STAT305/605 Fall 2020 SFU Midterm Due October 23rd 5:00PM PST
X=( Y=( 45, 10, 0, 0, 40, 4, 41, 0, 7, 6, 44, 0, 0, 46, 38, 0, 27, 0 2)
)
Note that these column vectors vertically indicate the coordinates of X (on the left) and Y (on the right). The coordinates of each vector are provided within round parentheses, separated by commas. Compute the p-value for a two-sided, unpaired two-sample t-test with unequal variances against the null hypothesis H0 : X ̄ “ Y ̄ towards the alter- native hypothesis that X ̄ “ Y ̄. Does the p-value you compute reject the null hypothesis at an alpha level of 0.05?
(7 points)
b) Suppose that the p-value calculated in question a) of this Problem rejects the null at an alpha level of 0.05. Your colleagues want to write: ‘Our results indicate that this new curriculum should be deployed across Canada.’ Provide four criticisms of this statement, with at most two sentences per criticism. You may criticise the aspects of the statistics described in the experiment, or the scope of the claim.
(4 points)
c) Socioeconomic background may modulate the extent of post-secondary attainment for a student due to factors external to the student. Also, people may return to post-secondary studies at any age. The experi- ment described in this Problem seems to ignore these considerations. How could this experiment be modified to be more socially relevant
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