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- State the four conditions required for making regression inferences.Which of the following is the value necessary for rejection (or nonacceptance) of the null hypothesis? 1. The critical value 2. The obtained value 3. Type I error 4. Type II errorProve that the slope of the sample regression function (B2) is the blur of the assumption s of gauss Marko theorem are satisfied make sure to show all the steps and the underlying assumptions
- Years of Work Experience and number of Job Offers of 10 job-seekers were as follows: Work Exp. 4 2 5 3 7 12 2 5 4 9 No. of Offers 7 1 8 4 13 19 3 11 9 15 a. Fit the regression equation of No. of Job Offers on Years of Work Experience. b. What will be the predicted number of offers for an applicant with 6 years of experience? c. Verify the relationship between the number of job offers and years of work experience using at least two relevant methodsAn urban community wants to show that the incidence of breast cancer is higher in their locality than in a neighboring rural area. (PCB levels were found to be higher in the soil of the urban community). If you find that in the urban community 20 out of 200 adult women have breast cancer and that in the rural community 10 out of 150 adult women have it, could you conclude, at a significance level of 0.05, that breast cancer is more prevalent in the urban community?1. The parameter of interest is:2. The hypotheses for this test are:3. The calculated test statistic is:4. The critical region is:5. Draw the critical region (make decision):6. It can be concluded that:The vice-president of administration wonders whether employees are taking adequate amounts of vacation time. Employee burnout is a concern. Research suggests that an employee taking less than 1.4 weeks of vacation annually is very likely to experience burnout. Analyze the employee vacation data and conduct a hypothesis test with the following results: t = 2.93p = 0.0084 What reasons should the vice-president provide to the president to justify the recommendation on employee burnout? Based on the data, is the presence of employee burnout an issue that may negatively impact the company?
- Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. H0: μ=60 seconds H1: μ≠60 seconds B. H0: μ=60 seconds H1: μ<60 seconds C. H0: μ=60 seconds H1: μ>60 seconds D. H0: μ≠60 seconds H1: μ=60 seconds Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.)Suppose the simple linear regression model, Yi = β0 + β1 xi + Ei, is used to explain the relationship between x and y. A random sample of n = 12 values for the explanatory variable (x) was selected and the corresponding values of the response variable (y) were observed. A summary of the statistics is presented in the photo attached. Let b1 denote the least squares estimator of the slope coefficient, β1. What is the value of b1?(a) Calculate and write out the least-squares regression equation. (b) Calculate a 90% confidence interval for the slope ?1 of the regression. (c) Test the hypothesis that the altitude of origin affects the dark respiration rate. Write down the pair of hypotheses, specify the test statistic value or the P-value and state your conclusion of the test. Use ?=0.05 (d) For a batch of bugs collected at an altitude of 720 meters, what is the plausible range of the dark respiration rate? Provide an appropriate 95% interval (confidence interval or prediction interval). (e) What is the sample correlation coefficient?
- State a research question. Formulate the hypotheses. Determine the critical value(s).In the past, the mean running time for a certain type of flashlight battery has been 9.6 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has decreased as a result. A hypothesis test is to be performed. Determine the null and alternative hypotheses. A. H0: µ ¥ 9.6 hours and H1: µ = 9.6 hours B. H0: µ = 9.6 hours and H1: µ ¥ 9.6 hours C. H0: µ = 9.6 hours and H1: µ > 9.6 hours D. H0: µ = 9.6 hours and H1: µ < 9.6 hoursThe average drying time of a manufacturer’s paint is 20 minutes. Investigating the effectiveness of a modifica-tion in the chemical composition of her paint, the manu-facturer wants to test the null hypothesis μ = 20 minutes against a suitable alternative, where μ is the average dry-ing time of the modified paint. (a) What alternative hypothesis should the manufactureruse if she does not want to make the modification in thechemical composition of the paint unless it decreases thedrying time?(b) What alternative hypothesis should the manufactureruse if the new process is actually cheaper and she wants tomake the modification unless it increases the drying timeof the paint?