A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 111, and the sample standard deviation, s,is found to be 9.(a) Construct a 98% confidence interval about u if the sample size, n, is 24.(b) Construct a 98% confidence interval about if the sample size, n, is 17.(c) Construct a 90 confidence interval about ji if the sample size, n, is 24.(d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed?(a) Construct a 98% confidence interval about p if the sample size, n, is 24.Lower bound 105.8 Upper bound: 162(Round to one decimal place as needed.)

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Answered: A simple random sample of size'n is…

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 10 subjects finds that the sample mean is 56 and the standard deviation is 4. Find the 98% confidence interval for u. Display the result in interval notation. You must round your result to decimal places. Remember that the information you have is from a small sample, you must use the t distribution. Remember that critical values can be calculated in EXCEL using the degrees of freedom (n-1) and the level of significance (I - C) as a function of T.INV 2T (Level of Significance, Degrees of Freedom) Select one: a. The interval is: (53,057, 58,943) b. The range is: (53,521, 58,479). c. The interval is: (51,080, 60,920) d. The interval is: (51.991, 60.009) e. The interval is: (52,431, 59,569)
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A random sample of 24 items is drawn from a population whose standard deviation is unknown. The sample mean is = 870 and the sample standard deviation iss= 25. Use Appendix D to find the values of Student's t. %3D (a) Construct an interval estimate of u with 98% confidence. (Round your answers to 3 decimal places.) The 98% confidence interval is from to (b) Construct an interval estimate of u with 98% confidence, assuming that s = 50. (Round your answers to 3 decimal places.) %3D The 98% confidence interval is from to (c) Construct an interval estimate of u with 98% confidence, assuming that s = 100. (Round your answers to 3 decimal places.) The 98% confidence interval is from to (d) Describe how the confidence interval changes as s increases. O The interval stays the same as s increases. < Prev 6 of 10 Next
The sample mean and standard deviation from a random sample of 29 observations from a normal population were computed as ?¯=23x¯=23 and s = 6. Calculate the t statistic of the test required to determine whether there is enough evidence to infer that the population mean is greater than 21. Test Statistic =
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A sample of 66 night-school students' ages is obtained in order to estimate the mean age of night-school students. x = 24.7 years. The population variance is 18. (a) Give a point estimate for u. (Give your answer correct to one decimal place.) (b) Find the 95% confidence interval for u. (Give your answer correct to two decimal places.) Lower Limit Upper Limit (c) Find the 99% confidence interval for u. (Give your answer correct to two decimal places.) Lower Limit Upper Limit
X. is found to be 19.1, and the A simple random sample of sizen is drawn from a population that is normally distributed. The sample mean, sample standard deviation, s, is found to be 4.9. (a) Construct a 96% confidence interval about u if the sample size, n, is 39. (b) Construct a 96% confidence interval about u if the sample size, n, is 68. How does increasing the sample size affect the margin of error, E? (c) Construct a 98% confidence interval about u if the sample size, n, is 39. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 14, what conditions must be satisfied to compute the confidence interval? (a) Construct a 96% confidence interval about u if the sample size, n, is 39. Lower bound: Upper bound: (Round to two decimal places as needed.) (b) Construct a 96% confidence interval about u if the sample size, n, is 68. Lower bound: ; Upper bound: (Round to two decimal places as needed.) How does increasing the sample…
Why should a confidence interval for p fall between (0, 1) while it makes sense for a confidence interval for Pi - p2 to fall between (-1, 1)?
A random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is x=920 and the sample standard deviation is s=25. Use Appendix D to find the values of student's t
The distribution of heights of a certain breed of terrier has a mean of 71 centimeters and a standard deviation of 9 centimeters, whereas the distribution of heights of a certain breed of poodle has a mean of 29 centimeters with a standard deviation of 5 centimeters. Assuming that the sample means can be measured to any degree of accuracy, find the probability that the sample mean for a random sample of heights of 64 terriers exceeds the sample mean for a random sample of heights of 100 poodles by at most 44.2 centimeters. What is the probability? Round to four decimals. Use standard normal distribution table.
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The human resources department of a consulting firm gives a standard creativity test to a randomly selected group of new hires every year. This year, 65 new hires took the test and scored a mean of 113.2 points with a standard deviation of 13.4. Last year, 100 new hires took the test and scored a mean of 116.8 standard deviation of 14.6. Assume that the population standard deviations of the test scores of all new hires in the current year and the test scores of all new hires last year can be estimated by the sample standard deviations, as the samples used were quite large. Construct a 95% confidence interval points with for 4-, the difference between the mean test score u, of new hires from the current year and the mean test score , of new hires from last year. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of…

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