Problem
Question 27 $1 \mathrm{pts}$ Say that the population mean for the average number of times an ASU downtown student rides the light rail in a month is 3 . You think that the number is much higher than that. You collect a sample of 25 ASU Downtown students and find that the sample average is 5.5 , with a standard deviation of 1.1. Conduct a hypothesis test to determine if the true mean is higher. Use a significance level of 0.05 . In the above hypothesis test, what is the alternative hypothesis? $\mathrm{H}_{1}: \mu>5.5$ $\mathrm{H}_{1}: \mu<5.5$ $\mathrm{H}_{1}: \mu>3$ $\mathrm{H}_{1}: \mu<3$ Question 28 $1 \mathrm{pts}$
Solution
Step 1 ：The question is asking for the alternative hypothesis in a hypothesis test. The alternative hypothesis is what you might believe to be true or hope to prove true. In this case, since we think that the number is much higher than the population mean of 3, the alternative hypothesis should be that the true mean is greater than 3.
Step 2 ：Final Answer: \(\boxed{H_{1}: \mu>3}\)
