The number of mobile apps installed by smartphone users varies from user to user. For the population of smartphone users in the U.S., the number of mobile apps installed on their mobile phones has a mean of 32.8 apps and a standard deviation of 5.6 apps.

Assume that the stated mean of 32.8 apps and stated standard deviation of 5.6 apps are the correct parameters for this population of smartphone users in the U.S.

1.) If we take many random samples and for each sample compute the sample mean, the resulting values of \bar{x}x are always normally distributed.

a.)True

b.)False

2.) For which sample size would seeing a sample mean of at least 37 be most unlikely?

a.) n = 25

b.) n=100

c.)n = 500

d.)Can't tell with the information provided