A poll used a sample of 100 randomly selected car owners. Within the sample, the mean time of ownership for a single car was 6.07 years with a standard deviation of 3.41 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. State the null and alternative hypotheses. OA. Ho: μ6.5 years Ha: μ = 6.5 years OC. Ho: μ 6.5 years Ha: μ<6.5 years Find the 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. OB. Ho: H=6.5 years H₂: μ#6.5 years O D. Ho: μ-6.5 years H₂: μ> 6.5 years O A. The P-value is more than the significance level. There is sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years. OB. The P-value is more than the significance level. There is not sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years. OC. The P-value is less than or equal to the significance level. There is sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years. O D. The P-value is less than or equal to the significance level. 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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A poll used a sample of 100 randomly selected car owners. Within the sample, the mean time of ownership for a single car was 6.07 years with a standard deviation of 3.41 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.
State the null and alternative hypotheses.
A. Ho: μ#6.5 years
H₂: μ = 6.5 years
OC. Ho: μ-6.5 years
=
Ha: μ<6.5 years
Find the 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.
B. Ho: μ = 6.5 years
H₂: μ # 6.5 years
D. Ho: μ = 6.5 years
Ha: μ> 6.5 years
A. The P-value is more than the significance level. There is sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years.
B. The P-value is more than the significance level. There is not sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years.
C. The P-value is less than or equal to the significance level. There is sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years.
O D. The P-value is less than or equal to the significance level. There not sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years.
Transcribed Image Text:A poll used a sample of 100 randomly selected car owners. Within the sample, the mean time of ownership for a single car was 6.07 years with a standard deviation of 3.41 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. State the null and alternative hypotheses. A. Ho: μ#6.5 years H₂: μ = 6.5 years OC. Ho: μ-6.5 years = Ha: μ<6.5 years Find the 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. B. Ho: μ = 6.5 years H₂: μ # 6.5 years D. Ho: μ = 6.5 years Ha: μ> 6.5 years A. The P-value is more than the significance level. There is sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years. B. The P-value is more than the significance level. There is not sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years. C. The P-value is less than or equal to the significance level. There is sufficient evidence to support the claim that the mean time of ownership for all cars is less than 6.5 years. O D. The P-value is less than or equal to the significance level. There 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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