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ElenaW [278]
3 years ago
6

Write a two-column proof

Mathematics
1 answer:
miskamm [114]3 years ago
6 0
I hope this helps you

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Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time
kvasek [131]

Answer:

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

Step-by-step explanation:

We must evaluate the differences of the means of the two machines, to do so, we will assume a CI  of 95%, and as the interest is to find out if the new machine has better performance ( machine has a bigger efficiency or the new machine produces more units per unit of time than the old one) the test will be a one tail-test (to the left).

New machine

Sample mean                  x₁ =    25

Sample variance               s₁  = 27

Sample size                       n₁  = 45

Old machine

Sample mean                    x₂ =  23  

Sample variance               s₂  = 7,56

Sample size                       n₂  = 36

Test Hypothesis:

Null hypothesis                         H₀             x₂  -  x₁  = d = 0

Alternative hypothesis             Hₐ            x₂  -  x₁  <  0

CI = 90 %  ⇒  α =  10 %     α = 0,1      z(c) = - 1,28

To calculate z(s)

z(s)  =  ( x₂  -  x₁ ) / √s₁² / n₁  +  s₂² / n₂

s₁  = 27     ⇒    s₁²  =  729

n₁  = 45    ⇒   s₁² / n₁    = 16,2

s₂  = 7,56   ⇒    s₂²  = 57,15

n₂  = 36     ⇒    s₂² / n₂  =  1,5876

√s₁² / n₁  +  s₂² / n₂  =  √ 16,2  + 1.5876    = 4,2175

z(s) = (23 - 25 )/4,2175

z(s)  =  - 0,4742

Comparing z(s) and  z(c)

|z(s)| < | z(c)|  

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

The very hight dispersion of values s₁ = 27 is evidence of frecuent values quite far from the mean

3 0
3 years ago
John O'Sullivan has just completed his first year in business. His records show that he spent the following in advertising: Inte
krek1111 [17]

Answer:

29.787%

Step-by-step explanation:

The computation of the percentage that spend on yellow pages is shown below:

= Yellow pages ÷ Total advertising cost

= $700 ÷ ($700 + $600 + $650 + $400)

= $700 ÷ $2,350

= 29.787%

6 0
2 years ago
-3(1-3x)+2x its due today help!<br> I got 11x - 3 I don't know if it's correct
-BARSIC- [3]

Answer:

I got -3+11x

Step-by-step explanation:

-3(1-3x)+2x

-3+9x+2x

-3+11x

6 0
2 years ago
Read 2 more answers
$72 with a 40% markup
alex41 [277]

Answer:

$100.80

Step-by-step explanation:

40%/100%×72=$28.80

$72+$28.80=$100.80

8 0
2 years ago
Tien Chou's tax return for last year shows a total tax of $8,278. Tien's employer withheld $8,450 from her wages during the year
worty [1.4K]

Answer: 16,728

Step-by-step explanation:

8 0
3 years ago
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