Exercise 2. Revisit Example 2. A sample of 500 products is taken. As it turned out, 300 prod produced during the day shift and 200 were produced during the night shift. Fifteen (15) of the 17 of the night-shift products were defective. It is of interest to compare the defect rates for tl night shifts. (b) Compute and interpret a 98% confidence interval for the inference target.

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RE(500), RE ="manufacture a product."
Example 2. A sample of 500 products is taken. It is assumed that s -
As it turned out, 300 products were produced during the day shift and 200 were produced during the night shift.
Fifteen (15) of the day-shift and 17 of the night-shift products were defective. It is of interest to compare the
defect rates for the day and night shifts.
Let X = defect indicator,
basis of covariate production shift. We have s1 = s[(C = 1) is the [sub]sample of 300 day-shift products and s, =
s|(C = 2) is the [sub]sample of 200 night-shift products. It follows that s, +
S2 - RE2(n2 = 200), and the RE(Nµ)'s are indep,
C = Production Shift (1 = day, 2 = night). The sample of 500 can be split on the
RE,(n1
300),
where
RE,
= RE|(C = 1)
= "manufacture a product, restricted to products created during the day shift"
= "manufacture a product during the day shift"
RE2
= "manufacture a product during the night shift."
The resulting..Two Sample Binary Data:
X:S1, X: S2, where s1
RE, (300), s2 – RE2(200), and RE«(Nx)'s are indep.
OR
Two Sample Proportion Data:
P1 (s) = props, (defect) = mean(X:s1) = 15/300,
P2(s)
= props, (defect)
where s + RE(300), s2 – RE2(200), and RE(nx)'s are indep.
= mean(X:s2) = 17/200,
The target of inference is p1 – P2 = PRE, (defect) – PRE2 (defect).
Transcribed Image Text:RE(500), RE ="manufacture a product." Example 2. A sample of 500 products is taken. It is assumed that s - As it turned out, 300 products were produced during the day shift and 200 were produced during the night shift. Fifteen (15) of the day-shift and 17 of the night-shift products were defective. It is of interest to compare the defect rates for the day and night shifts. Let X = defect indicator, basis of covariate production shift. We have s1 = s[(C = 1) is the [sub]sample of 300 day-shift products and s, = s|(C = 2) is the [sub]sample of 200 night-shift products. It follows that s, + S2 - RE2(n2 = 200), and the RE(Nµ)'s are indep, C = Production Shift (1 = day, 2 = night). The sample of 500 can be split on the RE,(n1 300), where RE, = RE|(C = 1) = "manufacture a product, restricted to products created during the day shift" = "manufacture a product during the day shift" RE2 = "manufacture a product during the night shift." The resulting..Two Sample Binary Data: X:S1, X: S2, where s1 RE, (300), s2 – RE2(200), and RE«(Nx)'s are indep. OR Two Sample Proportion Data: P1 (s) = props, (defect) = mean(X:s1) = 15/300, P2(s) = props, (defect) where s + RE(300), s2 – RE2(200), and RE(nx)'s are indep. = mean(X:s2) = 17/200, The target of inference is p1 – P2 = PRE, (defect) – PRE2 (defect).
Exercise 2. Revisit Example 2. A sample of 500 products is taken. As it turned out, 300 products were
produced during the day shift and 200 were produced during the night shift. Fifteen (15) of the day-shift and
17 of the night-shift products were defective. It is of interest to compare the defect rates for the day and
night shifts.
(b) Compute and interpret a 98% confidence interval for the inference target.
Transcribed Image Text:Exercise 2. Revisit Example 2. A sample of 500 products is taken. As it turned out, 300 products were produced during the day shift and 200 were produced during the night shift. Fifteen (15) of the day-shift and 17 of the night-shift products were defective. It is of interest to compare the defect rates for the day and night shifts. (b) Compute and interpret a 98% confidence interval for the inference target.
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