A local politician complains that the police have been writing too many speeding tickets and that the average driving speed is no more than 65 mph. The Chief of Police believes that the average speed is higher and obtains the following 9 random samples from automated speed monitoring devices: (69, 64, 70, 67, 68, 63, 68, 71,65) He then performs a hypothesis test using a (0.10) level of significance. Assume the data is normally distributed. Based on the police chief's claim that the average speed is strictly higher than 65 mph, circle the correct hypothesis for the police chief below (a or b):

a) The police chief's claim is a null hypothesis.

b) The police chief's claim is an alternative hypothesis

Calculate and state the sample mean and sample standard deviation:

Choose the type of score the chief will have to calculate:

Circle one: p-score, z-score, -score, t-score, or -score.

Next, he must find the p-value making sure he uses a right tail test.

Provide the final "p-value" to 3 decimal places the chief would have calculated for his hypothesis test:

After calculating the p-value, he then states his conclusion as: "Since our p-value is (high or low) we (reject, fail to reject, or accept) the (null or alternative) hypothesis". Circle one word from each of the choices inside the parentheses.

2.A student taking a true-false online test with 7 questions did not study and decides to guess for each answer. Assuming the student has a 50/50 chance of guessing correctly, what is the probability they will successfully guess at least 5 correct answers out of 7 questions? Show your Excel or Ti84 command for partial credit.

3.IQ is normally distributed with mean = 100 and standard deviation = 15. An individual is randomly chosen. Let X = IQ of an individual. State the calculator function or software command you used and the parameters you entered for full credit.

a) Find the probability that the person has an IQ more than 120.

b) Shade the area of the Normal Distribution below that would represent the answer to part (a) above. Label any relevant values.

4. Fox Mulder and Dana Scully have been assigned to investigate an FBI X-File in Cheney, Texas, a small town with population 1469. Scully wants to ascertain the proportion of residents who have been turned into Vampires with an error of no more than 10% and a 90% confidence interval. How many residents should Scully test? Show your work or specify your calculator inputs for full credit.