t to determine whether or not the mean of the population from whic ate the null and the alternative hypotheses. (Enter != for as need * etermine the test statistic. (Round your answer to three decimal plac
t to determine whether or not the mean of the population from whic ate the null and the alternative hypotheses. (Enter != for as need * etermine the test statistic. (Round your answer to three decimal plac
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
![You are given the following information obtained from a random sample of 4 observations.
24 48 31 57
You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.)
(a) State the null and the alternative hypotheses. (Enter != for # as needed.)
Ho:
H₂:
(b) Determine the test statistic. (Round your answer to three decimal places.)
(c) Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that the mean of the population is different from 49.
O Reject Ho. There is insufficient evidence to conclude that the mean of the population is different from 49.
O Do not reject Ho. There is insufficient evidence to conclude that the mean of the population is different from 49.
O Do not reject Ho. There is sufficient evidence to conclude that the mean of the population is different from 49.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18f4a9fa-e484-44fa-89e7-1aa82d1098b7%2Fa4aeaeb6-b3cf-4719-a70b-faf77c685b49%2Fxg02tuw_processed.png&w=3840&q=75)
Transcribed Image Text:You are given the following information obtained from a random sample of 4 observations.
24 48 31 57
You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.)
(a) State the null and the alternative hypotheses. (Enter != for # as needed.)
Ho:
H₂:
(b) Determine the test statistic. (Round your answer to three decimal places.)
(c) Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that the mean of the population is different from 49.
O Reject Ho. There is insufficient evidence to conclude that the mean of the population is different from 49.
O Do not reject Ho. There is insufficient evidence to conclude that the mean of the population is different from 49.
O Do not reject Ho. There is sufficient evidence to conclude that the mean of the population is different from 49.
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