Mathematics
Mathematics, 04.05.2021 20:20, nicolashernandez347

People with diabetes must monitor and control their blood glucose level. The goal is to maintain "fasting plasma glucose" between about 90 and 130 milligrams per deciliter (mg/dL). Here are the fasting plasma glucose levels for 18 diabetics enrolled in a diabetes management class, five months after the end of the class. 116, 134, 125, 86, 95, 97, 103, 155, 89, 107, 139, 118, 111, 145, 80, 122, 99, 104
1. Make one or more appropriate graphs of the data and calculate an appropriate measure of center and measure of spread. Either make the graphs by hand in the space indicated in the template or, if you use software, copy them into the template, either by hand or electronically. Also type or write your chosen measures of center and spread in the template, along with their values.

2. Use your graph(s) and numerical summaries from the previous question to describe the distribution. (Hint: your description should include 4 essential items about the data distribution).

3. To test whether mean blood sugar is under 130 mg/dL after taking such a class, state appropriate hypotheses in symbols or words.

4. A test of these hypotheses results in a test statistic value of t=-3.52 and a p-value of 0.0012. Draw a picture of the sampling distribution labeled with the test statistic value and with the area represented by the p-value shaded.

5. Write a definition of the p-value in the context of the problem.

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