A poll used a sample of 100 randomly selected car owners. Within the sample, the mean time of ownership for a single car was 6.28 years with a standard deviation of 3.52 years. Test the claim by the owner of a large dealership that the mean time of ownership for all cars is less than 6.5 years. Use a 0.05 significance level. Calculate the test statistic (z-score). z= (Round to two decimal places as needed.) Find the P-value. The P-value is ___ (Round to four decimal places as needed.) State the conclusion. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years. B. Reject the null hypothesis. There is sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years. C. Reject the null hypothesis. There is not sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years. D. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years.
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Step 1
State the null hypothesis (H0) and the alternative hypothesis (H1). H0: Ī¼ = 6.5 years (the mean time of ownership for all cars is 6.5 years) H1: Ī¼ < 6.5 years (the mean time of ownership for all cars is less than 6.5 years) Show moreā¦
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