CNNBC recently reported that the mean annual cost of auto insurance is 1016 dollars. Assume the standard deviation is 213 dollars, and the cost is normally distributed. You take a simple random sample of 38 auto insurance policies. Round your answers to 4 decimal places.What is the distribution of XX? XX ~ N(,)What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)What is the probability that one randomly selected auto insurance is more than $1054? a simple random sample of 38 auto insurance policies, find the probability that the average cost is more than $1054. For part d), is the assumption of normal necessary? NoYes

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CNNBC recently reported that the mean annual cost of auto insurance is 1016 dollars. Assume the standard deviation is 213 dollars, and the cost is normally distributed. You take a simple random sample of 38 auto insurance policies. Round your answers to 4 decimal places.

What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the probability that one randomly selected auto insurance is more than $1054?
a simple random sample of 38 auto insurance policies, find the probability that the average cost is more than $1054.
For part d), is the assumption of normal necessary? NoYes

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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CNNBC recently reported that the mean annual cost of auto insurance is 1033 dollars. Assume the standard deviation is 296 dollars, and the cost is normally distributed. You take a simple random sample of 38 auto insurance policies. Round your answers to 4 decimal places.

What is the distribution of �? � ~ N(,)
What is the distribution of �¯? �¯ ~ N(,)
What is the probability that one randomly selected auto insurance is less than $1102?
a simple random sample of 38 auto insurance policies, find the probability that the average cost is less than $1102.

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