Question

In: Statistics and Probability

A designer of a certain type of race cars asserts that painting a car increases its...

A designer of a certain type of race cars asserts that painting a car increases its top speed by reducing drag. To test this, the top speeds (in mph) of six cars were measured on a track before and after painting. The results are shown in the table below. Test the claim that the mean of the differences (painted – not painted) for all race cars (paired T-test) is positive at the 95% confidence level. Do these results support the designer’s assertion?

Unpainted

214

208

198

216

208

213

Painted

216

206

201

218

208

215

Solutions

Expert Solution

Let us denote the difference

d = painted – not painted

There is not sufficient evidence to support the designer’s assertion that the mean of the differences (painted – not painted) for all race cars (paired T-test) is positive.

orchestra answered 1 year ago
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