Information about a sample is given. Assume that the sampling distribution is symmetric and bell-shaped.r = 0.33 and the standard error is 0.05.(a) Indicate the parameter being estimated.=#:: <The parameter of interest is:>OeTextbook and MediaThe 95% confidence interval is iμ1p(b) Use the information to give a 95% confidence interval.:: μηAP₁:: pto iAP₂:: PiT:: P2:: p# x1

r=0.33, standard error S.E=0.05, C.I=95%

Answered: Information about a sample is given.…

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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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x¯ is found to be 50, and the sample standard deviation, S, is found to be 8. (Note: Population standard deviation is unknown) Construct a 98% confidence interval for μ if the sample size, n, is 20.
A normal population has a standard deviation of 10. The mean of a random sample of size 15 selected from the population is 52.5. Construct the 80% confidence interval for the population mean.
The average height of a population is unknown. A random sample from the population yields a sample mean of x¯=66.3 inches. Assume the sampling distribution of the mean has a standard deviation of σx¯=0.8 inches. Use the Empirical Rule to construct a 95% confidence interval for the true population mean height.
The speed of light is measured 25 times by a new procedure. The 25 measurements are recorded, and show no trend or pattern. The investigators work out the average and SD of the 25 measurements; the average is 299,789.2 kilometers per second and the SD is 12 kilometers per second. (Assume the Gauss model, with no bias.) It is assumed that all units are kilometers per second. Find an approximate 95%-confidence interval for the speed of light. Enter numeric answers for the lower and upper endpoints of the interval here; be sure to show your work. (a) The 95% confidence interval for the speed of light is to . (b) Now the investigators measure the speed of light a 26th time by the same procedure, and get 299,781 kilometers per second. Is this a surprising result? Answer yes or no, and explain your reason.
1. a. You want to estimate the mean hourly yield for a process that manufactures an antibiotic. You observe the process for 50 hourly periods chosen at random, with the results ?̅= 31 ounces per hour and ? = 3. Estimate the mean hourly yield for the process using a 90% and 95% confidence interval. no 2 di foto
A random sample size 49 is drawn from a distribution. The sample mean is 150. Suppose the distribution has a standard deviation 50. Compute 95% confidence ibterval of mean. Suppose the distribution is 40. Compute 95% confidence interval mean. Suppose the distribution has 30. Compute 95% confidence interval mean. Compare the margin of error for all 3, as the standard deviation decreases, does the margin of error decrease
The width of the confidence interval estimate of the population mean μ is a function of only two quantities: the population standard deviation σ and the sample size n
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To become an actuary, it is necessary to pass a series of 10 exams, including the most important one, an exam in probability and statistics. An insurance company wants to estimate the mean score on this exam for actuarial students who have enrolled in a special study program. They take a sample of 8 actuarial students in this program and find the mean of the sample is 6.0 with standard deviation of the sample 2.0. This sample will be used to calculate a 95% confidence interval for the mean score for actuarial students in the special study program. A 95% confidence interval for the mean score of actuarial students in the special program is from ________ to ________. Question 17 options: 1) 3.52 to 8.47 2) 4.69 to 7.31 3) 4.66 to 7.34 4) 4.33 to 7.67
To become an actuary, it is necessary to pass a series of 10 exams, including the most important one, an exam in probability and statistics. An insurance company wants to estimate the mean score on this exam for actuarial students who have enrolled in a special study program. They take a sample of 8 actuarial students in this program and find the mean of the sample is 6.0 with standard deviation of the sample 2.0. This sample will be used to calculate a 95% confidence interval for the mean score for actuarial students in the special study program. The critical value used in constructing a 95% confidence interval is ________. Question 16 options: 1) 1.8595 2) 3.4995 3) 2.3646 4) 1.8946
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A manufacturer must test that his bolts are 2.00 cm long when they come out of the manufacturing plant.He must recalibrate his machines if the bolts are too long or too short. After a simple random sample of100 bolts, he finds that the mean is 1.9 cm. He knows that the population standard deviation is 0.50 cm.Assuming a level of confidence of 95%, perform a hypothesis test

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