Suppose x has a distribution with a mean of 50 and a standard deviation of 36. Random samples of size n = 64 (b) Find the z value corresponding to x = 45.5. (c) Find P(x


Suppose
x
has a distribution with a mean of 50 and a standard deviation of 36. Random samples of size n = 64


(b) Find the
z
value corresponding to
x = 45.5.

(c) Find
P(x <>

(Round your answer to four decimal places.)


(d) Would it be unusual for a random sample of size 64 from the
x
distribution to have a sample mean less than 45.5? Explain.

A. Yes, it would be unusual because less than 5% of all such samples have means less than 45.5.

B. No, it would not be unusual because less than 5% of all such samples have means less than 45.5.

C. Yes, it would be unusual because more than 5% of all such samples have means less than 45.5.

D. No, it would not be unusual because more than 5% of all such samples have means less than 45.5.




Suppose x has a distribution with a mean of 50 and a standard deviation of 36. Random samples of size n = 64 are drawn.<br>In USE SALT<br>(a) Describe the x distribution and compute the mean and standard deviation of the distribution.<br>x has an approximately normal<br>distribution with mean u, = 50<br>and standard deviation o, = 4.5<br>(b) Find the z value corresponding to x = 45.5.<br>% =<br>(c) Find P(x < 45.5). (Round your answer to four decimal places.)<br>P(X < 45.5) =<br>(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 45.5? Explain.<br>O Yes, it would be unusual because less than 5% of all such samples have means less than 45.5.<br>O No, it would not be unusual because less than 5% of all such samples have means less than 45.5.<br>O Yes, it would be unusual because more than 5% of all such samples have means less than 45.5.<br>O No, it would not be unusual because more than 5% of all such samples have means less than 45.5.<br>

Extracted text: Suppose x has a distribution with a mean of 50 and a standard deviation of 36. Random samples of size n = 64 are drawn. In USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has an approximately normal distribution with mean u, = 50 and standard deviation o, = 4.5 (b) Find the z value corresponding to x = 45.5. % = (c) Find P(x < 45.5).="" (round="" your="" answer="" to="" four="" decimal="" places.)="" p(x="">< 45.5) = (d) would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 45.5? explain. o yes, it would be unusual because less than 5% of all such samples have means less than 45.5. o no, it would not be unusual because less than 5% of all such samples have means less than 45.5. o yes, it would be unusual because more than 5% of all such samples have means less than 45.5. o no, it would not be unusual because more than 5% of all such samples have means less than 45.5. 45.5)="(d)" would="" it="" be="" unusual="" for="" a="" random="" sample="" of="" size="" 64="" from="" the="" x="" distribution="" to="" have="" a="" sample="" mean="" less="" than="" 45.5?="" explain.="" o="" yes,="" it="" would="" be="" unusual="" because="" less="" than="" 5%="" of="" all="" such="" samples="" have="" means="" less="" than="" 45.5.="" o="" no,="" it="" would="" not="" be="" unusual="" because="" less="" than="" 5%="" of="" all="" such="" samples="" have="" means="" less="" than="" 45.5.="" o="" yes,="" it="" would="" be="" unusual="" because="" more="" than="" 5%="" of="" all="" such="" samples="" have="" means="" less="" than="" 45.5.="" o="" no,="" it="" would="" not="" be="" unusual="" because="" more="" than="" 5%="" of="" all="" such="" samples="" have="" means="" less="" than="">
Jun 11, 2022
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