11 . The mean price of mid-sized cars in a region is $32,000. A test is conducted to see if the claim is true. State the Type I and Type II errors in complete sentences. 12 . A sleeping bag is tested to withstand temperatures of -15 F. You think the bag cannot stand temperatures that low. State the Type I and Type II errors in complete sentences. 13 . For #12, what are and in words? 14 . In words, describe 1 - For #12. 15 . A group of doctors is deciding whether or not to perform an operation. Suppose the null hypothesis, H0, is: the surgical procedure will go well. State the Type I and Type II errors in complete sentences. 16 . A group of doctors is deciding whether or not to perform an operation. Suppose the null hypothesis, H0, is: the surgical procedure will go well. Which is the error with the greater consequence? 17 . The power of a test is 0.981. What is the probability of a Type II error? 18 . A group of divers is exploring an old sunken ship. Suppose the null hypothesis, H0, is: the sunken ship does not contain buried treasure. State the Type I and Type II errors in complete sentences. 19 . A microbiologist is testing a water sample for E-coli. Suppose the null hypothesis, H0, is: the sample does not contain E-coli. The probability that the sample does not contain E-coli, but the microbiologist thinks it does is 0.012. The probability that the sample does contain E-coli, but the microbiologist thinks it does not is 0.002. What is the power of this test? 20 . A microbiologist is testing a water sample for E-coli. Suppose the null hypothesis, H0, is: the sample contains E-coli. Which is the error with the greater consequence? 9.3 Distribution Needed for Hypothesis Testing 21 . Which two distributions can you use for hypothesis testing for this chapter? 22 . Which distribution do you use when you are testing a population mean and the population standard deviation is known? Assume a normal distribution, with n 30. 23 . Which distribution do you use when the standard deviation is not known and you are testing one population mean? Assume sample size is large. 24 . A population mean is 13. The sample mean is 12.8, and the sample standard deviation is two. The sample size is 20. What distribution should you use to perform a hypothesis test? Assume the underlying population is normal. 25 . A population has a mean of 25 and a standard deviation of five. The sample mean is 24, and the sample size is 108. What distribution should you use to perform a hypothesis test?