5.An average fee for an Information Technology Degree program at private universitiesin Malaysia is RM4081 for an academic year 2022-2023. Suppose that this mean isbased on a random sample of 100 universities and a sample standard deviation ofRM845.a) Make a 95% confidence interval for the corresponding population mean.b) Provide the interpretation for your answer obtained in 6(a).c) Find the margin errord) How can we reduce the margin error?

Given, Sample mean(x¯)=4081Sample size(n)=100Standard deviation(s)=845Significance Level(α)=0.05 We…

Answered: 5. An average fee for an Information…

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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The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1775 pounds and a standard deviation of 70 pounds. The company believes that, due to an improvement in the manufacturing process, the mean breaking strength, u, of the cables is now greater than 1775 pounds. To see if this is the case, 14 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1812 pounds. Assume that the population is normally distributed. Can we support, at the 0.10 level of significance, the claim that the population mean breaking strength of the newly- manufactured cables is greater than 1775 pounds? Assume that the population standard deviation has not changed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the…
Find the 95% confidence interval for estimating the population mean μ If sample mean X = 50, sample size n= 60 and population standard deviation σ is known to be 10.
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The breaking strengths of cables produced by a certain manufacturer have historically had a mean of 1775 pounds and a standard deviation of 60 pounds. The company believes that, due to an improvement in the manufacturing process, the mean breaking strength, μ, of the cables is now greater than 1775 pounds. To see if this is the case, 90 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1788 pounds. Can we support, at the 0.05level of significance, the claim that the population mean breaking strength of the newly-manufactured cables is greater than 1775 pounds? Assume that the population standard deviation has not changed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. a. State the null hypothesis H0 and the alternative hyposthesis H1. b. Find the value of the test statistic. c. Find the p-value. d. Can we…
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The mean score and standard deviation of the test scores of students in Section 208 of a statistics course are 25.4 and 4.85 respectively while the mean score and standard deviation of the test scores of students in Section 209 in the course are 22.3 and 4.85 respectively. a) Which section did better on average? b) In which section are students scores less varied ?
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2) The average life of a special rechargeable battery for a Calculator that performs 45 functions is 700 hours, with A standard deviation of 37 hours. A sample of 50 batteries is randomly selected, what percentage of the batteries will last more then 705 hours?
14.) A researcher would like to estimate the mean weight of all adult female American alligators in the Everglades. The mean weight of a random sample of 146 adult female American alligators from the Everglades was found to be 217 pounds. The standard deviation of the weights of all adult female American alligators in the Everglades is known to be 16 pounds.Using a 96% confidence level, determine the margin of error, EE, and a confidence interval for the mean weight of all adult female American alligators in the Everglades. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.The margin of error is given by E= ___A 96% confidence interval is given by ___
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Suppose that a sample of size 52 is drawn from a population with mean 23 and standard deviation 39 . Find the value of , the standard deviation of the distribution of sample means.

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