According to statistica.com, Facebook users spent an average of 35 minutes a day on the network in 2018. Assume that this population has a standard deviation of 12 minutes. A random sample of 60 users was selected from this population.
A) what is the probability that the average number of minutes on the network of any day was less than 33 minutes?
B) What is the probability that the average number of minutes on the network of any day was less than 36 minutes?
C)what is the probability that the average number of minutes on the network of any day will be between 33 and 36 minutes?
D) A sample of 60 Facebook users were selected and found to have a sample average of 36.5 minutes a day on the network. construct a 95% confidence interval estimate number of minutes spent on the network per user.
E) Based on the result in (d), do you think this sample support the finding of statistica.com? justify your answer,
F) another sample of 60 Facebook users were selected and found to have a sample average of 34.98 minutes a day on the network. Construct a 95% confidence interval estimate number of minutes spent on the network per user.
G) Does the sample support the finding of statistica.com based on the result in (f)?