CNNBC recently reported that the mean annual cost of auto insurance is 992 dollars. Assume the standard deviation is 218 dollars, and the cost is normally distributed. You take a simple random sample of 40 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 ? i - N c. What is the probability that one randomly selected auto insurance is more than $1008? d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is more than $1008. e. For part d), is the assumption of normal necessary? O NoO Yes

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Question 1
CNNBC recently reported that the mean annual cost of auto insurance is 992 dollars. Assume the
standard deviation is 218 dollars, and the cost is normally distributed. You take a simple random
sample of 40 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 ? E - N(
c. What is the probability that one randomly selected auto insurance is more than $1008?
d. a simple random sample of 40 auto insurance policies, find the probability that the average
cost is more than $1008,
e. For part d), is the assumption of normal necessary? O NoO Yes
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Question 2
The sampling distribution of a statistic is (select the best answer):
А:
sampling was effective.
B:
standardizing.
The mechanism that determines whether the random
A normal curve, for which probabilities are obtained by
C:
to be randomly sampled.
D:
samples of the same size, from the same population.
E:
single random sample, from the same population.
A distribution of all parameters from the population that is
A distribution of a single statistic from repeated random
A distribution of all possible summary statistics from a
O Choice A
O Choice B
O Choice C
O Choice D
O Choice E
Transcribed Image Text:Question 1 CNNBC recently reported that the mean annual cost of auto insurance is 992 dollars. Assume the standard deviation is 218 dollars, and the cost is normally distributed. You take a simple random sample of 40 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 ? E - N( c. What is the probability that one randomly selected auto insurance is more than $1008? d. a simple random sample of 40 auto insurance policies, find the probability that the average cost is more than $1008, e. For part d), is the assumption of normal necessary? O NoO Yes Submit Question Question 2 The sampling distribution of a statistic is (select the best answer): А: sampling was effective. B: standardizing. The mechanism that determines whether the random A normal curve, for which probabilities are obtained by C: to be randomly sampled. D: samples of the same size, from the same population. E: single random sample, from the same population. A distribution of all parameters from the population that is A distribution of a single statistic from repeated random A distribution of all possible summary statistics from a O Choice A O Choice B O Choice C O Choice D O Choice E
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