Suppose on a highway with a speed limit of 65 mph, the speed of cars are independent and normally distributed with an average speed = 65 mph and standard deviation = 5 mph. What is the standard deviation for the sample mean speed in a random sample of n = 100 cars?
Q. 2Explain what is meant by the power of a hypothesis test and suggest one way a researcher might change their study design to increase the power of the test.
Q. 3Suppose on a highway with a speed limit of 65 mph, the speed of cars are independent and normally distributed with an average speed = 65 mph and standard deviation = 5 mph. What is the expected value of the sample mean speed in a random sample of n = 100 cars?
Q. 4Explain what the statement of the alternative hypothesis represents in hypothesis testing. Give an example.
Q. 5Suppose on a highway with a speed limit of 65 mph, the speed of cars are independent and normally distributed with an average speed = 65 mph and standard deviation = 5 mph. What is the probability that the sample mean speed in a random sample of n = 10 cars exceeds 68 mph?
Q. 6Explain what the statement of the null hypothesis represents in hypothesis testing. Give an example.
Q. 7Suppose on a highway with a speed limit of 65 mph, the speed of cars are independent and normally distributed with an average speed = 65 mph and standard deviation = 5 mph. What is the standard deviation for the sample mean speed in a random sample of n = 10 cars?
Q. 8In an American criminal trial, the null hypothesis is that the defendant is innocent and the alternative hypothesis is that the defendant is guilty. Which of the following describes a Type 2 error for a criminal trial?
a. A guilty verdict for a person who is innocent.
b. A guilty verdict for a person who is not innocent.
c. A not guilty verdict for a person who is guilty
d. A not guilty verdict for a person who is innocent
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