Consider the following hypothesis test. Ho: H = 18 H3: u * 18 A sample of 48 provided a sample mean x = 17 and a sample standard deviation s = 4.3. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) -1.612 (b) Use the t distribution table to compute a range for the p-value. p-value > 0.200 0.100 < p-value < 0.200 O 0.050 < p-value < 0.100 O 0.025 < p-value < 0.050 O 0.010 < p-value < 0.025 O p-value < 0.010 (c) At a = 0.05, what is your conclusion? O Do not reject Ho. There is sufficient evidence to conclude that u + 18. O Do not reject Ho. There is insufficient evidence to conclude that u + 18. O Reject Ho. There is insufficient evidence to conclude that u + 18. O Reject Ho. There is sufficient evidence to conclude that u + 18. (d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.) test statistic < 2.012 test statistic 2 -2.012 What is your conclusion? O Do not reject Ho. There is sufficient evidence to conclude that u + 18. O Do not reject Ho. There is insufficient evidence to conclude that pu + 18. O Reject Ho. There is insufficient evidence to conclude that u + 18. O Reject Ho. There is sufficient evidence to conclude that u + 18.

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
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Consider the following hypothesis test.
Но: и 3D 18
На: и # 18
A sample of 48 provided a sample mean x = 17 and a sample standard deviation s =
4.3.
(a) Compute the value of the test statistic. (Round your answer to three decimal places.)
-1.612
(b) Use the t distribution table to compute a range for the p-value.
O p-value > 0.200
0.100 < p-value < 0.200
0.050 < p-value < 0.100
0.025 < p-value < 0.050
0.010 < p-value < 0.025
p-value < 0.010
( C ) At α -
0.05, what is your conclusion?
Do not reject Ho. There is sufficient evidence to conclude that u + 18.
Do not reject Ho. There is insufficient evidence to conclude that u + 18.
Reject Ho. There is insufficient evidence to conclude that u + 18.
Reject Ho. There is sufficient evidence to conclude that u + 18.
(d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.)
test statistic < 2.012
test statistic 2 -2.012
What is your conclusion?
Do not reject Ho. There is sufficient evidence to conclude that µ + 18.
Do not reject Ho. There is insufficient evidence to conclude that u + 18.
Reject Ho. There is insufficient evidence to conclude that µ # 18.
0'
Reject Ho. There is sufficient evidence to conclude that u + 18.
O O O O
O O O
O O
Transcribed Image Text:Consider the following hypothesis test. Но: и 3D 18 На: и # 18 A sample of 48 provided a sample mean x = 17 and a sample standard deviation s = 4.3. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) -1.612 (b) Use the t distribution table to compute a range for the p-value. O p-value > 0.200 0.100 < p-value < 0.200 0.050 < p-value < 0.100 0.025 < p-value < 0.050 0.010 < p-value < 0.025 p-value < 0.010 ( C ) At α - 0.05, what is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that u + 18. Do not reject Ho. There is insufficient evidence to conclude that u + 18. Reject Ho. There is insufficient evidence to conclude that u + 18. Reject Ho. There is sufficient evidence to conclude that u + 18. (d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.) test statistic < 2.012 test statistic 2 -2.012 What is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that µ + 18. Do not reject Ho. There is insufficient evidence to conclude that u + 18. Reject Ho. There is insufficient evidence to conclude that µ # 18. 0' Reject Ho. There is sufficient evidence to conclude that u + 18. O O O O O O O O O
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