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    Paired t test for blood pressure data

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    D. The Sunbeam Corporation makes a wide variety of appliances for the home. One product is a digital blood pressure gauge. For obvious reasons, the blood pressure readings made by the monitor need to be accurate. When a new model is being designed, one of the steps is to test it. To do this, a sample of people is selected. Each person has his/her systolic blood pressure taken by a highly respected physician. They then immediately have their systolic blood pressure taken using the Sunbeam monitor. If the mean blood pressure is the same for the monitor as it is as determined by the physician, the monitor is determined to pass the test.
    In a recent test, 15 people were randomly selected to be in the sample. The blood pressure readings for these people using both methods are:

    Systolic BP Systolic BP
    as measured as measured
    by a by Monitor
    112 126
    109 108
    139 116
    141 123
    120 138
    99 123
    128 119
    118 122
    116 116
    120 118
    111 114
    123 108
    114 130
    121 123
    132 127

    a. Based on the sample data and a significance level equal to 0.05, what conclusion should the Sunbeam engineers reach regarding the latest blood pressure monitor?
    b. Conduct the test as a paired t-test.
    c. Discuss which of the two procedures in parts a and b is more appropriate to analyze the data presented in this problem.

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    Solution Summary

    Step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.