Problem 2 you want to rent an unfurnished one-bedroom apartment in boston next year. the mean monthly rent for a random sample of 10 apartments advertised in the local newspaper is $2534. assume that the standard deviation is $670. find the 90%, 95%, and 99% confidence intervals for the mean monthly rent for this category of apartments. look at the 95% confidence interval and say whether the following statement is true or false. "this interval describes the price of 95% of the rents of all the unfurnished one-bedroom apartments in the boston area." be sure to explain your answer. problem 3 a company manager wants to estimate the average length of phone calls in a call center for a tech support company. in a sample of 2500 calls, the mean duration is 163 seconds and the population standard deviation is 114 seconds. describe the distribution of this sample involving the sampling distribution of sampling means. problem 4 a newly developed smartphone app is designed to retrieve prices and scheduling information for airine flights. suppose we want to study how long it takes on average to retrieve this information. we record the processing time for 250 randomly selected flight searches. the sample statistics are: sample mean = 1.82 seconds and sample standard deviation = 0.24 seconds. choose the most typical value for c and provide the confidence interval.