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Lerok [7]
3 years ago
6

Write 0.000038 in scientific notation.

Mathematics
2 answers:
Norma-Jean [14]3 years ago
8 0
0.000038 = 3.8e-5 = 3.8×10⁻⁵ 
raketka [301]3 years ago
5 0
<span>0.000038 => 10^-5 * 38</span>
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Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

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Step-by-step explanation:

From the question we are told that

   The sample size is  n = 64

    The average price is  \= x  = \$ 112

    The population standard deviation is  \sigma  = \$ 16

     The level of significance is  \alpha  = 0.05

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The null hypothesis is  H_o :  \mu = 108.50

The alternative hypothesis is  H_a  :  \mu \ne  108.50

Generally the test statistics is mathematically represented as

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=>    z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }  

=>    z = 1.75

From the z table  the area under the normal curve to the left corresponding to  1.75  is  

       P( Z >  1.75) = 0.040059

Generally  p-value is mathematically represented as

        p-value = 2 * P( Z >  1.75)

=>     p-value = 2 * 0.040059

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From the values obtained we see that  p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

 

3 0
3 years ago
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