Question

a consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.7 seconds. a random sample of 22 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.11 seconds. at α = 0.10 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 h₀ and hₐ. h₀: hₐ: (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 14.7 seconds".
• The null hypothesis \(H_{0}\) is the statement of equality. So, \(H_{0}:\mu\leq14.7\).
• The alternative hypothesis \(H_{a}\) is the statement we are trying to find evidence for. So, \(H_{a}:\mu > 14.7\).
• Since the claim is \(H_{a}\) (the alternative hypothesis).

Answer:

• \(H_{0}:\mu\leq14.7\)
• \(H_{a}:\mu > 14.7\)
• The claim is the alternative hypothesis.