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The mean number of minutes for app engagement by a table user is 7.5 minutes. Suppose...

The mean number of minutes for app engagement by a table user is 7.5 minutes. Suppose the standard deviation is 1.25 minutes. Take a sample of 80.

a. What are the mean and standard deviation for the sample mean number of app engagement by a tablet user?

b. Find the 90th percentile for the sample mean time for app engagement for a tablet user. Interpret this value in a complete sentence.

c. Find the probability that the sample mean is between 7 and 7.75 minutes.

d. What are the mean and standard deviation for the sums?

e. Find the 90th percentile for the sum of the sample. Interpret this value in a complete sentence.

f. Find the probability that the sum of the sample is at least 10 hours.

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