What proportion of schools adopt the strict school closure

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Problem

Suppose that the number of days taken for strict school closure mandate adoptions worldwide (from Question 1) is normally distributed. Assuming the calculated mean and standard deviation that you computed in Question 1 are your best estimates for the population of all schools worldwide, answer the probabilistic questions below. Note, consider negative number of days to be schools that close before mandates were issued.

Question 1. What proportion of schools adopt the strict school closure mandate between 14.3 and 17.1 days?

Question 2. What proportion of schools adopt the strict school closure mandate in less than 5 days?

Question 3. What number of days is the 73.49th percentile?

Question 4. If 53 schools were randomly selected from this population, what is the probability that the sample mean number of days will be greater than 15 days?

Reference no: EM133518517

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