(b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) Using a = 0.05, state your conclusion. O Reject Ho. There is sufficient evidence to conclude that u < 20. Reject Ho. There is insufficient evidence to conclude that u < 20. Do not reject Ho. There is sufficient evidence to conclude that u < 20. Do not reject Ho. There is insufficient evidence to conclude that u < 20. (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unuse test statistic s test statistic > State your conclusion. O Reject Ho. There is sufficient evidence to conclude that u < 20. O Reject Ho. There is insufficient evidence to conclude that u < 20. O Do not reject Ho. There is sufficient evidence to conclude that u < 20. O Do not reject Ho. There is insufficient evidence to conclude that u < 20.

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
Question

Only need question B and D 

You may need to use the appropriate appendix table or technology to answer this question.
Consider the following hypothesis test.
Ho: H 2 20
На: и < 20
A sample of 50 provided a sample mean of 19.5. The population standard deviation is 2.
(a) Find the value of the test statistic. (Round your answer to two decimal places.)
|-1.77
(b) Find the p-value. (Round your answer to four decimal places.)
p-value
%3D
(c) Using a =
0.05, state your conclusion.
Reject Ho. There is sufficient evidence to conclude that u < 20.
Reject Ho. There is insufficient evidence to conclude that µ < 20.
Do not reject Ho. There is sufficient evidence to conclude that u < 20.
Do not reject Ho. There is insufficient evidence to conclude that u < 20.
(d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)
test statistic <
test statistic 2
State your conclusion.
Reject Ho. There is sufficient evidence to conclude that u < 20.
Reject Ho. There is insufficient evidence to conclude that u < 20.
Do not reject Ho. There is sufficient evidence to conclude that u < 20.
Do not reject Ho.
There is insufficient evidence to conclude that u < 20.
O O O O
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. Ho: H 2 20 На: и < 20 A sample of 50 provided a sample mean of 19.5. The population standard deviation is 2. (a) Find the value of the test statistic. (Round your answer to two decimal places.) |-1.77 (b) Find the p-value. (Round your answer to four decimal places.) p-value %3D (c) Using a = 0.05, state your conclusion. Reject Ho. There is sufficient evidence to conclude that u < 20. Reject Ho. There is insufficient evidence to conclude that µ < 20. Do not reject Ho. There is sufficient evidence to conclude that u < 20. Do not reject Ho. There is insufficient evidence to conclude that u < 20. (d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic < test statistic 2 State your conclusion. Reject Ho. There is sufficient evidence to conclude that u < 20. Reject Ho. There is insufficient evidence to conclude that u < 20. Do not reject Ho. There is sufficient evidence to conclude that u < 20. Do not reject Ho. There is insufficient evidence to conclude that u < 20. O O O O
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