Question

QUESTION 11 10)-12) A factory supervisor is concerned that the time it takes workers to complete an important production task (measured in seconds) is too erratic and adversely affects expected profits. The supervisor proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and range for each hour are listed below. Hour X R 1 18.4 30 2 16.9 27 3 14.0 25 4 21.2 25 5 21.0 24 6 33.0 23 7 19.3 18 8 15.8 14 9 20.0 12 10 14.0 11 Total: 193.6 209 TI Referring to the table, suppose the supervisor constructs an R chart to see if the variability in collection times is in-control. What are the lower and upper control limits for this R chart? 0, 44.18 4.66, 37.14 19.76, 20.90 7.70, 31.82 QUESTION 12 Which expression best describes the R chart ? A point is outside of the control limits. in-control hugging the center line Decreasing trend QUESTION 13 13)-19) A company analyst is interested in the relationship between number of cars sold per month (in 1,000s)) and three independent variables: price per gallon of gasoline x1=Gas, in $), the prevailing interest rate for car loans (X2=Interest, in %), and the car model X3=model, with X3=1, if the car is standard; and X3=0, if the car is luxury). He took a sample of 50 observations and obtained the following output: Coefficients Standard Errort Stat P-value Intercept 96.0744 10.0080 5.60 0.0001 GAS-16.1436 9.3158 -1.73 0.0927 INTEREST -2.3322 0.3624 -6.43 0.0001 MODEL 14.4222 1.5869 9.09 0.0001 If the coefficient of multiple determination is 0.814, which of the following statements correct? 81.4% of the variation in sales can be explained by the car model. 81.4% of the variation in sales can be explained by the prevailing interest rate for the car loans 81.4% of the variation in sales can be explained by the price per gallon of gasoline, 81.4% of the variation in sales can be explained by the price per gallon of gasoline, the prevailing interest rate for the car loans, and the car model.

Answer 1

question 11 =) Here m= 5 individuals per hour subgroup size n = 5 ; N = 10 Given EX=193.6 ER = 209 ř = { 193-6 = 19.36 10 N. IER= N. R 209 20.9 To control limits for Ř chart are given by lower bound lower control limit = D₂R upper bound = upper controllimit D4 Here supgroup size is 5 = D3=0 and 04=2.11 : lower bound = D3 Ř = = 0 * 20.9 = 0 : upper bound = 04 R = 2.1134 20.9 = 44.178 = 44.18 - buppose supervisor constructs R chort ; lower and upper control limits for R-chart are Ans. = 0 , 44.18 question 12 Here all the values of R are lies withing R chart. Therefore control chart is in control limits Ans- in-control question 13 → coebbraient of multiple delermina Hon is 0-814 Ans. =) 81,4% 0% the varnia hon in sales can be explained by the price per gallon of gaseline, the prevailing interest rate for the Cay loans and the car model