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:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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