A study was designed to find out it, on average, women spend more time listening to music per day, compared to men. For

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A Study Was Designed To Find Out It On Average Women Spend More Time Listening To Music Per Day Compared To Men For 1 (36.36 KiB) Viewed 80 times

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A study was designed to find out it, 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 10 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 1.89 104 Sample variance 4242 1 508 1. Use an appropriato test to determine whether there is evidence triat, on average, women spend more time listening to music per day, compared to main (a) Assurning that fe is the population mean amount of tiene spent listening to music ser day by women and fg is the population mean amount of time spent listening to music per day by men choose the null hypothesis Ho and the alternative hypothesis H Но Он дуу OH>2 O HICH 12 Hj Opm ORICA O2

(b) Enter the value of the test statistic for this test (to three decimal places) (c) Choose the distribution from which we obtain critical values for this test standard normal distribution O t-distribution with 21 degrees of freedom t-distribution with 20 degrees of freedom O t-distribution with 19 degrees of freedom t-distribution with 10 degrees of freedom OF distribution with (10,9) degrees of freedom OF-distribution with (11.10) degrees of freedom (d) Choose a correct statement from the following options We cannot reject Ho at the 10% significance level We can reject Ho at the 10% significance level but cannot reject Ho at the 5% significance level We can reject Ho at the 5% significance level but cannot reject Hy at the 1% significance level We can reject Ho at the 1% significance level but cannot reject Ho at the 0.1% significance level We can reject Hy at the 0.1% significance level.

the amount of time spent listening to music (e) Choose correct statements to give a practical interpretation of your result There is (1) to suggest that, on average the amount of time spent listening to music per clay by women (2) per day by men For (1) no evidence some evidence, but weak evidence strong evidence very strong evidenica For (2) is more than Ir than Os different from the same on 2. Perform an appropriate test to determine whether the population variances of time spent listening to music for women and men are equal (a) Enter the value of the foot statistic for this best to the decimal places hotel Hotel choose the lowest cance level at wouch you can react Hy with respect to avantables