CNNBC recently reported that the mean annual cost of auto insurance is 1050 dollars. Assume the standard deviation is 211 dollars, and the cost is normally distributed. You take a simple random sample of 12 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. What is the probability that one randomly selected auto insurance is more than $1072? d. a simple random sample of 12 auto insurance policies, find the probability that the average cost is more than $1072. e. For part d), is the assumption of normal necessary? Yes No Check Answer

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Question 10
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Formulas: np; √√np(1-p) ;
Here is the quick link to the scientific calculator, and from there, you may navigate to any online statistics
calculators using the "Content" tab on the upper-left-hand side.
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1
CNNBC recently reported that the mean annual cost of auto insurance is 1050 dollars. Assume the standard
deviation is 211 dollars, and the cost is normally distributed. You take a simple random sample of 12 auto
insurance policies. Round your answers to 4 decimal places.
30
F1
>
a. What is the distribution of X? X - N(
b. What is the distribution of ? - N(
c. What is the probability that one randomly selected auto insurance is more than $1072?
d. a simple random sample of 12 auto insurance policies, find the probability that the average cost is more
than $1072.
e. For part d), is the assumption of normal necessary?
p(1 - p)
n
@
2
F2
σ
√n
;
#3
80
F3
Yes No
$
DS
4
a
F4
%
5
9
F5
MacBook Air
^
6
F6
&
7
Transcribed Image Text:Question 10 Check Answer esc. ▼ Formulas: np; √√np(1-p) ; Here is the quick link to the scientific calculator, and from there, you may navigate to any online statistics calculators using the "Content" tab on the upper-left-hand side. ! < 1 CNNBC recently reported that the mean annual cost of auto insurance is 1050 dollars. Assume the standard deviation is 211 dollars, and the cost is normally distributed. You take a simple random sample of 12 auto insurance policies. Round your answers to 4 decimal places. 30 F1 > a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. What is the probability that one randomly selected auto insurance is more than $1072? d. a simple random sample of 12 auto insurance policies, find the probability that the average cost is more than $1072. e. For part d), is the assumption of normal necessary? p(1 - p) n @ 2 F2 σ √n ; #3 80 F3 Yes No $ DS 4 a F4 % 5 9 F5 MacBook Air ^ 6 F6 & 7
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