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 58 accounts resulted in an average time of 92 logged in per day with a standard deviation of 69 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 \( \alpha=0.01 \). Your hypotheses are: \( \begin{array}{l}H_{0}: \mu=75 \\ H_{0}: \mu>75 \\ H_{a}: \mu>0 \\ H_{0}: \mu=75 \\ H_{a}: \mu<75 \\ H_{0}: \mu=75 \\ H_{a}: \mu \neq 75 \\ \sigma\end{array} \) What is the test statistic for this test? test statistic \( =\square \) What is the p -value for this test? p-value \( =\square \) (Report answer accurate to 4 decimal places.)

Four scenarios of statistical studies are given below. Decide which study uses a population parameter. Answer 1000 of the 1883 participants in last year's Ironman in Kona, Hawail were interviewed. \( 68 \% \) of those interviewed said they became interested in triathlons after first ofmpeting in marathons. 351 dog owners who were surveyed, 70 reported owning two dogs. Parkland Hospital performs 15,000 births a year. Of 1000 subjects in a study on multiple births, 38 gave birth to twins. in \( 2001.78 \% \) of children diagnosed with cancer were in remission after five years, and this number is improving.

Scores on a test have a mean of 78 and a standard deviation of 13 . Tom has a score of 66 . Convert Tom's score to a \( z \)-score, rounded to the nearest hundredth.

Find the range of the following data set. Assume the data set is a sample.

The grades on the second statistics test for Ms. Rose's class are in the following list. Find the frequency distribution for the grades. B, B, A, D, D, D, D, C, C, D, F, D, D, D, D, B, C, B, F, F, C

Identify the population, the sample, and any population parameters or sample statistics in the given scenario. In the 1960 s, a poll of 2617 homeowners in the United States resulted in a report that the average price of a house in the U.S. was \( \$ 18,500 \). Answer O Population: none given: Sample: 2617 homeowners polled: Sample Statistic: \( \$ 18,500 \) Opopulation: U.S. homeowners: Sample: none given; Population Parameter: \( \$ 18,500 \)