Question: 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

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 67 accounts resulted in an average time of 95 logged in per day with a standard deviation of 41 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:

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

What is the test statistic for this test? test statistic = (Round 2 decimal places.) What is the p-value for this test? p-value = (Round to 4 decimal places.) The decision reached is

  • Fail to reject H0
  • Reject H0 and accept Ha

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