Academic advising: In 2014, the Community College Survey of Student Engagement reported that 32% of the students surveyed rarely or never use academic advising services. Suppose that in reality, 42% of community college students rarely or never use academic advising services at their college. In a simulation we select random samples from this population.

For each sample we calculate the proportion who rarely or never use academic advising services.

If we randomly sample 200 students from this population repeatedly, the standard error is approximately 3.5%.

Is it unusual to see 32% who rarely or never use academic advising services in one of these samples?

A. Yes, this is unusual because 32% is 2.9 standard errors below 42%. It is very rare for a sample to be nearly three standard errors from the mean.

B. Yes, this is unusual because 32% is 10% lower than 42%.

C. No, this is unusual because the error is only 10%.

D. No, this is unusual because 32% is 2.9 standard errors below 42%.

(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?