Complete this question by hand, using a calculator and tables available on Canvas. A study was designed to find out if,
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Complete this question by hand, using a calculator and tables available on Canvas. A study was designed to find out if,
question by hand, using a calculator and tables available on Canvas. A study was designed to find out if, on average, women spend more time listening to music per day, compared to men. For a random sample of 11 women and a random sample of 7 men, the length of time they spent listening to music per day was recorded (in hours). The summary statistics are below. Assume that the daily amount of time spent listening to music is normally distributed for both women and men. Women Men Sample mean 3.36 2.12 Sample variance 7.458 1.994 1. Use an appropriate t-test to determine whether there is evidence that, on average, women spend more time listening to music per day, compared to men. (a) Assuming that Mi is the population mean amount of time spent listening to music per day by women and 2 is the population mean amount of time spent listening to music per day by men, choose the null hypothesis Ho and the alternative hypothesis H1 HO од1 > 12 Mi < M 2 o M1 FM2 o H1 = 42 H1 CH1 7 H2 H1 H2 си1 <p2 M1 = 42 (b) Enter the value of the test statistic for this test (to three decimal places):
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