Question

In: Statistics and Probability

3. The company engineer made adjustments to the filling equipment, including recalibrating the weighers (scales), in...

3. The company engineer made adjustments to the filling equipment, including recalibrating the weighers (scales), in an attempt to correct the issue. A random sample of 90 boxes was selected and weighed after the adjustments. The data for this sample can be found in the Excel spreadsheet labeled Weights after Adjustments.

Find the descriptive statistics and the 95% confidence interval for the mean weight of packages after the equipment adjustment. Based on the descriptive statistics and the confidence interval, does it appear that the equipment adjustment had any effect on the weight of the packages? Explain.

below are the numbers in excel:

617.8113
620.1644
622.8009
612.4607
623.7648
611.1721
622.8009
613.6156
610.1285
625.4375
619.9092
629.9374
626.9606
622.9659
630.2376
625.1295
614.1246
627.8228
620.5368
616.4157
625.8382
615.8178
628.4465
622.1811
628.0915
613.0679
624.8177
619.6013
627.9645
617.9089
621.8213
620.1643
619.8009
622.4607
623.7648
619.1721
622.8009
617.6155
614.1285
625.4375
619.9092
625.9373
627.9606
619.9659
633.2376
625.1295
612.7446
627.8228
620.5368
617.4158
625.8382
613.8178
628.4465
622.1811
630.0908
611.0679
624.8176
619.6013
627.9645
616.9081
619.8113
620.1643
615.8009
622.4607
623.7648
621.1721
622.8009
613.6156
614.1285
625.4375
619.9092
629.9361
627.9606
619.9659
633.2376
625.1295
618.1246
627.8227
620.5368
611.4159
625.8382
613.8178
628.4464
622.1811
626.0907
613.0678
624.8177
614.6013
629.9645
616.9084

Solutions

Expert Solution

Using Excel<data<data analysis<descriptive statistics

Descriptive statistics
# 1
count 90
mean 621.615800
sample standard deviation 5.637832
sample variance 31.785151
minimum 610.1285
maximum 633.2376
range 23.1091
confidence interval 95.% lower 620.451033
confidence interval 95.% upper 622.780567
margin of error 1.164767
z 1.96
confidence interval 95.% lower 620.434979
confidence interval 95.% upper 622.796621
margin of error 1.180821
t(df = 89) 1.987
1st quartile 617.664450
median 622.181100
3rd quartile 625.838200
interquartile range 8.173750
mode 622.800900

Find the descriptive statistics and the 95% confidence interval for the mean weight of packages after the equipment adjustment. Based on the descriptive statistics and the confidence interval, does it appear that the equipment adjustment had any effect on the weight of the packages?

The 95% confidence interval is (620,623).

Since the confidence interval contains the mean value. We are 95% confident that the population means lies in the confidence interval.


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