(7) We are interested in whether the mean blood pressure for women is equal to the mean blood pressure for men or whether these two means are different. The null hypothesis is that these two means are equal. If they are different we have no prior view as to whether women or men have the higher mean blood pressure. We took a sample of the blood pressures of 16 women (group 1) and found an average blood pressure 1 of 119.4. We also measured the blood pressures of their respective brothers (group 2) and found an average blood pressure x 2 of 121.2. In order to carry out the relevant t test we calculated s'a to be 25. We choose a Type I error value a = 0.05. Calculate the numerical value of whichever test statistic you prefer (there are two possibilities). Given your choice of test statistic, state the relevant critical point(s). Carry out the test, indicating whether you accept or reject the null hypothesis.

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(7) We are interested in whether the mean blood pressure for women is equal to the mean blood
pressure for men or whether these two means are different. The null hypothesis is that these two
means are equal. If they are different we have no prior view as to whether women or men have
the higher mean blood pressure. We took a sample of the blood pressures of 16 women (group 1)
and found an average blood pressure x1 of 119.4. We also measured the blood pressures of their
respective brothers (group 2) and found an average blood pressure x 2 of 121.2. In order to carry
out the relevant t test we calculated s?a to be 25. We choose a Type I error value a = 0.05.
Calculate the numerical value of whichever test statistic you prefer (there are two possibilities).
Given
your
choice of test statistic, state the relevant critical point(s).
Carry out the test, indicating whether you accept or reject the null hypothesis.
Transcribed Image Text:(7) We are interested in whether the mean blood pressure for women is equal to the mean blood pressure for men or whether these two means are different. The null hypothesis is that these two means are equal. If they are different we have no prior view as to whether women or men have the higher mean blood pressure. We took a sample of the blood pressures of 16 women (group 1) and found an average blood pressure x1 of 119.4. We also measured the blood pressures of their respective brothers (group 2) and found an average blood pressure x 2 of 121.2. In order to carry out the relevant t test we calculated s?a to be 25. We choose a Type I error value a = 0.05. Calculate the numerical value of whichever test statistic you prefer (there are two possibilities). Given your choice of test statistic, state the relevant critical point(s). Carry out the test, indicating whether you accept or reject the null hypothesis.
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