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 20 sedans has a mean minimum time to travel a quarter mile of 15.4 seconds and a standard deviation of 2.09 seconds. At alphaequals0.05 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
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Part 1
(a) Identify the claim and state Upper H 0 and Upper H Subscript a.
Upper H 0 : nbsp
mu
less than or equals
14.7
Upper H Subscript a Baseline : nbsp
mu
greater than
14.7
(Type integers or decimals. Do not round.)
The claim is the
alternative
hypothesis.
Part 2
(b) Use technology to find the P-value. Find the standardized test statistic, t.
tequals
1.50
(Round to two decimal places as needed.)
Part 3
Obtain the P-value.
Pequals
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