Consider a random variable X that is normally distributed. Complete parts (a) through (d) below (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) Skewed right Normal Skewed left Cannot be determined CETTE (b) If the mean of a random variable X is 55, what will be the mean of the sampling distribution of the sample mean? H = 55 (c) As the sample size n increases, what happens to the standard error of the mean? A. The standard error of the mean decreases. B. The standard error of the mean increases C. The standard error of the mean remains the same. (d) If the standard deviation of a random variable X is 10 and a random sample of size n = 21 is obtained, what is the standard deviation of the sampling distribution of the sample mean? -(Type an exact answer, using radicals as needed.)

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Consider a random variable X that is normally distributed. Complete parts (a) through (d) below.
(This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.)
Skewed right
Normal
Skewed left
Cannot be determined
(b) If the mean of a random variable X is 55, what will be the mean of the sampling distribution of the sample mean?
= 55
H =
(c) As the sample size n increases, what happens to the standard error of the mean?
A. The standard error of the mean decreases.
OB. The standard error of the mean increases
C. The standard error of the mean remains the same.
(d) If the standard deviation of a random variable X is 10 and a random sample of size n = 21 is obtained, what is the standard deviation of the sampling distribution of the sample mean?
(Type an exact answer, using radicals as needed.)
6-=
Transcribed Image Text:Consider a random variable X that is normally distributed. Complete parts (a) through (d) below. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) Skewed right Normal Skewed left Cannot be determined (b) If the mean of a random variable X is 55, what will be the mean of the sampling distribution of the sample mean? = 55 H = (c) As the sample size n increases, what happens to the standard error of the mean? A. The standard error of the mean decreases. OB. The standard error of the mean increases C. The standard error of the mean remains the same. (d) If the standard deviation of a random variable X is 10 and a random sample of size n = 21 is obtained, what is the standard deviation of the sampling distribution of the sample mean? (Type an exact answer, using radicals as needed.) 6-=
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