a) An experiment was conducted to examine the relationship between the weight gain of chickens and the diets supplement.
Calculate the standard deviation of the weight gain.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 14.7 | 17.8 | 19.6 | 18.4 | 20.5 | 21.1 | 17.2 | 18.7 | 20.2 | 16.0 | 17.8 | 19.4 |
b) In a certain higher institution of learning, a random sample of 395 staff were surveyed and each person was asked to report the highest education level they obtained. The data that resulted from the survey is summarized in the following table:
| Sex | High School | Bachelors | Masters | Ph.d. | Total |
|---|---|---|---|---|---|
| Female | 60 | 54 | 46 | 41 | 201 |
| Male | 40 | 44 | 53 | 57 | 194 |
| Total | 100 | 98 | 99 | 98 | 395 |
Using test of statistic, does gender have any effect on level of educational attainment in that institution? Use 5% level of significance for the test statistic.
