A bank collects data on the number of loan applications filled incorrectly each day to construct a np-chart. Data from the previous 10 days indicate the following number of loan applications filled incorrectly per day in a sample size of 25 per day.
Day |
Incorrect loan applications/day |
1 |
5 |
2 |
7 |
3 |
6 |
4 |
5 |
5 |
8 |
6 |
4 |
7 |
4 |
8 |
5 |
9 |
5 |
10 |
6 |
Question 1. Calculate the average number of
incorrect loan applications per sample and the corresponding
standard deviation.
A. np-bar = 5.2; the standard deviation is = 2.2094
B. np-bar = 5.6; the standard deviation is = 2.0846
C. np-bar = 4.9; the standard deviation is = 1.9848
D. np-bar = 5.5; the standard deviation is = 2.0712
Question 2. Using +- 3-sigma limits, calculate the LCL and UCL for these data.
Since there are 55 defective items in 10 samples of smple size 25,
the fraction defective pbar = 55/25x10 = 0.22
1. npbar = 25x0.22 =5.5
SD = [ npbar ( 1-pbar)]1/2 = [ 5.5 x(0.78)]1/2 = 2.071
D is correct
2.Control limits
UCL = npbar + 3 [ npbar ( 1-pbar)]1/2 = 5.5+ 3[ 5.5 x(0.78)]1/2 = 11.7136
LCL = npbar - 3 [ npbar ( 1-pbar)]1/2 = 5.5-3[ 5.5 x(0.78)]1/2 =0 ( as defects can't be negative)
D is correct
A bank collects data on the number of loan applications filled incorrectly each day to construct...
1. ABC FURNITURE collects sample data on the number of sofas sold per day: 9, 8 6, 4. 8. 2 a) Calculate the mean, median and mode b) Calculate the range, standard deviation and coefficient of variation
3. LUXURY CARS collects sample data regarding the number of cars rented per day: 10, 6, 20 a) Calculate the mean, median and mode b) Calculate the range, standard deviation and coefficient of variation
2. SHINY SHOES collects sample data on the number of shoes it sells per day: 10, 9, 12, 7 a) Calculate the mean, median and mode b) Calculate the range, standard deviation and coefficient of variation
10, 3. LUXURY CARS collects sample data regarding the number of cars rented per day: 6, 20 a) Calculate the mean, median and mode b) Calculate the range, standard deviation and coefficient of variation c) Calculate Pearson's coefficient of skewness d) Calculate Q.
The number of loan applications that a bank gets per day is a Poisson-distributed random variable with λ = 7.5. What are the probabilities that on any given day the bank will receive a. exactly six applications; b. at most four applications; c. at least eight applications; and, d. anywhere from five to ten applications?
The postmaster of a small western town receives a certain number of complaints each day about mail delivery. 2 1 4 Number of complaints 3 14 4 8 5 9 6 6 DAY 8 13 7 5 9 14 10 7 11 6 12 4 13 2 14 11 11 a.Determine two-sigma control limits using the above data. (Round your intermediate calculations to 4 decimal places and final answers to 3 decimal places. Leave no cells blank - be certain...
Five data entry operators work at the data processing department of the Birmingham Bank. Each day for 30 days, the number of defective records in a sample of 300 records typed by these operators has been noted. as follows: Sample No 1 No. Defectives Sample No. 11 12 13 No Defectives 5 2 No. Defectives 16 11 7 7 3 Sample No. 21 22 23 24 25 26 27 18 11 11 7 11 10 5 13 5 6 7...
Problem 10-7 The postmaster of a small western town receives a certain number of complaints each day about mail delivery. 1 4 2 10 3 15 4 8 5 9 6 6 7 5 DAY 8 13 9 15 10 7 11 6 Number of complaints a.Determine two-sigma control limits using the above data. (Round your intermediate calculations to 4 decimal places and final answers to 3 decimal places. Leave no cells blank - be certain to enter "0" wherever...
Problem 10-7 The postmaster of a small western town receives a certain number of complaints each day about mail delivery DAY 7 89 10 11 12 13 14 5 13 15 1 2 3 4 5 7 6 4 2 10 8 6 4 11 14 Number of complaints a. Determine two-sigma control limits using the above data. (Round your intermediate calculations to 4 decimal places and final answers to 3 decimal places. Leave no cells blank be certain to...
kon over the past 10 days are given below. Sample size is 100. Day Defectives 1 7 2 9 3 9 4 11 5 7 6 8 7 0 8 11 9 13 10 2 a) The upper and lower 3-sigma control chart limits are: UCL, -(enter your response as a number between 0 and 1, rounded to three decimal places). LCL - Center your response as a number between 0 and 1, rounded to three decimal plocos). b) Given...