. A random sample of size 10 has been drawn from a normal population N (4, 0) andthe observations are found to be 60, 62, 63, 64, 65, 67, 68, 69, 70 and 72. Obtain an unbiased estimate ofo and a 95% confidence interval of u. Given that upper 2:5% point of t distribution with 9 degrees offreedom is 2-26.

Sample size n=108 degree of freedom = df = n - 1 = 9 tc= 2.26

Answered: . A random sample of size 10 has been…

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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10. In a survey, 500 adults in a certain country were asked how many hours they worked in the previous week. Based on the results, a 95% confidence interval for mean number of hours worked was lower bound: 40.4 and upper bound: 43.6. Which of the following represents a reasonable interpretation of the result? For those that are not reasonable, explain the flaw. Complete parts (a) through (d) below. (a) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 40.4 hours and 43.6 hours. A. Flawed. This interpretation implies that the population mean varies rather than the interval. B. Flawed. This interpretation makes an implication about individuals rather than the mean. O C. Flawed. This interpretation implies that the mean is only for last week. O D. Correct. This interpretation is reasonable. (b) We are 95% confident that the mean number of hours worked by adults in this country in the previous week was between 40.4 hours and…
Suppose that a randomly sampled GPA of STAT240 students are 2.8, 3.4 and 3.7 (n=3). The population size is 300 and normally distributed. a) Find the %90 confidence interval for the population variance. b) If the population mean is 3.0 and the population standard deviation is 1.5, what is the probability that sample mean is between 2.8 and 3.1?
Suppose X1....Xn is a sample of success and failure from a Bernoulli population with probability of success p.let Sigma X=290 with n= 400 then 90% confidence interval for p is
43. Independent random samples are selected from two populations. Below are selected summary statistics. Рop. Mean 73.00 Stand. Dev. Sample size 1 10.00 14 2 62.50 6.00 8 (a) Construct the 95% confidence interval for их — рү. (b) Obtain the P-value for the alternative
19
4. The following sample of numbers is chosen from a normally distributed population. 22, 25, 28, 30, 27 The 95% confidence interval for the population mean is (A) 26.4 + 1.0033 (B) 26.4 ± 1.3638 (C) 26.4 + 2.2435 (D) 26.4 + 2.6731 (E) 26.4 + 3.7860
4) a. A few mechanics on a Toyota showroom identified that they attend an average of (B+ A) cars per week. Assume the standard deviation is A. A random sample of 26 weeks was chosen. Find the 90% confidence interval for mean. b. Estimate the 95% confidence interval for the standard deviation if a research of (A + 8) Chocolate brands shows that the number of A calories as standard deviation for these Chocolate brands. Assume the variable is normally distributed. Note that: A is first two-digit number (before English alphabet letter) from your college ID. B is last four-digit number (after English alphabet letter) from your college ID. For example, if your MEC ID is 16F23451, then A = 16 and B 3451 %3D
5. Suppose that the heights (in inches) of adult males in Tanjung Malim are believed to be normally distributed with mean u. The average height of a random sample of 25 Malaysian adult males is found to be = 69.72 inches, and the standard deviation of the 25 heights is found to be s = 4.15. A 90% confidence interval for u is = A. 69.72 1.09 B. 69.72 ± 1.37 C. D. 69.72 ± 1.42 69.72 1.71
5. An electrical firm manufactures flashlight that have length of life that is normally distributed, with a standard deviation of 35 hours. If a random sample of 150 flashlights has a mean life of 480 hours, construct a 99% confidence interval for the mean of the flashlights produced by the firm.
) A random sample of size n = 6 is selected from a normal population, with 12) the sample variance s? = .18. Determine a confidence interval for the population variance o? with a confidence level of 98 percent.
3. The life in hours of a 75-watt light bulb is known to be normally distributed with σ = 25 hours. Arandom sample of 20 bulbs has a mean life of 1014 hours. Determine the lower limit of the 99%confidence interval on the mean life.
Question 1A sports shop selects a random sample and records the sales of items made in China and thosemade in America. Country of Origin n Mean Std. DeviationChina 50 22.5 9.75America 33 33.15 11.6a) What is the SE Mean for the sales from China? b) Calculate a 95% confidence interval for the mean sales amount made in America

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