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1. Many companies use a incoming shipments of parts, raw materials, and so on. In the electronics industry, component parts are commonly shipped from suppliers in large lots. Inspection of a sample of n components can be viewed as the n trials of a binomial experimem. The outcome for each component tested (trialD will be that the component is classified as good or defective defective components in the lot do not exceed 1 %. Suppose a random sample of fiver items from a recent shipment is tested. quality control technique called acceptance sampling to monitor Reynolds Electronics accepts a lot from a particular supplier if the 2. Through the week ending September 16, 2001, Tiger Woods was the leading money winner on the PGA Tour, with total carnings of \$5,517,777. Of the top 10 money winners, seven players used a Titleist brand golf ball (PGA Tour website). Suppose that we randomly select two of the top 10 money winners. 3. Anew automated production process averages 1.5 breakdowns per day. Because of the cost associated with a breakdown, management is concerned about the possibility of having three or more breakdowns during a day, Assume that breakdowns occur randomly, that the probability of a breakdown is the same for any two time intervals of equal length, and that breakdowns in one period are independent of breakdowns in other periods. What is the probability of having three or more breakdowns during a day? 4. According to the Sleep Foundation, the average night's sleep is 6.8 hours (Fortane, March 20, 2006). Assume the standard deviation is .6 hours and that the probability distribution is normal. a. What is the probability that a randomly selected person sleeps more than 8 hours? b. What is the probability that a randomly selected person sleeps 6 hours or less? c. Doctors suggest getting between 7 and 9 hours of sleep each night. What percentage of the population gets this much sleep? 5. A machine fills containers with a particular product. The standard deviation of filling weights is known from past data to be 6 ounce. If only 2% of the containers hold less than 18 ounces, what is the mean filling weight for the machine? That is, what must u equal? Assume the filling weights have a normal distribution. 6. A Myrtle Beach resort hotel has 120 rooms. In the spring months, hotel room occupar is approximately 75 %. a. What is the probability that at least half of the rooms are occupied on a given day? b. What is the probability that 100 or more rooms are occupied on a given day? a niven da?
on the cost per expensive. BusinessWeek reported 7. Many drugs used to treat cancer are treatment of Herceptin, a drug used to treat breast cancer (Business Week, January 30, 2006). Typical treatment costs (in dollars) for Herceptin are provided by a simple random sample of 10 patients. 4376 5578 2717 4920 4495, 4798 6446 4119 4237 3814 a. Develop a point estimate of the mean cost per treatment with Herceptin. b. Develop a point estimate of the standard deviation of the cost per treatment with Herceptin. 8. Consumption of alcoholic beverages by young women of drinking age has been increasing in the United Kingdom, the United States, and Europe (The Wall Street Journal, February 15, 2006). Data (annual consumption in liters) consistent with the findings reported in The Wall Street Journal article European young women. are shown for a sample of 20 266 82 199 174 97 170 222 115 130 169 164 102 113 171 0 93 0 93 110 130 Assuming the population is roughly symmetric, construct a 95% confidence interval for the mean annual consumption of alcoholic beverages by European young women. 9. A production line operates with a mean filling weight of 16 ounces per container. Overfilling or under filling presents a serious problem and when detected requires the operator to shut down the production line to readjust the filling mechanism. From past data, a population standard deviation o .8 ounces is assumed. A quality control inspector selects a sample of 30 items every hour and at that time makes the decision of whether to shut down the line for readjustment. The level of significance is a_.05. a. State the hypothesis test for this quality control application. b. If a sample would you recommend? c. If a sample would you recommend? d. Use the critical value approach. What is the rejection rule for the preceding hypothes is testing procedure? Repeat parts (b) and (c). Do you reach the same conclusion? mean of 16.32 ounces were found, what is the p-value? What action mean of 15.82 ounces were found, what is the p-value? What action
35 30 38 2 40 1 Develop a least-squares regression line and explain what the slope of the line indicates. a b. Compute the coefficient of determination and comment on the strength of relationship between x and y Compute the sample correlation coefficient between the price and the number of flash drives sold. Use a 0.01 to test the relationship between x and y c. 11. Shown below is a portion of an Excel output for regression analysis relating Y (dependent variable) and X (independent variable). ANOVA df SS 110 Regression 74 8 Residual 184 9. Total Standard Error Coefficients 5.943 39.222 Intercept 0.1611 -0.5556 What has been the sample size for the above? a Perform a t test and determine whether or not X and Y are related. Let a 005 b Perform an F test and determine whether or not X and Y are related, Let a 0.05
Compute the coefficient of determination. d. Interpret the meaning of the value of the coefficient of determination that you found in d. Be e very specific Random samples were selected from three populations. The data obtained are shown below. Please note thot the sample sizes are not equal 12. Treatment 3 Treatment 1 Treatment 2 28 43 37 32 33 39 35 33 36 38 38 40 a erall mean X Compute the At 95 % confidence using the critical value and p-value approach, test to see if there is a significant difference among the means. 13. Among 1,000 managers with degrees in business administration, the following data have been accumulated as to their fields of concentration Middle Management TOTAL Top Management Major 500 220 280 Management 30 200 120 Marketing 150 300 150 Accounting 450 1000 550 TOTAL We want to determine if the position in management is independent of field (major) of concentration
Compute the test statistic. a Using the p-value approach at 90 % confidence, test to determine if management position is independent of major. h Using the critical value approach, test the hypotheses. Let a 0.10 From a poll of 800 television viewers, the following data have been accumulated as to their levels of education and their preference of television stations. We are interested in determining if the selection of a TV station is independent of the level of education 14. Educational Level TOTAL Bachelor Graduate High School 280 80 150 50 Public Broadcasting 520 120 250 150 Commercial Stations 800 200 400 200 TOTAL State the null and the alternative hypotheses Show the contingency table of the expected frequencies c Compute the test statistic The null hypothesis is to be tested at 95% confidence tate your conclusion Determine the critical value for this d. test an

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