In: Math
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.