Consider the following data, which represent bicycle tirepressures (in psi) for new “road bicycle” wheels shipped toregional 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 beroad safe upon delivery, which means the typical tire pressureshould be at most 130 psi. Construct an appropriate pair ofhypotheses that could be used to test this.
ii. Explain why a nonparametric approach may be appropriate forthis data situation.
iii. By hand, use the Sign Test to evaluate your hypothesesusing the data. What is your conclusion?
iv. Reproduce your test using statistical software.
v. Suppose that manufacturers want to ensure that their bicycletires fall within the range of 80 psi and 130 psi. Can theyconclude this from their data?
