Consider the following hypothesis test. Ho: μ = 22 H₂: μ#22 A sample of 75 is used and the population standard deviation is 10. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01. (Round your test statistics to two decimal places and your p-value to four decimal places.) (a) x = 23 Find the value of the test statistic. Find the p-value. p-value= State your conclusion. O Reject Ho. There is insufficient evidence to conclude that μ* 22. O Do not reject Ho. There is sufficient evidence to conclude that μ # 22. O Reject Ho. There is sufficient evidence to conclude that μ # 22. O Do not reject Ho. There is insufficient evidence to conclude that # # 22. (b) x = 25.2 Find the value of the test statistic. Find the p-value. p-value= State your conclusion. O Reject Ho. There is insufficient evidence to conclude that μ* 22. Do not reject Ho. There is sufficient evidence to conclude that # # 22. O Reject Ho. There is sufficient evidence to conclude that μ* 22. O Do not reject Ho. There is insufficient evidence to conclude that μ # 22.
Consider the following hypothesis test. Ho: μ = 22 H₂: μ#22 A sample of 75 is used and the population standard deviation is 10. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01. (Round your test statistics to two decimal places and your p-value to four decimal places.) (a) x = 23 Find the value of the test statistic. Find the p-value. p-value= State your conclusion. O Reject Ho. There is insufficient evidence to conclude that μ* 22. O Do not reject Ho. There is sufficient evidence to conclude that μ # 22. O Reject Ho. There is sufficient evidence to conclude that μ # 22. O Do not reject Ho. There is insufficient evidence to conclude that # # 22. (b) x = 25.2 Find the value of the test statistic. Find the p-value. p-value= State your conclusion. O Reject Ho. There is insufficient evidence to conclude that μ* 22. Do not reject Ho. There is sufficient evidence to conclude that # # 22. O Reject Ho. There is sufficient evidence to conclude that μ* 22. O Do not reject Ho. There is insufficient evidence to conclude that μ # 22.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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![Consider the following hypothesis test.
Ho: μ = 22
H₂:μ # 22
A sample of 75 is used and the population standard deviation is 10. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (Round your test statistics to two decimal places and your p-values
to four decimal places.)
(a) x = 23
Find the value of the test statistic.
Find the p-value.
p-value =
State your conclusion.
O Reject Ho. There is insufficient evidence to conclude that μ # 22.
O Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 22.
O Reject Ho. There is sufficient evidence to conclude that μ # 22.
O Do not reject Ho. There is insufficient evidence to conclude that μ # 22.
(b) x = 25.2
Find the value of the test statistic.
Find the p-value.
p-value =
State your conclusion.
O Reject Ho. There is insufficient evidence to conclude that μ # 22.
O Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 22.
O Reject Ho. There is sufficient evidence to conclude that μ # 22.
O Do not reject Ho. There is insufficient evidence to conclude that μ ‡ 22.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2aa83a5e-19ce-4d29-a413-454523ed5fbb%2F20fe01cb-64c9-4efa-9626-e6fa5e9f61f9%2Fk0z0rnv_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following hypothesis test.
Ho: μ = 22
H₂:μ # 22
A sample of 75 is used and the population standard deviation is 10. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (Round your test statistics to two decimal places and your p-values
to four decimal places.)
(a) x = 23
Find the value of the test statistic.
Find the p-value.
p-value =
State your conclusion.
O Reject Ho. There is insufficient evidence to conclude that μ # 22.
O Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 22.
O Reject Ho. There is sufficient evidence to conclude that μ # 22.
O Do not reject Ho. There is insufficient evidence to conclude that μ # 22.
(b) x = 25.2
Find the value of the test statistic.
Find the p-value.
p-value =
State your conclusion.
O Reject Ho. There is insufficient evidence to conclude that μ # 22.
O Do not reject Ho. There is sufficient evidence to conclude that μ ‡ 22.
O Reject Ho. There is sufficient evidence to conclude that μ # 22.
O Do not reject Ho. There is insufficient evidence to conclude that μ ‡ 22.
![(c) x = 20
Find the value of the test statistic.
Find the p-value.
p-value =
State your conclusion.
Reject Ho. There is insufficient evidence to conclude that μ # 22.
O Do not reject Ho. There is sufficient evidence to conclude that μ # 22.
Reject Ho. There is sufficient evidence to conclude that μ # 22.
Do not reject Ho. There is insufficient evidence to conclude that μ # 22.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2aa83a5e-19ce-4d29-a413-454523ed5fbb%2F20fe01cb-64c9-4efa-9626-e6fa5e9f61f9%2Fnudbeii_processed.png&w=3840&q=75)
Transcribed Image Text:(c) x = 20
Find the value of the test statistic.
Find the p-value.
p-value =
State your conclusion.
Reject Ho. There is insufficient evidence to conclude that μ # 22.
O Do not reject Ho. There is sufficient evidence to conclude that μ # 22.
Reject Ho. There is sufficient evidence to conclude that μ # 22.
Do not reject Ho. There is insufficient evidence to conclude that μ # 22.
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