Reference no: EM132465087
Suppose x has a distribution with a mean of 40 and a standard deviation of 20. Random samples of size n = 64 are drawn.
(a) Describe the distribution.
has a binomial distribution.
has a Poisson distribution.
has an unknown distribution.
has an approximately normal distribution.
has a geometric distribution.
has a 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 =
(b) Find the z value corresponding to = 35. (Enter an exact number.)
z =
(c) Find P( < 35). (Enter a number. Round your answer to four decimal places.)
P(< 35) = P(x bar < 35)
(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 35? Explain.
No, it would not be unusual because more than 5% of all such samples have means less than 35.
Yes, it would be unusual because less than 5% of all such samples have means less than 35.
No, it would not be unusual because less than 5% of all such samples have means less than 35.
Yes, it would be unusual because more than 5% of all such samples have means less than 35.