Question
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 20-29 | Age 30-39 | ||||
50 | 110 | 60 | 60 | 40 | 50 |
60 | 90 | 60 | 30 | 30 | 30 |
40 | 50 | 40 | 20 | 50 | 60 |
70 | 40 | 100 | 50 | 40 | 20 |
40 | 120 | 50 | 10 | 30 | 30 |
50 | 30 | 120 | 50 | 20 | 30 |
60 | 100 | 60 | 70 | 10 | 60 |
90 | 90 | 50 | 10 | 70 | 50 |
10 | 60 | 60 | 30 | 20 | 40 |
20 | 50 | 40 | 30 | 30 | 10 |
Use Excel to do the following:
- 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???
- 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.
- 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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