Is the Mean Lifetime of Particular Type of Car Engine

question 26

Multiple Choice

Is the mean lifetime of particular type of car engine greater than 350,000 km? To test this claim,a sample of 23 engines is measured,yielding an average of 365,000 km and a standard deviation of 18,500 km.Use a significance level of 0.01.

• A)Reject the null hypothesis of μ = 350,000 with a P-value of 0.0134.There is sufficient evidence that the engines last longer than 350,000 km on average.
• B)Fail to reject the null hypothesis of μ = 350,000 with a P-value of 0.9933.There is not sufficient evidence that the engines last longer than 350,000 km on average.
• C)Reject the null hypothesis of μ = 350,000 with a P-value of 0.0004.There is sufficient evidence that the engines last longer than 350,000 km on average.
• D)Fail to reject the null hypothesis with a P-value of 0.07352.There is not sufficient evidence that the engines last longer than 350,000 km on average.
• E)There is not enough information to perform the test.

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Definitions:

Affective Disorder

A category of mental health disorders that primarily affect mood and emotions, such as depression and bipolar disorder.

Somatoform Disorder

A type of mental disorder characterized by the presence of physical symptoms that cannot be fully explained by a general medical condition, substance use, or another mental disorder.

Paranoia

A psychiatric disorder marked by unfounded suspicions of being targeted, excessive jealousy without cause, or an overinflated perspective of one's own significance.

Autism

A developmental disorder characterized by difficulties in social interaction and communication, and by restricted or repetitive patterns of thought and behavior.