Question

Consider the following data, which represent bicycle tire pressures (in psi) for new “road bicycle” wheels shipped to regional bicycle shops.

87, 90, 135, 120, 110, 100, 101, 140, 130, 137, 91, 98, 107, 108, 132

i. Manufacturers are concerned that the bicycle tires should be road safe upon delivery, which means the typical tire pressure should be at most 130 psi. Construct an appropriate pair of hypotheses that could be used to test this.

ii. Explain why a nonparametric approach may be appropriate for this data situation.

iii. By hand, use the Sign Test to evaluate your hypotheses using the data. What is your conclusion?

iv. Reproduce your test using statistical software.

v. Suppose that manufacturers want to ensure that their bicycle tires fall within the range of 80 psi and 130 psi. Can they conclude this from their data?

Answer 1

iv. Reproduce your test using statistical software.

v. Suppose that manufacturers want to ensure that their bicycle tires fall within the range of 80 psi and 130 psi. Can they conclude this from their data?

Ans: We can not conclude that this is from their data because we can not reject the null hypothesis in iii).