Question: A manufacturer of a blood-pressure measuring device for home use claims that its device is more consistent than that produced by a leading competitor. During a visit to a medical store a potential buyer tried both devices on himself repeatedly during a short period of time. The following are readings of systolic pressure.
a. Test, at the 5% level of significance, whether the data provide sufficient evidence to conclude that the manufacturer's claim is true.
b. Repeat the test at the 10% level of significance. Quote as many computations from part (a) as possible.