### Hypothesis Testing for Mean Hours Worked by College GraduatesSome college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, μ, is less than 40 hours and wish to conduct a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 37 hours and that the standard deviation is 6 hours.Based on this information, answer the following questions below:#### Step 1: Formulate the Hypotheses**What are the null hypothesis ($H_0$) and the alternative hypothesis ($H_1$) that should be used for the test?**- Null Hypothesis ($H_0$): μ is (choose: not equal to, less than, greater than) 40- Alternative Hypothesis ($H_1$): μ is (choose: not equal to, less than, greater than) 40#### Step 2: Understanding Type I Error**In the context of this test, what is a Type I error?**- A Type I error is (choose: not rejecting, rejecting) the hypothesis that μ is (choose: not equal to, less than, greater than) 40 when, in fact, μ is (choose: not equal to, less than, greater than) 40.#### Step 3: Considering Errors in Decision Making**Suppose that we decide to reject the null hypothesis. What sort of error might we be making?**- (Choose: Type I Error, Type II Error)---**Explanation of Elements:**- **Null Hypothesis ($H_0$):** This is the statement that there is no effect or no difference, and it is assumed to be true until evidence indicates otherwise. In this context, we are testing whether the mean number of hours worked, μ, by college graduates is 40 hours.- **Alternative Hypothesis ($H_1$):** This is the statement that there is an effect or a difference. It indicates what we suspect to be true (i.e., the mean number of hours worked is less than 40).- **Type I Error:** This error occurs when we reject the null hypothesis even though it is true. For instance, concluding that the mean hours worked is not 40 hours when it actually is.-

The sampling errors arising while rejecting the null hypothesis (H0) when it is considered true or…

Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, p, is less than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 37 hours and that the standard deviation is 6 hours. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? Hi u is ? H;: µ is ? In the context of this test, what is a Type I error? A Type I error is ? v the hypothesis that u is ? ? v. when, in fact, u is ? Suppose that we decide to reject the null hypothesis. What sort of error might we be making? [?

Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, p, is less than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 37 hours and that the standard deviation is 6 hours. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? Hi u is ? H;: µ is ? In the context of this test, what is a Type I error? A Type I error is ? v the hypothesis that u is ? ? v. when, in fact, u is ? Suppose that we decide to reject the null hypothesis. What sort of error might we be making? [?

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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