Please give me numerical solutions of these questions. Thanks in advance for your help. Suppose that the distribution of height of female students inUniversity is normally distributed with mean =1.6 meters and o = 0.02meters. A sample of 100 female students drawn randomly from all thefemale students in University had an average height of 1.61 meters.(1) In this case, what are the population and sample, respectively?(2) Give the point estimate of the population mean.(3) Establish a 95 percent confidence interval for the population meanheight (= 1.6)(4) Are the population mean and variance random variables? Why? Arethe sample mean and variance random variables? Why?5. Give the definition of t-, F-, and x²-distribution.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that shopping times for customers at a local mall are normally distributed with known population standard deviation of 20 minutes. A random sample of 64 shoppers in the local grocery store had a mean time of 75 minutes. Find the standard error, margin of error, and the upper and lower confidence limits of a 95% confidence interval for the population mean, µ.
2. In a length of hospitalization study conducted by several cooperating hospitals, a random sample of 64 peptic ulcer patients was drawn from a list of all peptic ulcer patients ever admitted to the participating hospitals and the length of hospitalization per admission was determined for each. The mean length of hospitalization was found to be 8.25 days. The population standard deviation is known to be 3 days. Calculate a 95% confidence interval for the population mean, and explain the interpretation of this interval.
A researcher wishes to estimate the mean cholesterol value for a certain population. Determine the minimum sample size needed in order to obtain a 95 percent confidence interval with a margin of error of 3 units for the population mean. Assume the population variance is 60 and the original population is normal.
Suppose that for a random sample of 200 firms that revalued their fixed assets, the mean ratio of debt to tangible assets was 0.517 and the sample standard deviation was 0.148. For an independent random sample of 400 firms that did not revalue their fixed assets, the mean ratio of debt to tangible assets was 0.489 and the sample standard deviation was 0.158. Find a 99% confidence interval for the difference between the two population means.
A popular weight loss program claims that with its recommended healthy diet regimen, users lose significant weight within a month. In order to estimate the mean weight loss of all customers, a nutritionist takes a sample of 18 dieters and records their weight loss one month after joining the program. He computes the sample mean of weight loss as 12.5 pounds and the sample standard deviation of weight loss as 9.2 pounds. Compute the 90% confidence interval for the population mean. (Round to two decimal places.)
When calculating a confidence interval for one sample with a continuous outcome and the sample contains greater than 30 individuals, then a z-score should be used in place of a t-score. Is that true or false
The sample mean and the sample standard deviation of annual returns on a stock over a 12-year period as computed by a stock analyst were 18% and 12%, respectively. The analyst wantsto know if the risk, as measured by the standard deviation, differs from 15%.a. Construct a 90% confidence interval of the population variance and the population standarddeviation.b. What assumption is required in constructing the confidence interval?c. Based on the above confidence interval, does the risk differ from 15%
Suppose average pizza delivery times are normally distributed with an unknown population mean and a population standard deviation of six minutes. A random sample of 28 pizza delivery restaurants is taken and has a sample mean delivery time of 36 minutes. Find a 90% confidence interval estimate for the population mean delivery time.
A quality control manager wants to be sure that the standard deviation of oil containers is below a certain amount. He randomly selects 10 cans of oil with and finds they had a mean of 997 milliliters and a sample standard deviation of 32 milliliters. Use these sample results to construct a 95% confidence interval for the population standard deviation.

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