![]() Make sure that this alternative hypothesis matches what we selected previously, and away we go. ![]() ![]() The default radio button selection is also for the hypothesis test, so I'm going to leave that. This is what we want, so we're going to leave that alone. Notice this box next to “Pool variances” is unchecked by default. So Sample 1 is for the men, and Sample 2 is for the women. Here in my options window, I'm going to put in the summary stats that were given there next to the problem statement. Inside StatCrunch, I’m going to go to Stat –> T Stats (because we're looking at comparing means without knowing the population standard deviation) –> Two Sample (because we're looking at two samples that are independent - very important to distinguish between dependent and independent samples - these samples here are independent there's no real relationship between any one man in the first group and any one woman in the second group) –> With Summary (because we're not given actual data, just summary statistics). Now we're asked identify the test statistic, and to do that I'm going to run a hypothesis test inside StatCrunch. I select that option and check my answer. Looking over my answer options, I see that is going to be here answer option C. So we're looking for the answer option where the null hypothesis has the two population parameters equal to each other and the alternative hypothesis has mu-1 greater than mu-2. The null hypothesis is by definition a statement of equality. There's no semblance of equality with that statement, and so we can adopt that claim as our alternative hypothesis. If the claim is that the men have a higher mean body temperature than the women, then that means that mu-1 will be greater than mu-2. The women are assigned a subscript 2, so all of the statistics and parameters that have a subscript 2 will be for the women. So all of the statistics and parameters that have a 1 subscript will be those for the men. We notice from our sample statistics table listed here next to the problem statement that the men are being assigned Group 1. ![]() Here it is that men have higher mean body temperature than women. Remember that in order to determine the null and alternative hypotheses, we must first consider the claim the claim being made. OK, Part A says, “Test the claim that men have a higher mean body temperature than women.” We're first asked to determine the null and alternative hypotheses. ![]()
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