Reference no: EM132461717

Suppose x has a distribution with a mean of 60 and a standard deviation of 21. Random samples of size n = 36 are drawn.

1) Describe the distribution.

a. has an unknown distribution.

b. has a geometric distribution.

c. has a normal distribution.

d. has a Poisson distribution.

e. has a binomial distribution.

f. has an approximately normal distribution.

Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)

= mu sub x bar =

= sigma sub x bar =

2) Find the z value corresponding to = 53. (Enter an exact number.)

z =

3) Find P( < 53). (Enter a number. Round your answer to four decimal places.)

P(x bar < 53) = ___________

4) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 53? Explain.

a. No, it would not be unusual because more than 5% of all such samples have means less than 53.

b. Yes, it would be unusual because more than 5% of all such samples have means less than 53.

c. Yes, it would be unusual because less than 5% of all such samples have means less than 53.

d. No, it would not be unusual because less than 5% of all such samples have means less than 53.