# 2. The mean annual premium for automobile insurance in the United States is \$1503 (Insure.com website, March 6, 2014). Being from Pennsylvania, you believe automobile insurance is cheaper there and wish to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of \$1440 with a standard deviation of s = \$165.

1. Consider the following hypothesis test:

H0μ ≥ 45

Haμ < 45

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A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = .01.

a.  With x = 44 and s = 5.2, the p-value is
– Select your answer – less than .005 between .005 and .01 between .01 and .025 between .025 and .05 between .05 and .10 between .10 and .20 greater than .20 Item 1

Can it be concluded that the popluation mean is less than 45?

b.  With x = 43 and s = 4.6, the p-value is
– Select your answer – less than .005 between .005 and .01 between .01 and .025 between .025 and .05 between .05 and .10 between .10 and .20 greater than .20 Item 3

Can it be concluded that the population mean is less than 45?

c.  With x = 46 and s = 5.0, the p-value is
– Select your answer – less than .005 between .005 and .01 between .01 and .025 between .025 and .05 between .05 and .10 between .10 and .20 greater than .20 Item 5

Can it be concluded that the popluation mean is less than 45?

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