The CDC classifies an adult as "obese" if BMI ≥ 30. Based on the data from the 2010 survey, a 95% confidence interval for the proportion of all adults living in the US that were obese in 2010, p2010, is (0.276, 0.278). Based on the data from the 2000 survey, a 95% confidence interval for the proportion of all adults living in the US that were obese in 2000, p2000, is (0.195, 0.199). (a) Interpret both confidence intervals. (3points) (b) Do you think the sample size for the 2000 survey was smaller or larger than the sample size for the 2010 survey? Why? (3 points) (c) The confidence interval for the difference in proportions, p2010 − p2000, based on the two sets of survey data is (0.049, 0.111). Interpret this interval. (3 points)

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Given f(x)= 9x+1 and g(x)=x^3, choose the expression (f*g)(x)

(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?