Question

a consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.8 seconds. a random sample of 21 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.12 seconds. at α = 0.05 is there enough evidence to support the consumer groups claim? complete parts (a) through (d) below. assume the population is normally distributed. (a) identify the claim and state ( h_0 ) and ( h_a ). ( h_0 ) ( h_a ) (type integers or decimals. do not round.) the claim is the hypothesis.

Explanation:

The claim is "the mean minimum time it takes for a sedan to travel a quarter - mile is greater than 14.8 seconds". In hypothesis testing, the null hypothesis \(H_0\) is a statement of equality. So, \(H_0:\mu\leq14.8\). The alternative hypothesis \(H_a\) is the claim we are trying to find evidence for. So, \(H_a:\mu > 14.8\). The claim is the alternative hypothesis.

Answer:

\(H_0:\mu\leq14.8\)
\(H_a:\mu > 14.8\)
The claim is the alternative hypothesis.