E Login for Azure X Enter | 2022 Ble X M BXOMAlune (34 X G WHERE clause X G There can be a X G the only reserve X GERS A5-F22.pdf X + V X -> C * PDF Viewer | chrome-extension://oemmndcbudboiebfnladdacodfmadadm/https://brightspace.nyu.edu/d21/common/viewFile.d2lfile/Database/... " A t 2 3 2 + ABTOMaTN4ecKN Problem 4 (12) Use Minitab or R to carry out the simulation described below and submit the screenshot of at least first 5 rows, where each row consists of 13 entries: a random sample of size 9, the sample mean, the left and right endpoint of a 95% confidence interval for a population mean u, and 0/1 indicator for whether the confidence interval contains u (1) or not (0.) Consider a normal distribution with mean u = 10 and standard deviation 0 = 3. a) Generate 1000 samples of size 9 from the above distribution. For each sample find its sample mean x. (2) b) Obtain the histogram of the sample means and descriptive statistics for the sample means. (2) c) What does the theory say about the shape of the distribution of the sample means? Is the theory confirmed by your simulation? (1) d) What does the theory say about MY =the mean and of =standard deviation of the distribution of sample means? Is the theory confirmed by your simulation? (2) e) Use each sample mean to construct a 95% confidence interval for / assuming that you know that o = 3. What is percentage of your confidence intervals that contain / = 10? What does theory say about this percentage? Is the percentage that you found consistent with the theory? (3) image2.jpeg image1.jpeg image0.jpeg nokasatb Bce X RU LO GO W CA 19:10 P3 Rain ... 23.10.2022E Login for Azure X Enter | 2022 Ble X M BXOMAlune (34 X G WHERE clause X G There can be a X G the only reserve X GERS A5-F22.pdf X + V X -> C * PDF Viewer | chrome-extension://oemmndcbudboiebfnladdacdfmadadm/https://brightspace.nyu.edu/d21/common/viewFile.d2lfile/Database/... C X A t 2 N3 2 + ABTOMaThyecKN Problem 5 (7) Suppose that in a random sample of size 16 from a population of scores on an aptitude test, the sample mean is 15 and sample standard deviation is 3. Assume that population scores have a normal distribution. a) Construct a 90% confidence interval for an unknown population mean score. (3) b) Suppose that a mistake was made and 3 is a population standard devi- ation, not a sample standard deviation. Based on this information construct a 90% confidence interval for a population mean. (3) c) Compare the confidence intervals obtained in a) and b). What would be the advantage of knowing the population standard deviation when con- structing a small sample confidence for a population mean? (Explain) (1) 2 image2.jpeg image1.jpeg image0.jpeg nokasatb Bce X RU LO GO P3 W 19:10 Rain... 23.10.2022E Login for Az X Enter | 2022 X M BXOAAllne ( X G WHERE clat X G There can b X Gthe only res X M BXOAALNe (X M Pics to prob X + V X -> C mail.google.com/mail/u/0/#inbox/FMfcgzGqRGXdGmxHGPINSRvkPmSPsQzh?projector=1&messagePartld=0.1 A ... 7 NYU Hon X Videos a x | 4 Recitation x 4 Recitation x 6 5 - Deriv X 6 5 - Deriv: x | MindTap X | |MFEI_F2: X M Bryteway x Statistics X + image1.jpe C * platform.virdocs.com/r/s/0/doc/2228295/sp/281210322/mi/820793607?cfi=%25(> >ZF2965BP700101756000000000000000000719%50%2F72%5B.. ( * * Is : ERYU L Shot Welcome to RedShelf eReader! X 1.56.28 Just getting started? Head over to our partner support page for a guide on the basics. 99+ ,611 C mail.google.com/mail/u/0/#inbox/FMfcgzGqRGXdGmxHGPINSRvkPmSPsQzh?projector=1&messagePartld=0.1 A . . . M Gm NYU Welcome to RedShelf elleadert Just getting started? Head over to our partner suspect nage for a guide on the basics. X 99+ F 4,611 Com researchers? Q 321 Mail c. Use the information in the table to estimate the + - 9 0 population mean number of hours spent shopping on Inbo Black Friday with a 95% confidence interval. Chat d. Give a practical interpretation of the interval. Starr Data for Exercise 6.180 O Snoo Spaces Sent 4 Draf Meet V More Labels worst. Vol Jo. Na. J. J014 e. A retail store advertises that the true mean number of Enable hours spent shopping on Black Friday is 5.5 hours. Can the store be sued for false advertising? Explain. image2.jpeg image1.jpeg image0.jpeg nokasatb Bce X RU LO B O P3 W 19:19 Rain off and on 23.10.2022Login for Azure X Enter | 2022 Ble X M BXOMALune (34 X G WHERE clause X G There can be a X G the only reserve X GERS A5-F22.pdf X + V X -> C * PDF Viewer | chrome-extension://oemmndcbudboiebfnladdacdfmadadm/https://brightspace.nyu.edu/d21/common/viewFile.d2lfile/Database/... C X A t 1 N13 2 + ABTOMaTN4ecKN Problem 1 (10) The weekly sales, X, of a brand-name kitchen cleanser at a supermarket are believed to be normally distributed with mean 2,550 bottles and a stan- dard deviation of 415 bottles and independent from week to week. Consider the mean weekly sales, X, in a random sample of 100 weekly sales. a) What is the distribution of X? (1) b) What is the mean and the standard deviation of the distribution of X? (2) c) What is the probability that X > 2, 200? (2) d) What is the probability that X > 2, 200? (2) e) What accounts for a difference in your answers to c) and d)? (1) Problem 2 (4) MBS, Ex 6.16 on page 320 Domestic production incentives a) 3 b) 1 Problem 3 (7) MBS, Ex 6.18 on page 320 Shopping on Black Friday. a ) 1 image2.jpeg image1.jpeg image0.jpeg nokasatb Bce X LO GO RU P 3 W CA 19:09 J . Rain... 23.10.2022