Supposexhas a distribution with a mean of80and a standard deviation of15. Random samples of sizen=36are drawn.(a) Describe thedistribution.

has a geometric distribution. has a Poisson distribution. has an approximately normal distribution. has a normal distribution. has an unknown distribution. has a binomial distribution.

Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) =mu sub x bar = =sigma sub x bar = (b) Find thezvalue corresponding to=85. (Enter an exact number.) z= (c) FindP(<85). (Enter a number. Round your answer to four decimal places.) P(<85) =P(x bar < 85) (d) Would it be unusual for a random sample of size36from thexdistribution to have a sample mean less than85? Explain.

Yes, it would be unusual because more than 5% of all such samples have means less than 85.No, it would not be unusual because more than 5% of all such samples have means less than 85. Yes, it would be unusual because less than 5% of all such samples have means less than 85.No, it would not be unusual because less than 5% of all such samples have means less than 85.