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MATLAB: An Introduction with Applications

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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To test Ho: o = 4.2 versus H₁: o #4.2, a random sample of size n = 17 is obtained from a population that is known to
be normally distributed.
(a) If the sample standard deviation is determined to be s=4.9, compute the test statistic.
(b) If the researcher decides to test this hypothesis at the a= 0.01 level of significance, use technology to determine
the P-value
(c) Will the researcher reject the null hypothesis?
(a) The test statistic is x =
(Round to two decimal places as needed.)
xample Get more help.
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A random sample of size n=13 obtained from a population that is normally distributed results in a sample mean of 45.2 and sample standard deviation 12.6. An independent sample of size n=19 obtained from a population that is normally distributed results in a sample mean of 52.4 and sample standard deviation 14.2. Does this constitute sufficient evidence to conclude that the population means differ at the α=0.10 level of significance? Find the Test Statistic
In a lake pollution study, the concentration of lead in the upper sedimentary layer of a lake bottom is measured from 25 sediment samples. The sample mean and the standard deviation of the measurements are found to be 0.38 and 0.06, respectively. Suppose Ho : u = 0.34 H1: u# 0.34 (a) State Type I and Type Il errors. (b) Conduct a hypothesis test at 0.01 level of significance by doing the seven-step classical approach. (please show all seven steps, formulas, calculations and the curve)
a) Find the F-test statistic to test the claim that the variances of the two populations are equal. Both distributions are normal. The populations are independent. The standard deviation of the first sample is 2.6282.6681 is the standard deviation of the second sample. B) Find the F-test statistic to test the claim that the population variances are equal. Both distributions are normal. The standard deviation of the first sample is 4.15966.3763 is the standard deviation of the second sample.
Data provided by the National Association of College Employers indicated that the average starting salary for graduates with a Bachelors Degree in Accounting was $37,000 in 2008. In June 2010 a sample of 48 graduating accounting majors provided a sample average starting salary of $38,100, with a sample standard deviation of $5200. Conduct a hypothesis test to determine if it can be assumed that accounting graduates in 2010 had higher average salaries than graduates in 2008, using α = .05.
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Scores on an IQ test are normally distributed. A sample of 25 IQ scores had variance of 64. The developer of the test claims that the population standard deviation is 15. Do these data provide sufficient evidence to significance? Use α=0.05α=0.05 . Answer the following questions. (a) What is the parameter? . (input as "mean", "standard deviation", "variance" or "proportion") (b) Determine if the alternative hypothesis is "right", "left" or "two-tailed" test. (input as "right", "left" or "two-tailed") (c) Test by using a confidence interval. Round confidence interval to nearest thousandth. (e.g. 0.1345 would be entered as 0.135) between ( and ) (d) State conclusion.: There is (input as "sufficient" or "insufficient") to (input as "conclude" or "reject") to conclude that the population standard deviation of IQ test is 15.
A nutritionist claims that the mean tuna consumption by a person is 3.2 pounds per year. A sample of 80 people shows that the mean tuna consumption by a person is 2.9 pounds per year. Assume the population standard deviation is 1.23 pounds. At α=0.07, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. (b) Identify the standardized test statistic. z= (c) Find the P-value.
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