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Asked Dec 13, 2019
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Suppose a simple random sample of size n= 49 is obtained from a population with u = 81 and o = 21.
(a) Describe the sampling distribution of x.
(b) What is P (x> 86.4)?
(c) What is P (xs74.4)?
(d) What is P (77.55 <x<87)?
%3D
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) Choose the correct description of the shape of the sampling distribution of x.
O A. The distribution is skewed right.
OB. The distribution is uniform.
C. The distribution is skewed left.
O D. The distribution is approximately normal.
E. The shape of the distribution is unknown.
Click to select your answer(s).
Type here to search
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Suppose a simple random sample of size n= 49 is obtained from a population with u = 81 and o = 21. (a) Describe the sampling distribution of x. (b) What is P (x> 86.4)? (c) What is P (xs74.4)? (d) What is P (77.55 <x<87)? %3D Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Choose the correct description of the shape of the sampling distribution of x. O A. The distribution is skewed right. OB. The distribution is uniform. C. The distribution is skewed left. O D. The distribution is approximately normal. E. The shape of the distribution is unknown. Click to select your answer(s). Type here to search

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II
Suppose a simple random sample of size n= 49 is obtained from a population with u = 81 and o = 21.
(a) Describe the sampling distribution of x.
(b) What is P (x> 86.4)?
(c) What is P (xs74.4)?
(d) What is P (77.55 <x<87) ?
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
Find the mean and standard deviation of the sampling distribution of x.
Hx
%3D
(b) P (x>86.4) =
(Round to four decimal places as needed.)
(c) P (xs74.4) =
(Round to four decimal places as needed.)
%3D
(d) P (77.55<x<87) =(Round to four decimal places as needed.)
Click to select your answer(s).
Type here to search
ASU
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II Suppose a simple random sample of size n= 49 is obtained from a population with u = 81 and o = 21. (a) Describe the sampling distribution of x. (b) What is P (x> 86.4)? (c) What is P (xs74.4)? (d) What is P (77.55 <x<87) ? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Find the mean and standard deviation of the sampling distribution of x. Hx %3D (b) P (x>86.4) = (Round to four decimal places as needed.) (c) P (xs74.4) = (Round to four decimal places as needed.) %3D (d) P (77.55<x<87) =(Round to four decimal places as needed.) Click to select your answer(s). Type here to search ASU

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Expert Answer

Step 1

According to the provided information,

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u = 81 =21 n = 49

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Step 2

A)

The sampling distribution of mean can be calculated as:

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X ~ N(µ,0°) X - N H, In 21 X ~ N 81,- V49 21 81,- X ~ N(81,3) Therefore, sampling distribution of mean follow normal distribution with µ=81 and o =3.

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Step 3

B)

The required probability ca...

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