Supposexhas a distribution with a mean of70and a standard deviation of21. Random samples of sizen=36are drawn.

(a) Describe thexdistribution. x has a Poisson distribution.

x has a normal distribution.

x has an unknown distribution.

x has an approximately normal distribution.

x has a binomial distribution.

x has a geometric distribution.

Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) x = x = (b) Find thezvalue corresponding tox =63. (Enter an exact number.) z= (c) FindP(x<63). (Enter a number. Round your answer to four decimal places.) P(x <63) = (d) Would it be unusual for a random sample of size36from thexdistribution to have a sample mean less than63? Explain. No, it would not be unusual because less than 5% of all such samples have means less than 63.

No, it would not be unusual because more than 5% of all such samples have means less than 63.

Yes, it would be unusual because less than 5% of all such samples have means less than 63.

Yes, it would be unusual because more than 5% of all such samples have means less than 63.