The mean annual premium for automobile insurance in the united states is $1503 (insure 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. if required, enter negative values as negative numbers.

a. develop a hypothesis test that can be used to determine whether the mean annual premium in pennsylvania is lower than the national mean annual premium. h 0: μ h a: μ
b. what is a point estimate of the difference between the mean annual premium in pennsylvania and the national mean (to the nearest dollar)? $ c. at = .05, test for a significant difference by completing the following. calculate the value of the test statistic (to 2 decimals). the p-value is what is your conclusion?

It is not evident the mean annual premium in Pennsylvania is lower than the national mean annual premium

Step-by-step explanation:

Given that annual premium for automobile insurance in the United States  (Insure website, March 6, 2014), are as follows:

Mean1440.00

SD165.00

SEM33.00

N25    

a)

(left tailed test at 5% level)

b) a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean

=

c)    df = 24

 standard error of difference = 33.000

t = 1.9091

The   95% confidence interval of this difference:

From -131.11 to 5.11

p value = 0.0683

Since p >0.05, we accept H0

It is not evident the mean annual premium in Pennsylvania is lower than the national mean annual premium

answer: it's d

step-by-step explanation:

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.