Suppose that a sample of T=36 recent college graduates is used estimate the model y, = B+e,where y, is the hourly wage rate. We have: y = $22.2,o² = 36(a) Test whether the mean wage for recent college graduates is $20/hour at a = 1% (Be sure tostate the null and the alternative hypotheses, the test statistics, their distribution and d.f., andyour decision for this test).(b) Construct a 90% confidence interval estimation for B.

Given: Sample size (n) = 36 y¯=22.2σ2=36yt=β+etμy=20α=0.01 et ~ N (0, σ2=36)

Answered: nere y, is the hourly wage rate. We…

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 mean IQ for the entire population in any age group is known to be 100 with a standard deviation of 15. Suppose the IQ scores of 72 12th graders in Columbus are measured and the sample mean is found to be 103.4 and the sample standard deviation is 20.2. Do the scores provide good evidence that the mean IQ of this population is not 100? State the null (H0) and alternative (Ha) hypotheses. 2. What are the confidence intervals for this data? 3. What is the value of the test statistic? 4. What is the p-value for this data? 5. What is your decision about the null hypothesis?: Reject Fail to Reject 6. Summarize the conclusion in the context of the problem.
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Test marks are assumed to follow a normal distribution. The test marks of 25 randomly selected students yielded a 99% confidence interval for the population mean of: (40.6; 71.9). When using this confidence interval to test the hypothesis tha the mean is different from 60, which one of the following statements is false? A. Since 60 is included in the confidence interval, Ho is not rejected OB. Ho: H = 60 vs. H: p> 60 C. At the 1% level of significance there is insufficient evidence that the average test mark is not 60 D. This interval can only be used to test at the 1% level of significance E. This interval can only be used to test a two-sided hypothesis
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