Answer questions 38 to 40 based on below scenario: A restaurant is providing a q
ID: 325356 • Letter: A
Question
Answer questions 38 to 40 based on below scenario: A restaurant is providing a questionnaire with cach merved indred customers o days. The results are as follows Sample Number of Dissatisfied an effort to improve the quality . The eustomers atisfied w not One hundred customers were sanmples during the past 18 23 19 38) What is the sample proportion of defectives for sample 6? b) .36 c) 46 d) 19 e 39 39) What is your estimate of the standard deviation of the sampling samples of this size (round to 3 decimals)? distribution of the fractions defective for a) .022 b) 032 c) .046 d) 016 e) .039 are the control chart upper and lower limits for three-sigma control limits? a) 299 and.065 b) 205 and 167 c) 477 and .578 d) 378 and .279 e) 054 and . 112 Bonus Question -Name 5 of the 7 Mudas (10 points)Explanation / Answer
38.
D
Working note:
Sample proportion of defective = 19/100 = .19
39.
E.
Working note:
Standard deviation = (( (0.181-0.22)^2 + (0.181-0.18)^2 + (0.181-0.23)^2 + (0.181-0.11)^2 + (0.181-0.16)^2 + (0.181-0.19)^2 )/6)^0.5
Standard deviation = .039
40.
A
Working note:
UCL = 0.182 + 3*0.039 = .299
LCL = =0.182 - 3*0.039 = .065
Sample Number of dissatisfied Fraction defective 1 22 0.22 2 18 0.18 3 23 0.23 4 11 0.11 5 16 0.16 6 19 0.19