Suppose x has a distribution with a mean of 70 and a standard deviation of 21. Random samples of size
n = 36
are drawn.
A button hyperlink to the SALT program that reads: Use SALT.
(a)
Describe the x distribution and compute the mean and standard deviation of the distribution.
x has
---Select---
distribution with
mean x =
and
standard deviation x =
.
(b)
Find the z value corresponding to
x = 63.
z =
(c)
Find
P(x < 63).
(Round your answer to four decimal places.)
P(x < 63) =
(d)
Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 63? Explain.
Yes, it would 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 more than 5% of all such samples have means less than 63.
No, it would not be unusual because less than 5% of all such samples have means less than 63.