Answer :
To compute the 90% confi-dence interval for the difference in body temperature (Before-After), we first need to calculate the mean difference and the standard deviation of the differences . Using the given data, Here, n = 4 - which gives us a critical value of t = 2.776.
Finally, we calculate the margin of error using the formula:
E = t [tex]\times[/tex](s / √n). Substituting the values,
we get
E = 2.776 [tex]\times[/tex] (0.872 / √4) = 1.217.
Therefore, the 90% confidence interval for the difference in body temperature is (-1.442, 0.992). This means we are 90% confi-dent that the true difference in body temperature lies between -1.442 and 0.992.
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