It is known that cellular phone batteries produced by a ceratain factory have lifetimes that follow a normal distribution. The average lifetime of the batteries is known to be 2.4 years with a...

It is known that cellular phone batteries produced by a ceratain factory have lifetimes that follow a normal distribution. The average lifetime of the batteries is known to be 2.4 years with a standard deviation of 0.32 years. A random sample of size 16 is to be taken.

a.) What is the mean of the sampling distribution of the sample means?

b.) What is the standard error/ standard deviation of the sampling distribution of the sample means?

c.) What is the distribution of the sampling distribution of the sample means? T-Distribution or Normal Distribution?

d.) What is the probability that a random sample of size 16 will have a sample mean greater than 2.5 years?

e.) What is the probability that a random sample of size 16 will have a mean of less than 2.2 years?

Thankyou!