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
icon
Related questions
Question
100%
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.
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill