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A survey asks Instagram users their age group and daily usage time (in minutes). The following table shows the result. Age 20-29 Age 30-39 50

A survey asks Instagram users their age group and daily usage time (in minutes). The following table shows the result.

Age 20-29Age 30-39
5011060604050
609060303030
405040205060
7040100504020
4012050103030
5030120502030
6010060701060
909050107050
106060302040
205040303010

Use Excel to do the following:

  1. For each sample, find (i) sample mean, (ii) sample variance.

Age group 20-29: sample mean = 62.33, sample variance = 797.816 ???

Age group 30-39: sample mean = 36.00, sample variance = 314.483???

  1. Assume that the population variances are equal. At the ? = 0.1 level of significance, use the p-value approach to determine whether there is evidence that the population mean for the age group 20-29 is higher than that of the age group 30-39.

P-value (one-tailed = 3.0441 > ? (0.1), so there is evidence that the mean waiting time for Age group 20-29 is more than Age group 30-39.

  1. Assume that the population variances are equal. At the ? = 0.1 level of significance, use the critical value approach to determine whether there is evidence that the population mean for the age group 20-29 is higher than that of the age group 30-39.

4.325 > 1.2963 therefore there is evidence that the population mean for the age group 20-29 is higher than that of the age group 30-39.

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