a. The population size is infinite (to 2 decimals).b. The population size is N = 50,000 (to 2 decimals).c. The population size is N = 5000 (to 2 decimals).d. The population size is N = 500 (to 2 decimals).The budgeting process for a midwestern college resulted in expense forecasts for the coming year (in \$ millions) of \$9, \$10, \$11, \$12, and \$13. Because the actual expenses are unknown, the following respective probabilities are assigned: 0.28, 0.2, 0.2, 0.13, and 0.19.
Show the probability distribution for the expense forecast.
xf(x)910111213What is the expected value of the expense forecast for the coming year (to 2 decimals)? What is the variance of the expense forecast for the coming year (to 2 decimals)? If income projections for the year are estimated at \$12 million, how much profit does the college expect to make (report your answer in millions of dollars, to 2 decimals)?A simple random sample of 700 individuals provides 100 Yes responses.a. What is the point estimate of the proportion of the population that would provide Yes responses (to 2 decimals)? b. What is your estimate of the standard error of the proportion (to 4 decimals)? c. Compute the 95% confidence interval for the population proportion (to 4 decimals).( , )America’s young people are heavy Internet users; 87% of Americans ages 12 to 17 are Internet users (The Cincinnati Enquirer, February 7, 2006). MySpace was voted the most popular website by 9% in a sample survey of Internet users in this age group. Suppose 1,600 youths participated in the survey. What is the margin of error, and what is the interval estimate of the population proportion for which MySpace is the most popular website? Use a 95% confidence level and round your answers to 3 decimals. For interval estimate Enter your answer using parentheses and a comma, in the form (n1,n2). Do not use commas in your numerical answer (i.e. use 1200 instead of 1,200, etc.)
a. Using the Figure 5.3, select a tree diagram that shows this problem as a two-trial experiment. Here D: defective; G: not defective.
1. 2. 3. 4. Choose the Correct option from the above tree diagrams:Select1234Item 1
b. How many experimental outcomes result in exactly one defect being found?
c. Compute the probabilities associated with finding no defects, exactly one defect, and two defects (to 4 decimals).
P (no defects)P (1 defect)P (2 defects)Consider the following hypothesis test:H0: μ ≤ 50Ha: μ > 50A sample of 60 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use α = .05. a. With x = 52.5, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50?- Select your answer -YesNoItem 2b. With x = 51, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50?- Select your answer -YesNoItem 4c. With x = 51.8, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50?- Select your answer -YesNoItem 6In San Francisco, 30% of workers take public transportation daily (USA Today, December 21, 2005). In a sample of 7 workers, what is the probability that exactly three workers take public transportation daily (to 4 decimals including interim calculations)? In a sample of 7 workers, what is the probability that at least three workers take public transportation daily (to 4 decimals including interim calculations)?The following data on price (\$) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows.BrandPriceScoreBose18077Scullcandy16072Koss9567Phillips/O’Neill7058Denon7040JVC3527
a. Does the t test indicate a significant relationship between price and the overall score? The test t-Conclusion at α = .05t = (to 2 decimal places.)p-value is – Select your answer -less than .02between .02 and .05between .05 and .1between .1 and .2greater than .2Item 2
What is your conclusion? Use α = .05.- Select your answer -There is a significant relationship between price and overall scoreThere is no significant relationship between price and overall scoreItem 3 .
b. Test for a significant relationship using the F test. p-value is – Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .1greater than .1Item 4
What is your conclusion? Use α = .05.Because p-value is – Select your answer -greater than or equal toless than or equal toequal toItem 5 .05, we – Select your answer -acceptrejectItem 6 H0: β1 is – Select your answer -greater than or equal to zeroless than or equal to zeroequal to zeroItem 7 .
c. Show the ANOVA table for these data. Round your answers to three decimal places, if necessary.
Source of VariationSum of SquaresDegrees of FreedomMean SquareFp-valueRegression- Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .1greater than .1Item 12Error Total

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