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In a study of 100 subjects the mean μ of a variable assumed to be normally distributed was estimated to be 140 and further the 95% confidence interval was estimated to be (135,145).
a) What can you say about the outcome of the following test H0: μ = 136 against H1: μ ≠ 136
b) How many subjects would you approximately need to reduce the length of the 95% confidence interval to 2 units?
The data in the scatterplot below are an individual's weight and the time it takes (in seconds) on a treadmill to raise his or her pulse rate to 140 beats per minute. The o's correspond to females and the +'s to males.
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