An organization producing bolts designs a quality control program to screen the breaking strength of the bolts. Arbitrary examples of 200 bolts are tried for breaking strength determinations on 20 sequential working days. Any bolt that doesn't meet determinations is named damaged. The 20 examples of size n = 200 yielded the accompanying data:

Test No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 No. of defectives 6 3 1 6 1 3 2 3 8 5 3 2 4 6 4 6 2 3 7

(a) Gauge the general extent flawed and the standard deviation of your gauge.

(b) Compute the lower and upper 3-sigma control limits for fl, and plot the 20 example extents utilized in developing the control graph.

(c) If any of the plotted example esteems is outside as far as possible, how might you amend the control diagram for future quality control checking?

Question 58

A soda machine is intended to apportion 12 oz. of a specific soda pop into an aluminum can. An irregular example of n = 75 jars was chosen, and the substance of each can was precisely gauged. The example yielded a normal of 11.9 oz. with a standard deviation of 0.2 oz. Accept an ordinary appropriation, and afterward

(a) Track down a 95% resilience stretch for 90% of the populace. (b) Track down a 99% resilience stretch for 90% of the populace. (c) Track down a 95% resilience stretch for 99% of the populace. (d) Compute the 95% certainty stretch for the populace mean g. (e) Examine the distinctions among your responses to (a) through (d).

Question 59

Without expecting an ordinary dispersion, discover the example size needed for a two-sided resistance limit with properties given beneath in (a) (d).

(a) 95% certainty for 90% of the populace.

(b) 95% certainty for 95% of the populace. (c) 95% certainty for 99% of the populace. (d) 90% certainty for 95% of the populace.