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1. Sixto Sanchez is the owner of Suburban Stylists. He is evaluating the service level provided to walk-in customers. Because he is enrolled in an MBA program at Eastern University, Sixto decides to sample walk-in customers for the next two weeks. He collects information from 82 walk-in customers and calculates that their average waiting times that is 21 minutes with a standard deviation of 4 minutes. a)Determine the degrees of freedom to be used in further analysis. b)Calculate the two sided 95% confidence interval for the population mean of waiting times. c)Calculate the two sided 90% confidence interval for the population mean of waiting times. d)Calculate the two sided 99% confidence interval for the population mean of waiting times. e)What t table value should be used in calculating a two sided 95% confidence interval for the population mean of waiting times if the sample selected is 25 instead of 82? 2. Bay Area Community College (BACC) has collected data comparing the starting salaries of their graduating students with last names beginning with the letters A through M with those whose last names begin with N through Z. The first category provided 47 random responses with an average starting salary of $29,426.42 and a standard deviation of $4,521.94. The second category had 52 random responses with an average starting salary of $22,863.81 and a standard deviation of $2,378.66. a)If you assume that last names should not have an impact on starting salary of graduates of BACC, then what is the appropriate null hypothesis?b)State the research hypothesis in words and in notation.c)Calculate the appropriate test statistic.d)Calculate the appropriate p-value for the test statistic.e)Is the statistic statistically significant?f)What type of error if any has been committed?3. Plymouth Rock Securities is interested in finding out if there is a relationship between the number of new clients brought into the firm by a broker and the sales performance of the broker. A random sample of 11 brokers' records are reviewed to determine the number of new clients enrolled last year and total sales in millions of dollars: Broker 1 2 3 4 5 6 7 8 9 10 11Clients 27 11 42 33 15 15 25 36 28 30 17Sales, mce_markernbsp; 52 37 64 55 29 34 58 59 44 48 31a)How closely related is the new client base to sales performance? Draw the scatterplot and compute the correlation and describe the relationshipb)Find the least-squares equation to predict sales from number of clients. Can the least squares equation be used to predict sales?c)What does the slope represent?d)What would a new broker who brings in 30 clients sell, on average?e)How much of the variability in sales is not explained by the number of new clients?4. Jean Siskel is an entertainment analyst for West Coast Securities. He is trying to develop a model to estimate gross earning generated by a new movie release. He has collected the following data on 20 movies: Gross Earnings, Production Costs, Promotion Costs, and if the movie is based on a bestseller novel: Gross Earnings Production Cost Promotion Cost Movie Millions $ Millions $ Millions $ Novel1 28 4.2 1 02 35 6 3 13 50 5.5 6 14 20 3.3 1 05 75 12.5 11 16 60 9.6 8 17 15 2.5 0.5 08 72 10 12 19 45 6.4 8 110 37 7.5 5 011 30 5.0 1 112 63 10.1 10 013 58 7.8 9 114 50 6.9 10 015 24 3.5 4 016 82 11.0 15 117 48 10.7 1 118 34 6.6 2 019 50 8.4 3 120 45 10.8 5 0 a.What type of variable is novel?b.What is the estimated multiple linear regression equation derived from this data?c.What are the regression coefficients for each X variable? Interpret the regression coefficient.d.Will Jean be pleased with the results?e.Interpret the intercept value. 5. The following data represent revenues in thousands of dollars for a manufacturer of small electric appliances. Year Quarter Revenues1996 1 5141996 2 8221996 3 6481996 4 9761997 1 6161997 2 8841997 3 6781997 4 9961998 1 6581998 2 8501998 3 7141998 4 1052a)Calculate the moving averages for this time series. b)Find the seasonal index for each quarter. c)From the fourth quarter of 1997 to the first quarter of 1998, revenues declined. What happened on a seasonally adjusted basis? d)Compute the forecast for the second quarter of 2002. e)Find the regression equation to predict the long term trend in the seasonally adjusted revenues.
A university reports that the middle 50% of the SAT I math scores of its students were between 565 and 690, with half the scores above 605 and half below. What SAT I math scores would be considered outliers for that university?
Explain why it is not appropriate to perform a formal inference procedure and yet it is still reasonable to conclude that the incidence rate is higher for gulf war veterans than for those who did not serve in the gulf war.
A population consists of ten items, six of which are defective. In a sample of three items, what is the probability that exactly two are defective?
Ffor ten randomly selected employees of a company is = 117 - 1.02x. Predict the job performance rating for an employee whose attitude rating is 55.
Which of the following can be treated as binomial experiment? (a) Surveying 1200 registered voters to determine their preferences for the next president?
Bruce Kuhlman, owner of Kuhlman Farms, wishes to use brand of fertilizer which will produce maximum yield per acre of wheat. Mr. Kuhlman can select from four different commercial brands. Write down the hypotheses?
How large a sample should he take to be within 200£ of the actual average with 99% confidence? He assumes the standard deviation of total monthly deposits for all customers is about 1000£.
If 134 out of a random sample of 235 college students expressed an intent to vote, can we reject the aide's estimate at the 0.05 level of significance? Perform a one-tailed test.
Assume that these two ways to buy tickets are independent. The probability that someone who tries to buy tickets through the Internet AND by phone will obtain tickets is equal to?
Find out the least-squares regression line and interpret its slope.
Simulate this problem using the Monte Carlo process. Show the demand during lead time (DDLT) for 30 reorders and determine the expected demand during lead time.
Prove that there is a sequence of polynomials p_n on [0,1] such that p_n ----> 0 pointwise on [0,1] but the integral from 0 to 1 of p_n dx
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