A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.6 seconds. A random sample of 20 sedans has a mean minimum time to travel a quarter mile of 15.3 seconds and a standard deviation of 2.08 seconds. At α = 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: Hai (Type integers or decimals. Do not round.) ▼hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. The claim is the 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 α. (d) Interpret the decision in the context of the original claim. There ▼ enough evidence at the level of significance to % takes for a sedan to travel a quarter mile is (Type integers or decimals. Do not round.) the claim that the mean minimum time it seconds.
A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.6 seconds. A random sample of 20 sedans has a mean minimum time to travel a quarter mile of 15.3 seconds and a standard deviation of 2.08 seconds. At α = 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: Hai (Type integers or decimals. Do not round.) ▼hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. The claim is the 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 α. (d) Interpret the decision in the context of the original claim. There ▼ enough evidence at the level of significance to % takes for a sedan to travel a quarter mile is (Type integers or decimals. Do not round.) the claim that the mean minimum time it seconds.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Statistics Question 7
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 14.6
seconds. A random sample of 20 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:
Hai
(Type integers or decimals. Do not round.)
▼hypothesis.
(b) Use technology to find the P-value. Find the standardized test statistic, t.
The claim is the
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 α.
(d) Interpret the decision in the context of the original claim.
There ▼ enough evidence at the level of significance to
%
takes for a sedan to travel a quarter mile is
(Type integers or decimals. Do not round.)
▼the claim that the mean minimum time it
seconds.
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