You may need to use the appropriate appendix table or technology to answer this question. After deducting grants based on need, the average cost to attend the University of Southern California (USC) is $27,175. Assume the population standard deviation is $7,400. Suppose that a random sample of 50 USC students will be taken from this population. (a) What is the value of the standard error of the mean? {Round your answer to the nearest whole number.) 9p: (b) What is the probability that the sample mean will be more than $27,175? E (c) What is the probability that the sample mean will be within $1,000 of the population mean? (Round your answer to four decimal places.) E (d) What is the probability that the sample mean will be within $1,000 of the population mean if the sample size were increased to 100? (Round your answer to four decimal places.) S You may need to use the appropriate appendix table or technology to answer this question. A production process is checked periodically by a quality control inspector. The inspector selects simple random samples of 45 nished products and computes the sample mean product weights 2 If test results over a long period of time show that 5% ofthe xvalues are over 5.1 pounds and 5% are under 4.9 pounds, what are the mean and the standard deviation (in lb) for the population of products produced with this process? (Round your answer for the standard deviation to two decimal places.) E lb standard deviation |: lb