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- et R2unrestricted and R2restricted be 0.54 and 0.30 respectively. The difference between the unrestricted and the restricted model is that you have imposed two restrictions. The number of regressors in the unrestricted model is 5. There are 500 observations. The F-statistic (under the assumption of homoskedasticity) in this case is 1. 4.61 2. 8.01 3. 98.5 4. 128.9PLS ANSWER Q5 and Q6Previous answer was poorly formated
- A salesman for a new manufacturer of cellular phones claims not only that they cost the retailer less but also that the percentage of defective cellular phones found among his products, ( p1 ), will be no higher than the percentage of defectives found in a competitor's line, ( p2 ). To test this statement, the retailer took a random sample of 130 of the salesman's cellular phones and 110 of the competitor's cellular phones. The retailer found that 10 of the salesman's cellular phones and 5 of the competitor's cellular phones were defective. Does the retailer have enough evidence to reject the salesman's claim? Use a significance level of α=0.05 for the test. Step 5 of 6 : Determine the decision rule for rejecting the null hypothesis H0 . Round the numerical portion of your answer to three decimal places.A salesman for a new manufacturer of cellular phones claims not only that they cost the retailer less but also that the percentage of defective cellular phones found among his products, ( p1 ), will be no higher than the percentage of defectives found in a competitor's line, ( p2 ). To test this statement, the retailer took a random sample of 185 of the salesman's cellular phones and 150 of the competitor's cellular phones. The retailer found that 22 of the salesman's cellular phones and 11 of the competitor's cellular phones were defective. Does the retailer have enough evidence to reject the salesman's claim? Use a significance level of α=0.05 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test.7. A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below.
- Researchers conducted a prospective cohort study to assess the association between dietary supplements and cognitive ability among children. A total of 500 children age 12-17 years who take an omega-3 fatty acid supplement are compared with 500 children age 12-17 years who do not take an omega-3 fatty acid supplement. Researchers follow the children for 2 years. During this time, 300 children who take the supplement earn what is classified as a “high” score on a cognitive test while 200 children who do not take the supplement earn what is classified as a “high” score on the same cognitive test. Show calculations. a) Construct a 2x2 table from the information presented above b) The risk difference is:The manager of a men’s clothing catalog measured the market’s response to a $6 decrease in the usual price of his company’s oxford shirts by conducting a sales experiment. An A-B split was used to divide the company’s 120,000-customer mailing list into two groups. Customers in the control group were sent catalogs listing oxford shirts at their usual price of $40. Customers in the test group were sent catalogs listing the price of oxford shirts at $32.80. During the period of the test, customers in the control group purchased 700 oxford shirts, and customers in the test group purchased 889 oxford shirts. What is the independent variable in this sales experiment? What is the dependent variable in this sales experiment? What is the percent change in price in this experiment? What is price elasticity indicated by the results of this experiment.10.61 The per-store daily customer count (i.e., the mean number of customers in a store in one day) for a nationwide convenience store chain that operates nearly 10,000 stores has been steady, at 900, for some time. To increase the customer count, the chain is considering cutting prices for coffee beverages. The question to be determined is how much to cut prices to increase the daily customer count without reducing the gross margin on coffee sales too much. You decide to carry out an experiment in a sample of 24 stores where customer counts have been running almost exactly at the national average of 900. In 6 of the stores, the price of a small coffee will now be $0.59, in 6 stores the price of a small coffee will now be $0.69, in 6 stores, the price of a small coffee will now be $0.79, and in 6 stores, the price of a small coffee will now be $0.89. After four weeks of selling the coffee at the new price, the daily customer count in the stores was recorded and stored in . At the 0.05…
- 18. Car and Taxi Ages When the author visited Dublin, Ireland (home of Guinness Breweryemployee William Gosset, who first developed the t distribution), he recorded the ages of randomlyselected passenger cars and randomly selected taxis. The ages can be found from thelicense plates. (There is no end to the fun of traveling with the author.) The ages (in years) arelisted below. We might expect that taxis would be newer, so test the claim that the mean age ofcars is greater than the mean age of taxis.Suppose that we want to compare the cholestrol contents of four competing diet foods on the basis of the following data (in milligrams per package) which were obtained for three 6-ounce packages of each of the diet foods: Diet food A: 3.6 4.1 4.0 Diet food B : 3.1 3.2 3.9 Diet food C: 3.2 3.5 3.5 Diet food D: 3.5 3.8 3.8 a) Fill in the blanks below. b) Test at the 0.05 level of significance whether the differences among means obtained for the four competing diet foods ( Diet A, B, C, D ) are significant? (Ftable=4.07) ONE-WAY ANOVA TABLE Source of Variation Degrees of Freedom Sum of Squares Mean Square F Treatments ? 0.54 ? ? Error ? ? ? Total ? 1.18A publisher reports that 50%50% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 240240 found that 45%45% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.