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Kipish [7]
3 years ago
12

Love or Dislike?~ :3

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0
Love that would be the answer
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A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than
vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

H_0: p \leq 0.05

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

H_a: p > 0.05

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that \mu = 0.05, \sigma = \sqrt{0.05*0.95}

A random sample of 300 items taken from the production line contained 27 defective items.

This means that n = 300, X = \frac{27}{300} = 0.09

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}

z = 3.18

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

5 0
3 years ago
Can anyone give me a hand with 7
erma4kov [3.2K]
The answer is 3.5 grams. 500 Milligrams is equal to half a gram.
5 0
3 years ago
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Toni simplified the expression , 22 × (16 −32 +1) ÷ 8. For Toni's first and second steps, he simplified the expression inside th
Anna007 [38]
When you subtract and add what is in the parentheses you would get -15 so I’m guessing he didn’t go from left to right when working inside the parentheses but when you solve the whole problem out you would get the answer: -41.25 If I missed something or you need me to show the work just let me know but I hope this helps !
6 0
3 years ago
Given the equation , which set of values for a and
Harrizon [31]

Answer:

there is no picture...

Step-by-step explanation:

3 0
2 years ago
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Angle 1 and angle 2 form a linear pair.if m angle =5x+9 and m angle 2=3x+11,find the measures of both angels.
lbvjy [14]

Answer: ∠1 = 109°    ∠2 = 71°

<u>Step-by-step explanation:</u>

If the two angles form a linear pair, then their sum is 180°

  ∠1      +     ∠2     = 180°

(5x + 9) + (3x + 11) = 180

              8x + 20  = 180

              8x          = 160

                x          = 20

∠1 = 5x + 9

    = 5(20) + 9

    = 100   + 9

    = 109

∠2 = 3x + 11

     = 3(20) + 11

     =    60  + 11

     =         71

  <u> CHECK:</u>

∠1   + ∠2 = 180°

109° + 71° = 180°

     180°   = 180°  \checkmark

7 0
3 years ago
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