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Luda [366]
3 years ago
8

A detergent company periodically tests its products for variations in the fill weight. To do this, the company uses x-bar and R

charts. Eight samples, each containing 10 detergent boxes, were selected from different batches. The data in fill weight (in ounces) of the eight samples is presented below.
Sample Sample Mean Sample Range
1 5.8 0.42
2 6.1 0.38
3 16.02 0.08
4 15.95 0.15
5 16.12 0.42
6 6.18 0.23
7 5.87 0.36
8 16.2 0.4


If A2 for the sample size is 0.3080, the lower controllimit for the x-bar chart is___________
Mathematics
1 answer:
maw [93]3 years ago
8 0

Answer:

10.9361

Step-by-step explanation:

The lower control limit for xbar chart is

xdoublebar-A2(Rbar)

We are given that A2=0.308.

xdoublebar=sumxbar/k

Rbar=sumR/k

xbar      R

5.8        0.42

6.1         0.38

16.02    0.08

15.95    0.15

16.12     0.42

6.18      0.23

5.87     0.36

16.2      0.4

Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8

Xdoublebar=88.24/8

Xdoublebar=11.03

Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8

Rbar=2.44/8

Rbar=0.305

The lower control limit for the x-bar chart is

LCL=xdoublebar-A2(Rbar)

LCL=11.03-0.308*0.305

LCL=11.03-0.0939

LCL=10.9361

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1.
butalik [34]

The answers to each of the given problems are;

1) Sum of two smallest integers  = 23

2) 3x + 6

3) 7.5 m/s²

<h3>How to find the sum of consecutive Integers?</h3>

1) We are told that sum of 4 consecutive integers is increased by 20 and equals 70. Thus, we have;

x + (x + 1) + (x + 2) + (x + 3) + 20 = 70

4x + 26 = 70

4x = 70 - 26

4x = 44

x = 44/4

x = 11

Thus, sum of two smallest integers = 11 + 11 + 1 = 23

2) Let the consecutive odd numbers be;

x, (x + 2) and (x + 4)

Sum of these consecutive odd numbers is;

x + x + 2 + x + 4 = 3x + 6

3) We are given the equation to find the acceleration as;

(v_final)² - (v_initial)² = 2ad

We are given;

v_final = 40 m/s

v_initial = 10 m/s

d = 100 m

Thus;

40² - 10² = 2a(100)

1500 = 200a

a = 1500/200

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Read more about sum of integers at; brainly.com/question/17695139

#SPJ1

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1 year ago
Can someone please help me with this?
horrorfan [7]
Um this seems really confusing!
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