1. Formulate the null and the alternative hypothesis.a) A city had an unemployment rate of 7%. The mayor pledged to lower thisfigure and supported programs to decrease unemployment. A group ofcitizens wanted to test if the unemployment rate had actually decreased, sothey obtained a random sample of citizens to see what proportion of thesample was unemployed.b) A restaurant owner installed a new automated drink machine. The machineis designed to dispense 530 mL of liquid on the medium size setting. Theowner suspects that the machine may be dispensing too much in mediumdrinks. They decide to take a sample of 30 medium drinks to see the averageamount is significantly greater than 530 mL.

Answered: Image /qna-images/answer/dbdf0a27-b998-4120-8490-dbd24220d7e9.jpg

Answered: 1. Formulate the null and the…

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 average starting salary of students who graduated from colleges of Business in 2009 was $48,400.A sample of 100 graduates in 2010 showed an average starting salary of $50,000. Assume the standarddeviation of the population is known to be $8000. We want to determine whether or not there hasbeen a significant increase in the starting salaries.Step 1. Statement of the hypothesis Step 2. Standardized test statistic formula Step 3. State the level of significance Step 4. Decision Rule (Draw a bell to show rejection zone) Step 5. Calculation of the statistic Step 6. Conclusion
Recent revenue shortfalls in a southern state led to a reduction in the state budget for higher education. To offset the reduction, the largest state university proposed a 20%20% tuition increase. It was determined that such a large increase was needed to simply compensate for lost support from the state. Random samples of 100 freshmen, 100 sophomores, 100 juniors, and 100 seniors from the university were asked whether they were strongly opposed to the increase, given that it was the minimum increase necessary to maintain the university’s budget at current levels. The results are given in the table. Strongly opposed Freshman Sophomore Junior Senior Yes 78 72 58 36 No 22 28 42 64 What is the contribution to the chi‑square statistic from the cell of strongly opposed juniors? = 0.1551 =3 =9 =0.1475
Suppose your null hypothesis is that engineering majors earn more than $80,000. Further, researchers collect and analyze sample data that leads them to fail to reject this null hypothesis. However, in the population, it is true that engineering majors earn less than $80,000. What would we call this error? a. Type I error b. Type II error c. No error occured d. Error equal to the level of significance
Independent studies show that 26 out of 40 r/s full-time students favor a shorter semester system, while 38 out of 50 r/s part-time students favor the same. Construct a 98% c.i. for the difference between the overall percentage of full-time students favoring a shorter semester system and that of part-time students.
Answer A, B1, and B2: A. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. B. Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and a SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level…
In a lightbulb factory, an administrator selects a random sample of bulbs produced on assembly line A and a random sample of bulbs produced on assembly line B. The administrator calculates the proportion of malfunctioning bulbs produced by each assembly line and finds that the difference between them (A - B) is 0.008. A researcher conducted a hypothesis test with the following hypotheses: H0: The proportion of malfunctioning bulbs from assembly line A is the sample as the proportion of malfunctioning bulbs from assembly line B. HA: The proportion of malfunctioning bulbs from assembly line A is greater than the proportion of malfunctioning bulbs from assembly line B. She found a P-value of 0.016. What is the best interpretation of this P-value? a If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference of at least 0.008 is 0.016. b If there is a difference of 0.016 in the proportions…
1.Establish null and alternate hypothesis 2.Critical region 3.pvalue 4. Conclusion

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