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 56 accounts resulted in an average time of 105 logged in per day with a standard deviation of 68 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 = 0.1. Your hypotheses are: O Họ: H = 0 Hạ: p > 0 O Họ: µ = 75 H3: p< 75 O Họ: µ = 75 Hạ: p = 75 O Họ: µ = 75 Hạ: p > 75 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 O Reject Ho and accept Ha As such, the final conclusion is that O There is significant evidence to suggest an increased average usage time per user. O There is not significant evidence to suggest an increased average usage time per user. O The usage times have not changed. O There is significant evidence that suggests no increase in average usage.
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 56 accounts resulted in an average time of 105 logged in per day with a standard deviation of 68 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 = 0.1. Your hypotheses are: O Họ: H = 0 Hạ: p > 0 O Họ: µ = 75 H3: p< 75 O Họ: µ = 75 Hạ: p = 75 O Họ: µ = 75 Hạ: p > 75 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 O Reject Ho and accept Ha As such, the final conclusion is that O There is significant evidence to suggest an increased average usage time per user. O There is not significant evidence to suggest an increased average usage time per user. O The usage times have not changed. O There is significant evidence that suggests no increase in average usage.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 56 accounts resulted in an
average time of 105 logged in per day with a standard deviation of 68 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 = 0.1. Your
hypotheses are:
O Họ: H = 0
Ha: p > 0
Ο Ηρ: μ- 75
Hạ: p< 75
Ο Hρ: μ- 75
H2: p = 75
O Họ: H = 75
Hạ: p > 75
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 Ho and accept Ha
As such, the final conclusion is that
O There is significant evidence to suggest an increased average usage time per user.
O There is not significant evidence to suggest an increased average usage time per user.
O The usage times have not changed.
O There is significant evidence that suggests no increase in average usage.
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