Question

Suppose x has a distribution with a mean of 50 and a standard deviation of 9. Random samples of size n = 36 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has a distribution with mean μx = 50 and standard deviation σx = 9. (b) Find the z value corresponding to x = 48.5. z = (c) Find P(x < 48.5). (Round your answer to four decimal places.) P(x < 48.5) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 48.5? Explain. Yes, it would be unusual because more than 5% of all such samples have means less than 48.5. No, it would not be unusual because less than 5% of all such samples have means less than 48.5. No, it would not be unusual because more than 5% of all such samples have means less than 48.5. Yes, it would be unusual because less than 5% of all such samples have means less than 48.5.

          Suppose x has a distribution with a mean of 50 and a standard deviation of 9. Random samples of size n = 36 are drawn.
(a) Describe the x distribution and compute the mean and standard deviation of the distribution.
x has a distribution with mean μx = 50 and standard deviation σx = 9.
(b) Find the z value corresponding to x = 48.5.
z = 
(c) Find P(x < 48.5). (Round your answer to four decimal places.)
P(x < 48.5) = 
(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 48.5? Explain.
Yes, it would be unusual because more than 5% of all such samples have means less than 48.5. No, it would not be unusual because less than 5% of all such samples have means less than 48.5. No, it would not be unusual because more than 5% of all such samples have means less than 48.5. Yes, it would be unusual because less than 5% of all such samples have means less than 48.5.

Added by Sara Q.

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