5. A control chart for number nonconforming chart (np chart) is to be established based on a sample size of n=300. To initiate the control chart, 40 samples, each of 300 items, were selected and the number nonconforming tabulated for all 40 samples, yielding the following: E1 np = d = 120 a). Compute: np, p b). Establish the parameters of the np chart (namely CL,UCL, LCL) 40 c). Suppose the fraction nonconforming p shifts to 0.02. What is the probability that the shift would be detected in the first sample taken after the shift has occurred? (Use the Poisson Approximation)

In sampling situations, the population consists of:   Select one: a. specific values like level of education. b. all cases that conform to a designated set of specifications. c. the entire physical world over a finite period of time. d. partial data utilized in characterizing the whole.

4.1 We have collected data on a questionnaire as follows: Variable Starting Column Length ID DOB 15 38 ST_DATE 13 END_DATE 21 8 SALES 29 29 Here is some sample data: 2 3 Description Subject ID Date of birth in MMDDYY format Start date in MMDDYY format Ending date in MMDDYY format Total sales 1 123456789012345678901234567890 Column Indicators 001 1021194611121980122819887343 002 0913195502021980020419880123 005 0606194003121981031220040000 003 0705194411151980111320009544 Problems 155 (a) Write a SAS program to read these data.

A population consists of 35% sixes and 65% fives. What will be the variance for the distribution of sample means for samples of size two selected from this population? a) 14.425 b) 0.2275 c) 0.11375 d) 28.85

Dr. Maddan's eye drops are supposed to cause significant reduction is eye redness. The following table shows the results of a recent study where a random sample of individuals took part in a placebo controlled study. No Reduction in Redness Reduction in Redness Total Eye Drops 120 220 340 No Eye Drops Total 120 140 260 240 360 600 With 5% level of significance, determine if eye redness reduction is dependent upon taking the eye drops. Provide, a. the Chi-square statistic. b. the critical value or the p-value. c. Your decision on whether or not to reject Ho.

6. Given the following sample of n = 10 scores, for each individual score calculate the following: a) z-score b) a new standardized score with M = 50 and s = 20 X 19 10 2 16 13 4 11 6 18 15 X 19 10 2 6341618 15 z-score Standardized Score