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The final examination questions for a statistics course focused on quality control in manufacturing. The questions involve calculating control limits for x-chart and s-chart based on data collected during a run-in period, determining if samples indicate statistical control, and analyzing data from experiments comparing two methods for determining residual chlorine content in sewage effluents and the relationship between smoking habits and household income.
Typology: Exams
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MTB > desc c5 c Variable N Mean Median TrMean StDev SEMean xbar 40 2999.4 2999.4 2999.5 8.5 1. s 40 19.034 18.347 19.122 5.616 0.
Variable Min Max Q1 Q xbar 2979.1 3018.1 2993.3 3004. s 6.754 30.424 15.859 24.
MTB > desc c1-c Variable N Mean Median TrMean StDev SEMean sample.1 4 3197.1 3197.4 3197.1 21.9 11. sample.2 4 3263.0 3256.8 3263.0 23.5 11. sample.3 4 3277.2 3279.7 3277.2 80.3 40.
Variable Min Max Q1 Q sample.1 3173.3 3220.2 3176.0 3217. sample.2 3242.6 3295.5 3244.3 3287. sample.3 3182.7 3367.0 3198.4 3353.
MTB > # Analysis number 1: MTB > twos c1 c2; SUBC> pool; SUBC> alte **.
Twosample T for MSI vs SIB N Mean StDev SE Mean MSI 8 5.02 4.22 1. SIB 8 5.43 4.12 1.
95% C.I. for mu MSI - mu SIB: ( ****, ****) T-Test mu MSI = mu SIB (vs *****): T= **** P=**** DF= ** Both use Pooled StDev = 4. MTB > #----------------------------------------------------------
ChiSq = 0.669 + 6.326 + 0.348 + 1.228 + 0.354 + 3.059 + 0.849 + ***** + 1.649 + (v) + 3.889 + 4.525 + 0.131 + 0.516 + 0.484 = 25. df = (vi), p = *****
MTB > # Analysis number 1: MTB > twos c1 c2; SUBC> pool.
Twosample T for high vs commerc. N Mean StDev SE Mean high 32 65.01 1.60 0. commerc. 32 60.64 1.38 0.
95% C.I. for mu high - mu commerc.: ( ****, ****) T-Test mu high = mu commerc. (vs not =): T= **** P=**** DF= ** Both use Pooled StDev = 1. MTB > #----------------------------------------------------------
MTB > #---------------------------------------------------------- MTB > # Analysis number 2: MTB > let c3 = c1 - c MTB > tint c MTB > name c3 ’hi-com’
Variable N Mean StDev SE Mean 95.0 % C.I. hi-com 32 4.369 2.103 0.372 ( ****, ****) MTB > #----------------------------------------------------------
MTB > retr ’f:drugs’ MTB > aovo c1-c
Analysis of Variance Source DF SS MS F p Factor (i) (iv) 222.9 (vi) ***** Error (ii) 2119.6 (v) Total 27 2788. Individual 95% CIs For Mean Based on Pooled StDev Level N Mean StDev ----+---------+---------+---------+-- Tic-lo 8 13.762 8.221 (------------) Tic-hi 7 20.629 6.480 (-------------) Hyd-lo (iii) 5.620 7.909 (---------------) Hyd-hi 8 15.450 12.786 (-----------) ----+---------+---------+---------+-- Pooled StDev = 9.398 0 10 20 30