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Andrei [34K]
3 years ago
12

What is the square root of 4 over 225?

Mathematics
1 answer:
exis [7]3 years ago
6 0
Sqrt(4/225)
= 2/15.

The final answer is 2/15~
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Find the value of x .<br><br> x/4 = 15/20<br><br> x=
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Find the value of x.
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3 years ago
A candy factory that produces chocolate bars claims each bar weighs 50 grams, at least that is what is printed on the label. Of
Romashka [77]

Answer:

Question 1

The correct option is  A

Question two

 The correct option is B

Question three

   SE= 0.5  

Question four

   z = - 3

Question five

The correct option is A

Step-by-step explanation:

   The population mean is  \mu =  50 \ grams

   The sample size is  n = 16

   The population size is N  = 4000

   The sample mean is  \= x  =  48.5 \grams

   The standard deviation is s  =  2 \ gram(s)

Considering the first question

 The correct option is  A

z test because the SD of the population is known and the weights follow the normal curve

Considering  the second question

The correct option is  B

Yes, because with only 20 observations the sample SD is not a great estimate of the true population SD.

Considering  the third question  

   Generally the standard error is mathematically represented as

         SE= \frac{s }{\sqrt{n} }

=>      SE= \frac{2 }{\sqrt{16} }

=>       SE= 0.5    

The null hypothesis is  H_o :  \mu  =  50

The alternative  hypothesis is  H_a :  \mu  <  50

Generally the test statistics is mathematically represented as

      z = \frac{ \= x  - \mu  }{ SE }

=>    z = \frac{ 48.5 - 50 }{ 0.5}

=>   z = - 3

Generally the p-value is mathematically represented as

     p-value  = P(Z <  z )

=>  p-value  = P(Z <  - 3  )

From the z-table the

    P(Z <  - 3  ) =0.0013499

=>  p-value  = 0.0013499

From the obtained values we see that

  p-value  <  \alpha

So we reject the null hypotheses

The conclusion

it's very unlikely that the factory is making the candy bars 50 grams as they claim

5 0
3 years ago
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