Because the test statistic, t is (<, >, or ≠ ) , we (reject/fail-to-reject) the null hypothesis. We (can/cannot) conclude that mean alcohol sales differ according to the tempo of the music played in the background.

Answer 1

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