Consider the following hypothesis test. Ho: #270 H₂:μ< 70 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a 0.01. (a) x = 68.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value= State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that μ< 70. O Do not reject Ho. There is insufficient evidence to conclude that μ< 70. O Reject Ho. There is insufficient evidence to conclude that μ< 70. O Reject Ho. There is sufficient evidence to conclude that μ< 70. (b) x=67 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value= State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that μ< 70. O Do not reject Ho. There is insufficient evidence to conclude that μ< 70. O Reject Ho. There s insufficient evidence to conclude that u < 70. O Reject He There is sufficient evidence to conclude that < 70.

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: # 270
H₂₂:μ< 70
A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01.
(a) x = 68.5
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Do not reject Ho- There is sufficient evidence to conclude that μ< 70.
O Do not reject Ho. There is insufficient evidence to conclude that µ < 70.
O Reject Ho. There is insufficient evidence to conclude that μ< 70.
O Reject Ho. There is sufficient evidence to conclude that µ < 70.
(b) x = 67
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value
State your conclusion.
O Do not reject Ho.
There is sufficient evidence to conclude that μ< 70.
O Do not reject Ho. There is insufficient evidence to conclude that μ< 70.
O Reject Ho. There is insufficient evidence to conclude that μ< 70.
O Reject Ho. There is sufficient evidence to conclude that μ< 70.
Transcribed Image Text:Consider the following hypothesis test. Ho: # 270 H₂₂:μ< 70 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01. (a) x = 68.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho- There is sufficient evidence to conclude that μ< 70. O Do not reject Ho. There is insufficient evidence to conclude that µ < 70. O Reject Ho. There is insufficient evidence to conclude that μ< 70. O Reject Ho. There is sufficient evidence to conclude that µ < 70. (b) x = 67 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that μ< 70. O Do not reject Ho. There is insufficient evidence to conclude that μ< 70. O Reject Ho. There is insufficient evidence to conclude that μ< 70. O Reject Ho. There is sufficient evidence to conclude that μ< 70.
(c) * = 655
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value
State your conclusion.
O Do not reject Ho. There is sufficient evidence to conclude that u < 70.
O Do not reject Ho. There is insufficient evidence to conclude that u < 70.
Reject Ho. There is insufficient evidence to conclude that μ< 70.
O Reject Ho. There is sufficient evidence to conclude that μ < 70.
(d) x = 73.5
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value
State your conclusion.
O Do not reject Ho. There is sufficient evidence to conclude that μ< 70.
O Do not reject Ho. There is insufficient evidence to conclude that μ< 70.
O Reject Ho. There is insufficient evidence to conclude that μ< 70.
O Reject Ho. There is sufficient evidence to conclude that μ< 70.
Transcribed Image Text:(c) * = 655 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that u < 70. O Do not reject Ho. There is insufficient evidence to conclude that u < 70. Reject Ho. There is insufficient evidence to conclude that μ< 70. O Reject Ho. There is sufficient evidence to conclude that μ < 70. (d) x = 73.5 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that μ< 70. O Do not reject Ho. There is insufficient evidence to conclude that μ< 70. O Reject Ho. There is insufficient evidence to conclude that μ< 70. O Reject Ho. There is sufficient evidence to conclude that μ< 70.
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