av Question 33- of 40 Step 1 of 1 You are given the following set of observations for the predictor variablex and the response variable y, as shown in the image. The computed coefficient of determination will be X Y -3 7 -1 4 1 5 2 -1 -1.2373 0.649 34407 -0.8061 02:29:12 Tables Keypad Keyboard Shortcuts > Next
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- The 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?A pharmaceutical company has developed a drug that is expected to reduce hunger. To test the drug, three samples of rats are selected with n=9 in each sample. The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). The dependent variables is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. Fill in all missing values in the table. (Hint: Start with the df column.) S.S. d.f. M.S. F Between 4.36 Within 3.71 TOTAL Use the =FDIST(∙) function in Excel or the pf(∙) function in R to locate the p-value for this ANOVA:p-value = Report answer accurate to at least 4 decimal places.If you use a significance level of α=.05, what would you conclude about these treatments? There is a significant difference between treatments These data do not provide…Is there a significant difference on the ratings of the respondents on X11 when grouped according to X2? Statement of the Problem: Is there a significant difference on Productline – X11 when grouped according to Industry Type – X2? Null Hypothesis: There is no significant difference on Productline – X11 when grouped according to Industry Type – X2. Note: The coding for Industry Type is 0 for Magazine Industry and 1 for Newsprint Industry. interpret the T-Test results
- Consider a regression analysis with n = 47 and three potential independent variables. Suppose that one of the independent variables has a correlation of 0.95 with the dependent variable. Does this imply that this independent variable will have a very large Student’s t statistic in the regression analysis with all three predictor variables?4) A medical researcher is interested in determining if there is a relationship between adults over 50 who exercise regularly and low, moderate, and high blood pressure. A random sample of 236 adults over 50 is selected and the results are given below. Test the claim that regular exercise and low, moderate, and high blood pressure are independent. Use alpha= 0.01 Blood pressure: Reg exercise: low 35, moderate 62, high 25 No reg. Exercise: low 21, moderate 65, high 28 A producer of mobile phones claims that 20% of all mobile phone users prefer its product. To test the claim, a random sample of 151 mobile phone users is selected and it turns out that 28 prefer the producer’s brand. Do the data provide sufficient evidence that the production of mobile phone users who prefer the producer’s brand is less than 0.20? Test, using ? = 0.01.