Question
The Exam Office in SUSS would like to find out whether gender affects students' reading time before they start their attempt on the first question
The Exam Office in SUSS would like to find out whether gender affects students' reading time before they start their attempt on the first question in a Statistics exam. 30 male students and 30 female students were randomly selected and their reading time (in minutes) were recorded. The dataset can be found in the TOA Data File 'Question_3' worksheet.
(a) Describe the 99% confidence intervals for the mean reading time of male and female students. Based on the confidence intervals, discuss whether we can conclude that the mean reading time for both genders is similar.
(b) Apply an appropriate hypothesis test at the 1% significant level to determine whether the mean reading time of both genders is similar.
(c) Compare the results from Part (a) and (b). Should the conclusion be different or similar? Please provide your justification
Reading Time of Students | ||
Male | Female | |
5.96 | 5.78 | |
5.68 | 5.81 | |
5.88 | 5.76 | |
5.98 | 5.88 | |
6.07 | 5.95 | |
5.86 | 5.82 | |
5.81 | 5.9 | |
5.93 | 6.02 | |
6.08 | 5.97 | |
5.96 | 5.96 | |
6.06 | 6.07 | |
5.81 | 6.05 | |
6.11 | 5.97 | |
5.78 | 6.11 | |
5.98 | 6.16 | |
6.01 | 5.97 | |
6.03 | 5.93 | |
5.88 | 5.88 | |
5.91 | 6.08 | |
6.06 | 5.89 | |
5.8 | 6 | |
5.98 | 6.02 | |
5.98 | 5.99 | |
6.11 | 6.15 | |
5.88 | 6.09 | |
5.98 | 5.99 | |
5.98 | 6.09 | |
5.95 | 5.93 | |
5.94 | 6.15 | |
5.97 | 6.08 |
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