تم الحل ✓
categoryإحصاء
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
Suppose x has a distribution with a mean of 50 and a standard deviation of 21. 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 normal
distribution with mean = 50
(b) Find the z value corresponding to x = 43.
z=
and standard deviation 0-3.5
(c) Find P(x <43). (Round your answer to four decimal places.)
P(x < 43)=
(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 43? Explain.
No, it would not be unusual because more than 5% of all such samples have means less than 43.
Yes, it would be unusual because more than 5% of all such samples have means less than 43.
No, it would not be unusual because less than 5% of all such samples have means less than 43.
Yes, it would be unusual because less than 5% of all such samples have means less than 43.
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