H o : = 12 Ho:=12 and H a : 12 Compute limits for the sample mean ¯xx¯ around =1

Question

${}_{}:=12$ and ${}_{}:12$

Compute limits for the sample mean ¯xx¯ around =12=12 such that, as long as a new sample mean is within those limits, the process will be considered to be operating satisfactorily. If ¯xx¯ exceeds the upper limit or if ¯xx¯ is below the lower limit, corrective action will be taken. For quality control purposes, these limits are referred to as upper and lower control limits, respectively:

Upper Control Limit =  (Round answers to 4 decimal places)

Lower Control Limit =  (Round answers to 4 decimal places)

p-value 0.0038

standard deviation 0.2072

test-statistics -2.8951

11.91
11.36
11.75
11.95
12.14
11.72
11.61
11.85
12.16
11.91
12.12
11.61
12.21
11.56
11.95
12.01
12.06
11.76
11.82
12.12
11.6
11.95
11.96
12.22
11.75
11.96
11.95
11.89
11.88
11.93

Explanation / Answer

using stat disk

at 0.05 sigificance level

Using data from column 1

Alternative Hypothesis:
µ not equal to µ(hyp)

t Test
Test Statistic, t: -2.9346
Critical t:        ±2.0452
P-Value:           0.0065

95% Confidence interval:
11.81164 < µ < 11.96636

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