For question 3 I only need help with letters: C & D please.

For all questions in this Module: keep at least FOUR(4) decimals in your calculations. Round only your FINAL answer to the number of decimals specified in each problem. When there is nothing specified, report your answer to two (2) decimal places. 1. Confidence Interval Given. Assume I created a 95% confidence interval for the mean hours studied for a test based on a random sample of 64 students. The lower bound of this interval was 7.4038 and the upper bound was 16.5962. Assume that when I created this interval I knew the population standard deviation. Using this information, answer the following questions. Report your answers to FOUR decimal places. (a) Calculate the width of the interval. (b) Calculate the margin of error for the interval. (c) Calculate the center of the interval. (d) What is the sample mean? (e) What is the z* (or Za/2) used? (f) Calculate the population standard deviation. [Do not use the Empirical Rule.]3. Jethro's BBQ Food 'Iruck. Jethro's BBQ is a local chain of restaurants located at central Iowa. Bruce, the owner of the restaurant located at Ames, is thinking about expanding his business using a food truck that would be located during weekdays at the ISU campus. One important aspect for the planning of such project is to determine what would be a reasonable price range for the food. The prices need to be appealing and affordable for college students and at the same time be high enough so the food truck ends up being protable The rst goal Bruce sets is to determine how much money on average ISU students spend buying lunch during weekdays. Bruce spent a morning asking students all around campus how much money they spend on buying lunch during weekdays. He got an answer from 87 students yielding to an average daily spend of $10.56. Bruce found out that ve years ago ISU conducted a very complete study on students spending, and the standard deviation back then for daily spend on lunch was $1.78. Bruce assumed the standard deviation has not changed, (a) In the context of this problem, what does it represent? Select ONE correct answer. i. n represents the average amount of money these 87 ISU students spend buying lunch during weekdays, ii. [i represents the average amount of money ISU students spend buying lunch during weekdays. iii. [.1 represents the standard deviation of money these 87 ISU students spend buying lunch during weekdays iv. n represents the standard deviation of money ISU students spend buying lunch during weekdays. (b) In the context of this problem, would z critical Values or t critical values be more appro- priate? i. 2 critical values would sufce in this case since our standard deviation is \"known.\" ii. t critical values would su'ice in this case since our standard deviation is unknown. iii. 2 critical values would be more appropriate since our sample size is large enough. iv. t critical values would be more appropriate since our sample size is not large enough, (c) Calculate the upper bound for a 90% condence interval, for the unknown population mean, ,u, by answering the following questions below. Round to two decimal places i. Find the appropriate critical value (Give your answer to 2 decimal places) ii. What is the value of the upper bound of the 90% condence interval? (Round your answer to 2 decimal places), ((1) Similarly, now calculate a 85% condence interwl for the unknown population mean, u. i. Find the positive zscore (z') for the corresponding condence level. (Round your answer to 2 decimal places), ii. Find the lower and the upper bound of the condence interval, (Round your answer to 2 decimal places). iii. Which of the following represents a correct interpretation of the 85% condence interval for p. in the context of the problem? Select ALL correct answers. 2 A, If we take 100 samples and calculate 85% condence intervals for each, we expect 85 out of the 100 intervals to contain the average amount of money ISU students spend buying lunch during weekdays. B. We are 85% condent that the sample mean of how much the 87 ISU students sampled spend buying lunch during weekdays ($10.56) falls between $1029 and $10.83. C, There is a 85% chance the sample mean of how much the 87 ISU students sampled spend buying lunch during weekdays ($10.56) falls between $10.29 and $10.83. D, We are 85% condent that the average amount of money ISU students spend buying lunch during weekdays falls between $1029 and $10.83. iv. Suppose that the amount of money spend buying lunch during weekdays by all ISU students does not follow a Normal distribution. Is the condence interval trustwortth That is, do you think you can really be 85% condent? Select ONE correct answer. A, Yes, because the population is normally distributed then the sampling distribution of sample mean is sure to be normal regardless of sample size. B, No, because the population is not normally distributed then the sampling distribu- tion of sample mean is not normal neither. C, Yes. Although the population isn't normally distributed we do have a large enough sample size for the CLT to apply, D. No, because the population is not normally distributed and the sample size is not large enough to apply CLT. 4. Homes for Sale A real estate agent is interested in the current housing prices in a particular neighborhood in New York. A random sample of 41 homes for sale in the neighborhood was taken and the current listed price of each home was recorded. The data can be found in the JMP le \"HomesForSaleNY-F2020.jmp\". (a) Use JMP to obtain the value of the sample mean i. (Round your answer to the nearest 2 decimal places.) (b) Use JMP to obtain the value of the sample standard deviation 3. (Round your answer to the nearest 2 decimal places.) (0) Report the degrees of freedom associated with the t-distribution required to construct a condence interval for the mean for these data. (d) Based on your answer in (c), what is the value of t' for the 90% condence interval for the mean price of homes (in thousands of dollars)? (Obtain 73" from the t-table (table D), accurate to 3 decimal places.) (e) What is the margin of error for the above 90% condence interval? (Round your answer to the nearest 2 decimal places.) (f) Calculate the 90% condence interval for the mean price of homes (in thousands of dollars), using your answers from parts (a)-(d). Answer this question by answering the questions below