A random sample of size 30 is to be selected from a population that has a mean u = 54 and a standard deviation a of 11. (a) This sample of 30 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution. O skewed right O approximately normal skewed left chi-square (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) 54 (c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.) 2.01 (d) What is the probability that this sample mean will be between 45 and 52? (Give your answer correct to four decimal places.) 0.8414 (e) What is the probability that the sample mean will have a value greater than 49? (Give your answer correct to four decimal places.) .9936 to of the mean? (Give your answer correct to four decimal places.)
A random sample of size 30 is to be selected from a population that has a mean u = 54 and a standard deviation a of 11. (a) This sample of 30 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution. O skewed right O approximately normal skewed left chi-square (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) 54 (c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.) 2.01 (d) What is the probability that this sample mean will be between 45 and 52? (Give your answer correct to four decimal places.) 0.8414 (e) What is the probability that the sample mean will have a value greater than 49? (Give your answer correct to four decimal places.) .9936 to of the mean? (Give your answer correct to four decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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![A random sample of size 30 is to be selected from a population that has a mean u = 54 and a standard deviation o of 11.
(a) This sample of 30 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution.
O skewed right
O approximately normal
skewed left
chi-square
(b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.)
54
(c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)
2.01
(d) What is the probability that this sample mean will be between 45 and 52? (Give your answer correct to four decimal places.)
0.8414
(e) What is the probability that the sample mean will have a value greater than 49? (Give your answer correct to four decimal places.)
.9936
Lof the mean? (Give your answer correct to four decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1752b7ce-27a7-48ef-9219-0389f0490c9b%2Fc81cf97b-4dbf-4d50-a3d9-aa66361b51de%2Fkvka6j5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A random sample of size 30 is to be selected from a population that has a mean u = 54 and a standard deviation o of 11.
(a) This sample of 30 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution.
O skewed right
O approximately normal
skewed left
chi-square
(b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.)
54
(c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)
2.01
(d) What is the probability that this sample mean will be between 45 and 52? (Give your answer correct to four decimal places.)
0.8414
(e) What is the probability that the sample mean will have a value greater than 49? (Give your answer correct to four decimal places.)
.9936
Lof the mean? (Give your answer correct to four decimal places.)
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