You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: µ = 100 H: µ # 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.05. (a) x = 104 and s = 11.6 Find the value of the test statistic. (Round your answer to three 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 insufficient evidence to conclude that u + 100. O Reject Ho. There is insufficient evidence to conclude that u # 100. O Reject Ho. There is sufficient evidence to conclude that u # 100. O Do not reject Ho. There is sufficient evidence to conclude that u + 100. (b) x = 95.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject H. There is insufficient evidence to conclude that u # 100. O Reject H. There is insufficient evidence to conclude that u + 100. O Reject H. There is sufficient evidence to conclude that p ± 100. O Do not reiect H There is sufficient evidence to conclude that u t 100

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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You may need to use the appropriate technology to answer this question.
Consider the following hypothesis test.
Ho: H = 100
H: µ + 100
A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.05.
(a) x = 104 and s = 11.6
Find the value of the test statistic. (Round your answer to three 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 insufficient evidence to conclude that u + 100.
O Reject Ho. There is insufficient evidence to conclude that u + 100.
O Reject Ho. There is sufficient evidence to conclude that p # 100.
O Do not reject Ho. There is sufficient evidence to conclude that u + 100.
(b) x = 95.5 and s = 11.0
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Do not reject H. There is insufficient evidence to conclude that u + 100.
O Reject Ho. There is insufficient evidence to conclude that u + 100.
O Reject H. There is sufficient evidence to conclude that u + 100.
O Do not reject H.. There is sufficient evidence to conclude that u + 100.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: H = 100 H: µ + 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a = 0.05. (a) x = 104 and s = 11.6 Find the value of the test statistic. (Round your answer to three 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 insufficient evidence to conclude that u + 100. O Reject Ho. There is insufficient evidence to conclude that u + 100. O Reject Ho. There is sufficient evidence to conclude that p # 100. O Do not reject Ho. There is sufficient evidence to conclude that u + 100. (b) x = 95.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject H. There is insufficient evidence to conclude that u + 100. O Reject Ho. There is insufficient evidence to conclude that u + 100. O Reject H. There is sufficient evidence to conclude that u + 100. O Do not reject H.. There is sufficient evidence to conclude that u + 100.
(c) x = 101 and s = 10.6
%3D
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Do not reject H,-
There is insufficient evidence to conclude that µ # 100.
Reject Ho-
There is insufficient evidence to conclude that u + 100.
Reject Ho-
There is sufficient evidence to conclude that u + 100.
O Do not reject Ho:
There is sufficient evidence to conclude that u + 100.
Transcribed Image Text:(c) x = 101 and s = 10.6 %3D Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject H,- There is insufficient evidence to conclude that µ # 100. Reject Ho- There is insufficient evidence to conclude that u + 100. Reject Ho- There is sufficient evidence to conclude that u + 100. O Do not reject Ho: There is sufficient evidence to conclude that u + 100.
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