The university finance department wants to know if the average age of students at their university...
The university finance department wants to know if the average age of students at their university is greater than the average for other universities. A random sample of student records is taken from the own university (population 1) and a random selection of student ages from other three universities are taken (population 2). A significance level of 0.05 is chosen.
The null and alternative hypotheses are:
?0H_0:
??H_a:
The samples are selected, and the results are:
?1 = 28,7 ????? ?1 = 5.1 ????? ?1 = 125
?2 = 24,9 ????? ?2 = 3.5 ????? ?2 = 250
| Sample 1 | Sample 2 | |
| n (size) | 125 | 250 |
| x_bar | 28,7 | 24,9 |
| stdev | 5,1 | 3,5 |
| variance | 26,01 | 12,25 |
| st.err | ||
| z | ||
| alpha | 0,05 | |
| zα | ||
| p-value | ||
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