Question 7 < > CNNBC recently reported that the mean annual cost of auto insurance is 985 dollars. Assume the standard deviation is 181 dollars. You will use a simple random sample of 142 auto insurance policies. Find the probability that a single randomly selected policy has a mean value between 985 and 986.5 dollars. P(985 < X < 986.5) = Find the probability that a random sample of size n = 142 has a mean value between 985 and 986.5 dollars. P(985 M 986.5) = Enter your answers as numbers accurate to 4 decimal places. Question Help: Video Submit Question

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### Question 7

CNNBC recently reported that the mean annual cost of auto insurance is 985 dollars. Assume the standard deviation is 181 dollars. You will use a simple random sample of 142 auto insurance policies.

1. **Find the probability that a single randomly selected policy has a mean value between 985 and 986.5 dollars.**

   \( P(985 < X < 986.5) = \)

2. **Find the probability that a random sample of size \( n = 142 \) has a mean value between 985 and 986.5 dollars.**

   \( P(985 < M < 986.5) = \)

Enter your answers as numbers accurate to 4 decimal places.

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Transcribed Image Text:### Question 7 CNNBC recently reported that the mean annual cost of auto insurance is 985 dollars. Assume the standard deviation is 181 dollars. You will use a simple random sample of 142 auto insurance policies. 1. **Find the probability that a single randomly selected policy has a mean value between 985 and 986.5 dollars.** \( P(985 < X < 986.5) = \) 2. **Find the probability that a random sample of size \( n = 142 \) has a mean value between 985 and 986.5 dollars.** \( P(985 < M < 986.5) = \) Enter your answers as numbers accurate to 4 decimal places. **Question Help:** - [Video](#) **Submit Question** Button (Note: There are no graphs or diagrams in the image.)
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