Sept.-Oct. 3432 Nov.-Dec. Mar.-April July-Aug. 3704 2288 Jan.-Feb. 3637 May-June 2359 Year 1 2446 2888 2482 2762 2423 Year 2 4463 2483 2073 2579 3128 3348 2858 Year 3 2661 3375 2296 2749 3286 2266 2812 2433 Year 4 2937 2774 578 3427 Year 5 3792 3395 4003 3118 4249 4016 3458 Year 6 3360 2919 2946 5081 Year 7 5261 3063 3370 3710 3327 4480 3853 3174 Year 8

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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Energy Consumption. Exercises 1-5 refer to the amounts of energy consumed in the author’s home. (Most of the data are real, but some are fabricated.) Each value represents energy consumed (kWh) in a two-month period. Let each subgroup consist of the six amounts within the same year. Data are available for download at www.TriolaStats.com

Let each subgroup consist of the 6 values within a year. Construct an R chart and determine whether the process variation is within statistical control. If it is not, identify which of the three out-of-control criteria lead to rejection of statistically stable variation.

Sept.-Oct.
3432
Nov.-Dec.
Mar.-April
July-Aug.
3704
2288
Jan.-Feb.
3637
May-June
2359
Year 1
2446
2888
2482
2762
2423
Year 2
4463
2483
2073
2579
3128
3348
2858
Year 3
2661
3375
2296
2749
3286
2266
2812
2433
Year 4
2937
2774
578
3427
Year 5
3792
3395
4003
3118
4249
4016
3458
Year 6
3360
2919
2946
5081
Year 7
5261
3063
3370
3710
3327
4480
3853
3174
Year 8
Transcribed Image Text:Sept.-Oct. 3432 Nov.-Dec. Mar.-April July-Aug. 3704 2288 Jan.-Feb. 3637 May-June 2359 Year 1 2446 2888 2482 2762 2423 Year 2 4463 2483 2073 2579 3128 3348 2858 Year 3 2661 3375 2296 2749 3286 2266 2812 2433 Year 4 2937 2774 578 3427 Year 5 3792 3395 4003 3118 4249 4016 3458 Year 6 3360 2919 2946 5081 Year 7 5261 3063 3370 3710 3327 4480 3853 3174 Year 8
Expert Solution
Step 1

Note: In this scenario, XLSTAT software is used to obtain R-chart.

Requirements for the out-of-control state:

A process is said to be out-of-statistical control if any one of the following requirements are satisfied:

  • There exists an upward or downward trend or a cyclic pattern.
  • The sample point lies below the lower control limit or above the upper control limit.
  • There exist at least 8 consecutive sample points above or below the central line. It is known as the Run Rule of 8.
Step 2

Step-by-step procedure to obtain the ‘Statistical process control’ using the XLSTAT software:

  • Choose Statistical Process Control (SPC) > Subgroup charts.
  • Select Chart type as R chart.
  • Choose General.
  • Mark Columns under Data format.
  • Select input range ‘A1:E9’ under Data.
  • Click OK.

Output using the XLSTAT software is given below:

Statistics homework question answer, step 2, image 1

Statistics homework question answer, step 2, image 2

 

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