The university finance department wants to know if the averageage of students at their university is greater than the average forother universities. A random sample of student records is takenfrom the own university (population 1) and a random selection ofstudent ages from other three universities are taken (population2). A significance level of 0.05 is chosen.
The null and alternative hypotheses are:
?0:
??:
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 | | |
