Math 120 project

MAT 120, Probability and Statistics Project Name: ______________________________

PART 2

Confidence Interval and Hypothesis Test

For Part 2 of this project, you have the option of using your own data that you collected in Part 1, --OR--you can use the following data set:

Below are systolic blood pressure (mmHg) measurements from a random sample of readings for a single patient over several months:

112	120	121	119	146	119
129	134	123	125	125	123
119	114	110	118	122	126
123	118	115	111	117	119
122	122	129	119	128	109
119	127	119	124	119	128
132	135	131	110	140	122
129	132	122	123	121	125

I. Create a 99% confidence interval. Interpret your results based on the context of the data.

II. Conduct a formal hypothesis test based on your data set. Use the following steps to guide the process.

(If you choose to use the data set above instead of your own data set, determine if the average blood pressure is equal to 120 mmHg or not.)

(1) Write your null () and alternative () hypotheses.

(2) What is your significance level?

(3) Calculate:

(a) The test statistic for the hypothesis test manually. Show the formula and your work.

(b) Find the P-value with the appropriate degrees of freedom. Describe what the P-value measures.

(c) What is the critical value? Draw a graph showing the test statistic, critical values, and the critical region.

(4) Would you reject the null hypothesis, or fail to reject the null hypothesis? Why?

(5) Give an interpretation of the hypothesis test, including the conclusion.