State the null and alternative hypotheses in the following case: a)Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 20 seconds for one particular maze. A researcher thinks that playing rap music will cause the mice to complete the maze faster. She measures how long each of 12 mice takes with the rap music as a stimulus.

A student group claims that first-year students at a university must study 2.5 hours per night during the school week. A skeptic suspects that they study less than that on the average. A class survey finds that the average study time claimed by 269 students is xbar = 137 minutes. Regard these students as a random sample of all first year students and suppose we know that study times follow a Normal distribution with standard deviation 65 minutes. What conclusion would you draw?

A company that manufactures classroom chairs for high school students claims that the mean breaking strength of the chairs they make is 300 pounds. From years of production, they have seen that σ=15 pounds. One of the chairs collapsed beneath a 220 pound student last week. You wonder whether the manufacturer exaggerated the breaking strength of the chairs. a)State the null and alternative hypotheses b)Describe type 1 and type 11 error in this case. Which is more serious

What is the relationship between type 1 error and the significance level?

What is the relationship between power and the P-value?

A researcher reports that the average salary of assistant professors is more than $42,000. A sample of 30 assistant professors has a mean salary of $43,260. At α =.05, test the claim that assistant professors earn more than $42,000 a year. The standard deviation of the population is $5230.

The medical Rehabilitation Education Foundation reports that the average cost of rehabilitation for stroke victims is $24,672. To see if the average cost of rehabilitation is different at a particular hospital and finds that the average cost of their rehabilitation is $25,226. The standard deviation of the population is $3251. At α=.01, can it be concluded that the average cost of stroke rehabilitation at a particular hospital is different from $24,672