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dlinn [17]
3 years ago
9

At the salad bar, the grocery store charges $5.99 for each half pound you buy. Which variable is dependent?

Mathematics
1 answer:
son4ous [18]3 years ago
7 0

Answer:

See below.

Step-by-step explanation:

cost = function of the number of half pounds you buy

Let n = number of half pounds you buy.

Let c = cost.

The cost function is

c = 5.99n

n is the independent variable. The number of half pounds you buy is any number you choose. Once you have a fixed number for n, then c depends on that number.

c is the dependent variable.

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You are conducting a study to see if the accuracy rate for fingerprint identification is significantly different from 0.4. You u
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Answer:

a)

<em>Calculated Z -value = 2 < 2.326 at 0.02 level of significance</em>

<em>Null hypothesis is accepted</em>

<em>The accuracy rate for fingerprint identification is not significantly different from 0.4.  </em>

<em>b)</em>

<em>P-value of this sample = 0.0455</em>

<em></em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given sample size 'n' = 298

<em>Sample proportion </em>

<em>                             </em>p^{-} = \frac{x}{n} = \frac{136}{298} = 0.456<em></em>

<em>Population proportion </em>

                          p = 0.4

<u><em>Null hypothesis</em></u> :-

<em>The accuracy rate for fingerprint identification is not significantly different from 0.4</em>

<em>H₀: p=0.4</em>

<u><em>Alternative Hypothesis :-</em></u>

<em>The accuracy rate for fingerprint identification is  significantly different from 0.4</em>

<em>H₁: p≠0.4</em>

<u><em>Step(ii):</em></u>-

<em>Test statistic</em>

               Z = \frac{p^{-} -P}{\sqrt{\frac{P Q}{n} } }

             Z = \frac{0.456-0.4}{\sqrt{\frac{0.4 X 0.6}{298} } }

             Z = 2

<em>Given level of significance α=0.02</em>

<em>critical value Z = 2.326</em>

<em>Calculated Z -value = 2 < 2.326 at 0.02 level of significance</em>

<em>Null hypothesis is accepted</em>

<em>The accuracy rate for fingerprint identification is not significantly different from 0.4.  </em>

<u><em> P- value </em></u>

<em>P( Z>2) = 1- P( Z <2)</em>

<em>              = 1 - ( 0.5 - A(2)</em>

<em>             = 0.5 - 0.4772</em>

<em>            = 0.0228</em>

<em>Given two tailed test   = 2 ×P( Z >2)</em>

<em>                                       = 2 ×  0.0228</em>

<em>                                      = 0.0456</em>

<em>The p-value is 0.0456</em>

3 0
3 years ago
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