Consider the following hypothesis test. Ho: HS 12 H: u > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.49. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. O p-value > 0.200 O 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 H. There is sufficient evidence to conclude that u > 12. O Reject H. There is insufficient evidence to conclude that u > 12. O Reject Ho. There is sufficient evidence to conclude that u > 12. O Do not reject H. There is insufficient evidence to conclude that u > 12. (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 s test statistic 2

Consider the following hypothesis test. Ho: HS 12 H: u > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.49. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) (b) Use the t distribution table to compute a range for the p-value. O p-value > 0.200 O 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 H. There is sufficient evidence to conclude that u > 12. O Reject H. There is insufficient evidence to conclude that u > 12. O Reject Ho. There is sufficient evidence to conclude that u > 12. O Do not reject H. There is insufficient evidence to conclude that u > 12. (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 s test statistic 2

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

Consider the following hypothesis test.
H: u > 12
A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.49.
(a) Compute the value of the test statistic. (Round your answer to three decimal places.)
(b) Use the t distribution table to compute a range for the p-value.
O p-value > 0.200
O 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 H.. There is sufficient evidence to conclude that u > 12.
O Reject H.. There is insufficient evidence to conclude that u > 12.
O Reject H,. There is sufficient evidence to conclude that u > 12.
O Do not reject H.. There is insufficient evidence to conclude that u > 12.
(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 <
test statistic 2

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