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A doctor wants to know if a blood pressure medication is effective. Six subjects have their blood pressures recorded. After twelve weeks on the medication, the same six subjects have their blood pressure recorded again. For this test, only systolic pressure is of concern. Test at the 1% signicance level. (Calculate "after" "before.") Patient A B C D E F 161 162 165 162 166 171 166 160 167 170 What is the p-value? (Round your answer to four decimal places.) .0699 x What information and tools are needed to determine the pvalue? 4. [6'12 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The weighis of eight rowers on each of the Cambridge and Oxford crew teams are given here. Assuming that these men represent appropriate random samples, test the hypothesis that the mean weight of rowers on the Cambridge and Oxford crew teams are equal versus the alternative that they are not equal. Cambridge: 188.5, 183.5, 194.5, 185.0, 214.5, 203.5, 186.5, 178.5 Oxford: 186.0, 134.0, 204.5, 184.5, 195.0, 202.0, 174.0, 183.5 To determine which t-test to use, nd the standard deviation for each sample. Cambridge v Oxford s= v The appropriate test is O The 2-sample t-test (unequal variances) O The pooled 2sample ttest O The paired t-test O A z-test for the difference of two means I Find the values of the test statistic (to two decimal places), the degrees of freedom, and the pvalue (to four decimal places). t= df= p......= :1 5. [6/12 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The weights of eight rowers on each of the Harvard and Princeton crew teams are given here. Assuming that these men represent appropriate random samples, test the hypothesis that the mean weight of rowers on the Harvard and Princeton crew teams are equal versus the alternative that they are not equal. Harvard: 188.0, 183.0, 194.0, 185.5, 214.5, 203.5, 186.5, 178.5 Princeton: 180.5, 178.5, 190.5, 184.5, 191.5, 182.0, 179.5, 183.0 To determine which t-test to use, find the standard deviation for each sample. s1= 11.9 $2= 4.9 The appropriate test is O The paired t-test O The 2-sample t-test (unequal variances) O A z-test for the difference of two means The pooled 2-sample t-test Find the values of the test statistic (to two decimal places), the degrees of freedom, and the p-value (to four decimal places). t= df= p-value=A study investigated the effectiveness of meditation training in reducing trait anxiety. The study evaluated subjects trait anxiety levels before and after the study subjects participated in an 8 week training course in meditation. The difference in the pre-training and post-training trait anxiety levels were calculated for each participant. For the 27 people in the study, the mean reduction in anxiety was 4.8, and the standard deviation of the reductions was 6.9. (a) Find a 99% condence interval for the population mean. (Round your answers to one decimal place.) :lt0l:] .. mm...\" [m...HWYOUREACHERHmam...1 Volunteers who had developed a cold within the previous 24 hours were randomized to take either zinc or placebo lozenges every 2 to 3 hours until their cold symptoms were gone. Twenty-ve participants took zinc lozenges, and 23 participants took placebo lozenges. The mean overall duration of symptoms for the zinc lozenge group was ;1 = 4.6 days, and the standard deviation of overall duration of symptoms was 1.5 days. For the placebo group, the mean overall duration of symptoms was :72 = 7.9 days, and the standard deviation was 1.5 days. (a) Calculate )72 - J_(1 difference in sample means and also compute the unpooled 5.e.(2 - ;1) standard error of the difference in means. (Round all answers to the nearest hundredth.) x. 3. 1E] ., am 1) = :ldavs (b) Compute a 95% condence interval for the difference in mean days of overall symptoms for the placebo and zinc lozenge treatments. Use the unpooled standard error and use the smaller of n1 1 and n2 1 as a conservative estimate of degrees of freedom. (Round the answers to one decimal place.) :1 to :1 days (1:) Complete the following sentence interpreting the interval which was obtained in part (b). With 95% condence, we can say that in the population of cold sufferers represented by the sample, taking zinc lozenges would - y the mean number of days of symptoms by somewhere between :] and :] days, compared with taking a placebo
