Question

43. Nitrogen in Tires A recent campaign was designed to convince car owners that they should fill their tires with nitrogen instead of air. At a cost of about $5 per tire, nitro- gen supposedly has the advantage of leaking at a much slower rate than air, so that the ideal tire pressure can be maintained more consistently. Before spending huge sums to advertise the nitrogen, it would be wise to conduct a survey to determine the per- centage of car owners who would pay for the nitrogen. How many randomly selected car owners should be surveyed? Assume that we want to be 98% confident that the sample percentage is within three percentage points of the true percentage of all car owners who would be willing to pay for the nitrogen.

Answer 1

Answer:

Given data

The mistakes you made is z - value = 98%. CI

As 98% confidence Intervals corresponding

z - value = 2.33

Also use p = 0.5 as population is unknown.

Given confidence interval (c) for 3% is know 0.03

we know

Z? * P(1 – P) SS (2.33)(0.5)(1 – 0.5) (0.03) (2.33)?(0.25) 0.0009 = 1508.027 1509 :. The minimum couple size N = 1509

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