SlackBoard, a company producing a Learning Management System (LMS), knows that their average user has historically spent about 75 minutes per day logged into their SlackBoard classes. They also know that time spent logged in is approximately normally distributed. A recent random sample of 52 accounts resulted in an average time of 109 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 a change in average individual use time per day. Conduct your test at a significance level of . Your hypotheses are:

• H₀: = 0 H_a: > 0
• H₀: = 75 H_a: 75
• H₀: = 75 H_a: < 75
• H₀: = 75 H_a: > 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

• Fail to reject H₀
• Reject H₀ and accept H_a

As such, the final conclusion is that

• There is significant evidence that suggests no change in average usage.
• There is significant evidence to suggest a changed average usage time per user.
• The usage times have not changed.
• There is not significant evidence to suggest a changed average usage time per user.