A random sample of size 26 is to be selected from a population that has a mean µ = 48 and a standard deviation o of 10. (a) This sample of 26 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution. skewed right O approximately normal O skewed left O chi-square (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) (c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)
A random sample of size 26 is to be selected from a population that has a mean µ = 48 and a standard deviation o of 10. (a) This sample of 26 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution. skewed right O approximately normal O skewed left O chi-square (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) (c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![A random sample of size 26 is to be selected from a population that has a mean µ = 48 and a standard deviation o of 10.
(a) This sample of 26 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution.
skewed right
approximately normal
skewed left
chi-square
(b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.)
(c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)
(d) What is the probability that this sample mean will be between 45 and 55? (Give your answer correct to four decimal places.)
(e) What is the probability that the sample mean will have a value greater than 52? (Give your answer correct to four decimal places.)
(f) What is the probability that the sample mean will be within 6 units of the mean? (Give your answer correct to four decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4cd1743-5058-47f1-879b-f9c267ec7c6e%2F3d38970c-cb59-4821-abca-029520492b76%2Fqrvktuc_processed.png&w=3840&q=75)
Transcribed Image Text:A random sample of size 26 is to be selected from a population that has a mean µ = 48 and a standard deviation o of 10.
(a) This sample of 26 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution.
skewed right
approximately normal
skewed left
chi-square
(b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.)
(c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)
(d) What is the probability that this sample mean will be between 45 and 55? (Give your answer correct to four decimal places.)
(e) What is the probability that the sample mean will have a value greater than 52? (Give your answer correct to four decimal places.)
(f) What is the probability that the sample mean will be within 6 units of the mean? (Give your answer correct to four decimal places.)
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