t-Test: Two Sample Assuming Unequal Variances Male Female Mean 72.290 79.836 Variance 101.192 136.984 Observations 58 72 Нyр Мean Diff df 127 t Stat -3.9512 P(T<=t) one-tail t Critical one-tail 0.000064 2.3581 P(T<=t) two-tail t Critical two-tail 0.000128 2.6102
Is there a difference in pulse rates between male and female adults?
In an experiment on a large group of first year university students, each student measured their pulse rates (at rest) on three different days. The average of the three pulse rates was then recorded for each student. Appropriate Excel output (using α = 0.01) is provided.
a) Quantify the evidence for a significant difference in the mean pulse rate for males and females. Support your answer with an appropriate hypothesis test that draws on the Excel output provided at α = 0.01. State your conclusions clearly.
b) Would the conclusions for this test be applicable to the general populations of male and females? Comment on any bias in the results that may have been introduced by using these samples.
c) Calculate a 99% confidence interval for the mean difference in pulse rates for males and females based on this data
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