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- The management of the Seaside Golf Club regularly monitors the golfers on its course for speed of play. Suppose a random sample of golfers was taken in 2005 and another random sample of golfers was selected in 2006. The results of the two samples are as follows: 2005 2006 x1= 225 x2= 219 s1= 20.25 s2= 21.70 n1= 36 n2= 31 Based on the sample results, can the management of the Seaside Golf Course conclude that the average speed of play was different in 2006 than in 2005? Conduct the appropriate hypothesis test at the 0.10 level of significance. Assume that the management of the club is willing to accept the assumption that the populations of playing times for each year are approximately normally distributed.A U.S. Food Survey showed that Americans routinely eat beef in their diet. Suppose that in a study of 49 consumers in Illinois and 64 consumers in Texas the following results were obtained from two samples regarding average yearly beef consumption: Illinois Texas = 49 = 64 = 54.1lb = 60.4lb S1 = 7.0 S2 = 8.0 Formulate a hypothesis so that, if the null hypothesis is rejected, we can conclude that the average amount of beef eaten annually by consumers in Illinois is significantly less than that eaten by consumers in Texas.Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go") so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that of its customers order their food to go. Suppose that this proportion is correct and that a random sample of individual customers is taken. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
- Assume the variance of IBM is .16 and the variance of Microsoft is .25. If the variance of an equallyweighted portfolio of these stocks is .0525, then the covariance between these stock is?1.1 The alternative hypothesis is: H1: CVD and Enrollment Site are dependent. H1: The correlation between CVD and Site is zero. H1: CVD and Enrollment Site are independent. H1: The covariance between CVD and Enrollment Site is negative. H1: The covariance between CVD and Site is zero. H1: The covariance between CVD and Enrollment Site is positive. 1.2 Under independence, calculate the expected number of patients with a family history of CVD, at Hospital 2. 1.3 A necessary condition to perform the hypothesis test is: The observed frequencies must be at least 5. The expected frequencies must be at least 5. The expected frequencies must be at least 30. The cell χ2-values must be at least z0.975=1.96. The row and column totals must be at least 3030. The cell χ2-values must be at least z0.95=1.645. The observed frequencies must be at least 30. The sample size must be at least 30. 1.4 Since the critical value is - we have sufficient evidence - the null hypothesis at α=0.01 level of…a) If a store runs out of advertised material during a sale,customers become upset, and the firm loses not only the sale, butalso goodwill. From past experience, a record store finds that themean number of albums sold in a sale is 845, the variance is 225,and that a histogram of the demand appears mound shaped. Themanager is willing to accept a 2.5% chance that an album will besold out. About how many albums should the manager order for anupcoming sale? b) The yield of a variety ofwheat was measured on a series of small plots. The 2nd and 98thpercentile was found to be 29 bushels/acre and 41 bushels/acrerespectively. What is the standard deviation (bushels/acre)?
- Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go") so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 45% of its customers order their food to go. Suppose that this proportion is correct and that a random sample of 50 individual customers is taken. Answer the following. (a) Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.Consider the following datax -5 -4 -3 -2 -1 0 1 2 3 4 5Y - 125 - 64 - 27 -8 -1 0 1 8 27 64 125a. Calculate the correlation between x and y, and perform a hypothesis test to determine if the correlation is significantly greater than zero. Use a significance level of 5%.b. Are you willing to conclude that there is a strong linear association between the two variables? Use at least one graph to support your answer, and to explain why or why not.Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go") so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 48% of its customers order their food to go. Suppose that this proportion is correct and that a random sample of 50 individual customers is taken. A) Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. B) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places
- A company manager wants to compare the satisfaction levels of his customers from two stores belonging to his company. According to his research, 249 out of 300 people are satisfied with shop A, and 348 out of 400 people are satisfied with shop B. Which of the following hypothesis states that there is a significant difference between customer satisfaction levels? H0 : P1 < P2, H1 : P1 ≥ P2 H0 : P1 ≥ P2, H1 : P1 < P2 H0 : P1 > P2, H1 : P1 < P2 H0 : P1 = P2, H1 : P1 ≠ P2 H0 : P1 ≠ P2, H1 : P1 < P2From the analysis of wages paid to employees in two service organizations X and Y, the following were obtained: Organization X Organization YNumber of wage earners 550 650Average monthly earnings 5,000 4,500Variance of the distribution of wages 900 1600 (i) Which organization pays a larger amount as monthly wages? (ii) In which organization is there greater variability in individual wages of all the wage earners taken together?Which of these is true for the control group in an experiment? a.) It is not exposed to the factor under consideration and all other external influences are held constant. b.) It is exposed to the factor under consideration and all other external influences are varied. c.) It is not exposed to the factor under consideration and all other external influences are varied. d.) It is exposed to the factor under consideration and all other external influences are held constant.