Question

Suppose x has a distribution with a mean of 80 and a standard deviation of 20. Random samples of size n = 64 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has distribution with mean μx = and standard deviation σx = . (b) Find the z value corresponding to x = 75. z = (c) Find P(x < 75). (Round your answer to four decimal places.) P(x < 75) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 75? Explain. Yes, it would be unusual because more than 5% of all such samples have means less than 75. No, it would not be unusual because less than 5% of all such samples have means less than 75. No, it would not be unusual because more than 5% of all such samples have means less than 75. Yes, it would be unusual because less than 5% of all such samples have means less than 75.

          Suppose x has a distribution with a mean of 80 and a standard
deviation of 20. Random samples of size n = 64 are drawn. (a)
Describe the x distribution and compute the mean and standard
deviation of the distribution. x has distribution with mean μx =
and standard deviation σx = . (b) Find the z value corresponding to
x = 75. z = (c) Find P(x < 75). (Round your answer to four
decimal places.) P(x < 75) = (d) Would it be unusual for a
random sample of size 64 from the x distribution to have a sample
mean less than 75? Explain. Yes, it would be unusual because more
than 5% of all such samples have means less than 75. No, it would
not be unusual because less than 5% of all such samples have means
less than 75. No, it would not be unusual because more than 5% of
all such samples have means less than 75. Yes, it would be unusual
because less than 5% of all such samples have means less than
75.

Added by Samantha A.

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