mean minimum time it takes for a sedan to travel a quarter mile is greater tha mile of 15.6 seconds and a standard deviation of 2.09 seconds. At a = 0.05 is h (d) below. Assume the population is normally distributed. ..... and Ha ot round.) othesis. P-value. Find the standardized test statistic, t.

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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 22 sedans has a mean
minimum time to travel a quarter mile of 15.6 seconds and a standard deviation of 2.09 seconds. At a = 0.05 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.
H:
(Type integers or decimals. Do not round.)
The claim is the
hypothesis.
null
alternative
(b) Use technology to find the P-value. Find the standardized test statistic, t.
(Round to two decimal places as needed.)
Obtain the P-value.
P=
(Round to three decimal places as needed.)
(c) Decide whether to reject or fail to reject the null hypothesis.
Ho because the P-value
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 to travel a quarter mile is
seconds.
(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 22 sedans has a mean minimum time to travel a quarter mile of 15.6 seconds and a standard deviation of 2.09 seconds. At a = 0.05 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. H: (Type integers or decimals. Do not round.) The claim is the hypothesis. null alternative (b) Use technology to find the P-value. Find the standardized test statistic, t. (Round to two decimal places as needed.) Obtain the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Ho because the P-value 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 to travel a quarter mile is seconds. (Type integers or decimals. Do not round.)
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