1. explain the term Process Pertormance

Determine the process canability pertormance metrics of a process that had a lower specification of 2

and an uper specitication of 10 with responses of data collected seguentially Use 2.5 as standard deviation long term). Determine the 95% confidence interval for Cp, pk, Pp, and Ppk.

3.40

8.57

2.42

5.599

9.92

4.63

7.48

8.55

6.10

6.42

4.46

7.02

2. Assume the following distributions are all normal, and use the areas under the normal curve given in the able to answer the questions.

O)Find the z-score of the following in a standard normal distribution curve: 0.4832

U)Find the percent of the total area under the standard normal curve between the following z-scores: z=-2.48 and -0.05.

(iti). Find a z-score satisfying each of the following conditions. 15% of the total area is to the left of z. (iv). Dixie Office Supplies finds that its sales force drives an average of 1200 miles per month per person, with a standard deviation of 150 miles. Assume that the number of miles driven by a salesperson is closely approximated by a normal distribution. Find the probability that a salesperson drives between 1200 and 1600z

3. A company (GOGO) bench marking with the best in the industry

(BANFO) has the following defect results in

Batch

1984

1985

1986

1987

1988

1989

GOGO

12.81

12.47

12.36

11.15

10.05

BANFO

8.54

8.31

8.24

7 42

6 70

6 53

6.87

(a) Find the mean detects for each company. Which batch has the detect closest to the mean in DANFO and GOGO? lorind the standard deviation for the data for both the DANFOand GOGO

c) In vour bench marking what is your conclusion-Are the two companies having the same detect rate?

(Please include the hypothesis test).