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Formulate and test a hypothesis to determine whether there is evidence to that there has been an increase in average individual use time per day. Conduct your test at a significance level of a = 0.05. Your

Formulate and test a hypothesis to determine whether there is evidence to that there has been an increase in average individual use time per day. Conduct your test at a significance level of a = 0.05. Your

MATLAB: An Introduction with Applications
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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SlackBoard, a company producing a Learning Management System (LMS) would like to know whether they need to run additional servers due to increased use of its LMS. SlackBoard knows that, historically, the average user spent about 75 minutes per day logged into their SlackBoard classes and that time spent logged in is approximately normally distributed. A recent random sample of 79 accounts resulted in an average time of 95 logged in per day with a standard deviation of 58 minutes per day. Formulate and test a hypothesis to determine whether there is evidence to that there has been an increase in average individual use time per day. Conduct your test at a significance level of a = 0.05. Your hypotheses are: O Họ: H = 75 Ha: p < 75 O Họ: H = 75 Hạ: µ > 75 O Ho: H = 75 Ha: p = 75 O Ho: H = 0 Hạ: p > 0 What is the test statistic for this test? test statistic = (Report answer accurate to 2 decimal places.) What is the p-value for this test? p-value = (Report answer accurate to 4 decimal places.) The decision reached is O Fail to reject Ho Reject H, and accept Ha As such, the final conclusion is that O The usage times have not changed. There is not significant evidence to suggest an increased average usage time per user. There is significant evidence to suggest an increased average usage time per user. O There is significant evidence that suggests no increase in average usage.
Transcribed Image Text:SlackBoard, a company producing a Learning Management System (LMS) would like to know whether they need to run additional servers due to increased use of its LMS. SlackBoard knows that, historically, the average user spent about 75 minutes per day logged into their SlackBoard classes and that time spent logged in is approximately normally distributed. A recent random sample of 79 accounts resulted in an average time of 95 logged in per day with a standard deviation of 58 minutes per day. Formulate and test a hypothesis to determine whether there is evidence to that there has been an increase in average individual use time per day. Conduct your test at a significance level of a = 0.05. Your hypotheses are: O Họ: H = 75 Ha: p < 75 O Họ: H = 75 Hạ: µ > 75 O Ho: H = 75 Ha: p = 75 O Ho: H = 0 Hạ: p > 0 What is the test statistic for this test? test statistic = (Report answer accurate to 2 decimal places.) What is the p-value for this test? p-value = (Report answer accurate to 4 decimal places.) The decision reached is O Fail to reject Ho Reject H, and accept Ha As such, the final conclusion is that O The usage times have not changed. There is not significant evidence to suggest an increased average usage time per user. There is significant evidence to suggest an increased average usage time per user. O There is significant evidence that suggests no increase in average usage.
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