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 24 sedans has a mean minimum time to travel a quarter mile of 15.3 seconds and a standard deviation of 2.08 seconds. At a =0.01 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state Ho and Ha. Họ: Ha: V (Type integers or decimals. Do not round.) The claim is the V hypothesis. (b) Use technology to find the P-value. Obtain the P-value. P=0 (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. V H, because the P-value V greater than a. (d) Interpret the decision in the context of the original claim. There is enough evidence at the % level of significance to (Type integers or decimals. Do not round.) V the claim that the mean minimum time it takes for a sedan to travel a quarter mile is V seconds.

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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 24 sedans has a mean minimum time to travel a quarter mile
of 15.3 seconds and a standard deviation of 2.08 seconds. At a = 0.01 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally
distributed.
(a) Identify the claim and state Ho and Ha
Ho:
На
(Type integers or decimals. Do not round.)
The claim is the
V hypothesis.
(b) Use technology
find the P-value.
Obtain the P-value.
(Round to three decimal places as needed.)
(c) Decide whether to reject or fail to reject the null hypothesis.
Ho because the P-value
V greater than a.
(d) Interpret the decision in the context of the original claim.
There
enough evidence at the% level of significance to
the claim that the mean minimum time it takes for a sedan
travel a quarter mile is
seconds.
is
(Type integers or decimals. Do not round.)
Transcribed Image Text: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 24 sedans has a mean minimum time to travel a quarter mile of 15.3 seconds and a standard deviation of 2.08 seconds. At a = 0.01 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state Ho and Ha Ho: На (Type integers or decimals. Do not round.) The claim is the V hypothesis. (b) Use technology find the P-value. Obtain the P-value. (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Ho because the P-value V greater than a. (d) Interpret the decision in the context of the original claim. There enough evidence at the% level of significance to the claim that the mean minimum time it takes for a sedan travel a quarter mile is seconds. is (Type integers or decimals. Do not round.)
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