A Psychology student wanted to study whether there is a difference in stress levels between gender. She devised a survey to measure stress. There were 20 questions with a total score of 100. She randomly selected 30 male and 30 female students to complete the survey. The stress scores of these 60 students can be found below. Male Female 67 70 68 76 67 69 69 75 70 73 68 88 69 68 70 69 70 75 70 79 71 71 71 68 70 71 71 68 72 78 70 76 69 75 69 69 71 69 69 71 70 68 70 76 70 74 72 71 71 69 70 70 71 74 69 80 72 69 71 79 (i) Describe the 90% confidence intervals for the mean stress score of each gender. Based on the confidence intervals, discuss whether we can conclude that the stress level of both genders are similar. You are required to present the relevant Excel reports. (ii) Apply an appropriate hypothesis test at the 10% significant level to determine whether the stress levels of both genders are similar. You are required to present the relevant Excel report.
A Psychology student wanted to study whether there is a difference in stress levels between gender. She devised a survey to measure stress. There were 20 questions with a total score of 100.
She randomly selected 30 male and 30 female students to complete the survey. The stress scores of these 60 students can be found below.
| Male | Female |
| 67 | 70 |
| 68 | 76 |
| 67 | 69 |
| 69 | 75 |
| 70 | 73 |
| 68 | 88 |
| 69 | 68 |
| 70 | 69 |
| 70 | 75 |
| 70 | 79 |
| 71 | 71 |
| 71 | 68 |
| 70 | 71 |
| 71 | 68 |
| 72 | 78 |
| 70 | 76 |
| 69 | 75 |
| 69 | 69 |
| 71 | 69 |
| 69 | 71 |
| 70 | 68 |
| 70 | 76 |
| 70 | 74 |
| 72 | 71 |
| 71 | 69 |
| 70 | 70 |
| 71 | 74 |
| 69 | 80 |
| 72 | 69 |
| 71 | 79 |
(i) Describe the 90% confidence intervals for the
(ii) Apply an appropriate hypothesis test at the 10% significant level to determine whether the stress levels of both genders are similar. You are required to present the relevant Excel report.
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