Problem

Refer 10 the freezer problem 17.51 with µ= 23 and σ= 2. Temperature measurements are recor...

Refer 10 the freezer problem 17.51 with µ= 23 and σ= 2. Temperature measurements are recorded four times a day (at midnight, 0600, 1200, and 1800). Twenty samples of four observations are shown below. (a) Construct upper and lower control limits for the  chart, using the given process parameter. (b) Plot the data on the control chart. (c) Is this process in control? Explain your reasoning.

 Sample

Midnight

At 0600 

At 1200

At 1800

Mean 

1

25

 26

23

23

24.25

2

22

 23

29

22

23.75

3

20

 24

25

21

22.50

4

21

 25

22

2i

22.75

5

21

23

21

23

22.00

6

26

 25

27

26

26.00

7

21

23

25

20

22.25

8

25

 23

22

25

23.75

9

22

 24

24

22

23.00

10

27

 23

26

25

25.25

11 

24

 23

20

21

22.00

12

25

21

23

20

22.25

13

 26

26 

21

21 

22.75 

14

26

22

26

22

24.00

15

21

 24

20

19

21.00

16

23

26

23

23

23.75

17

23

21

24

21

22.25

18

25

22

22

23

23.00

19

24

20

21

22

21.75

20

24

21

23

21

22.25

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