1. True or False? If a study utilizes a simple random sampling method, that means each member of the population of interest was equally likely to be selected as a study participant. 2. True or False? Sensitivity and specificity are both forms of conditional probability.

3. True or False? The probability of an individual developing prostate cancer is independent of the sex of the individual.

4. True or False? A clinical trial studying the effects of new antibiotic, which is suspected to be a curative treatment for drug-resistant syphilis, is likely to demonstrate a binomial distribution.

5. True or False? A test used to measure the concentration of inflammatory markers in an individual’s blood is being researched. Assuming the test quantifies the concentration of the inflammatory markers in the blood and there are an infinite number of outcome possibilities, a study would likely demonstrate that the inflammatory markers for the population follow a normal, or non-normal, distribution pattern, depending on the results obtained from the study.

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?