A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 250 and a standard deviation of 60. If an applicant is randomly selected, find the probability of a rating that is between 275 and 315. SHOW YOUR WORK (1 mark) Include a graph with the appropriate area highlighted (1 mark) Clearly write the probability statement or write a meaningful statement of your answer (1 mark) Answer: Number Round to 4 decimal places. Which of the following statements about the sampling distribution of the sample mean is incorrect? The mean of the sampling distribution is u. The sampling distribution is generated by repeatedly taking samples of size n and computing the sample means. O The standard deviation of the sampling distribution is o. The sampling distribution is approximately normal whenever the sample size is sufficiently large (n 30)