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3 years ago

5

Which phrase best describes a rock? A. a chemical arranged in a lattice B. a gabbro of minerals C. a mixture of crystals D. a fi

re-formed crystal

1 answer:

seropon [69]3 years ago

4 0

A gabbro of minerals.

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The proportion of defective computers built by Byte Computer Corporation is 0.15. In an attempt to lower the defective rate, the

FinnZ [79.3K]

Answer:

a)<em> Null hypothesis : H₀</em>: the proportion of defective item of computer has been lowered. That is P < 0.15

<u><em>Alternative hypothesis: H₁:</em></u> The proportion of defective item of computer

has been higher. That is P> 0.15 (Right tailed test)

b) Test statistic $Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

c) Calculate the value of the test statistic = 0.991

d) The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57

e) Null hypothesis accepted at 0.01 level of significance

f) we accepted null hypothesis.

Hence t<em>he proportion of defective item of computer has been lowered. </em>

Step-by-step explanation:

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

<em>Given the sample size 'n' = 42</em>

Given random sample of 42 computers were tested revealing a total of 4 defective computers.

The defective computers 'x' = 4

<em>The sample proportion of defective computers </em>

$p = \frac{x}{n} = \frac{4}{42} = 0.095$

<em>Given The Population proportion 'P' = 0.15</em>

<em>The level of significance ∝=0.01</em>

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

a)<em> Null hypothesis : H₀</em>: the proportion of defective item of computer has been lowered. That is P < 0.15

<u><em>Alternative hypothesis: H₁:</em></u> The proportion of defective item of computer

has been higher. That is P> 0.15 (Right tailed test)

b)

Test statistic $Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

c)

$Z = \frac{0.095-0.15}{\sqrt{\frac{0.15(0.85)}{42} } }$

$z = \frac{-0.055}{\sqrt{0.00303} } = - 0.9991$

Calculate the value of the test statistic Z = - 0.9991

|Z| = |- 0.9991| = 0.991

<u>Step(iii)</u>:-

d)

The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57

e) Calculate the value of the test statistic Z = 0.991 < 2.57 at 0.01 level of significance.

<u><em>Conclusion</em></u>:-

Hence the null hypothesis is accepted at 0.01 level of significance.

f)

<em> The proportion of defective item of computer has been lowered.</em>

6 0

3 years ago

Consider the graph shown.

otez555 [7]

Answer:

y = $\frac{2}{3}$ x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)

m = $\frac{4-2}{3-0}$ = $\frac{2}{3}$

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = $\frac{2}{3}$ x + 2 ← equation of line

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3 years ago

1. Use a protractor to try to draw each triangle. Which of these three triangles is impossible to

Rus_ich [418]

answer:

C a triangle with one measures 90° and another angle measures 100°

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2 years ago

Part 2: <br>HELP NEED ASAP THIS IS PART 2 !

Ulleksa [173]

Answer:what is cop?

Step-by-step explanation:

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3 years ago

3<br> Question 7<br> Evaluate<br> if m = -32 and n = 2.<br> +<br> -<br> alo<br> CH OVO

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Yes i is the right answer correct right now and she will answer me later when you have time bye bye girl bye bye mama bye bye girl mama mama daddy mama bye mama love you mama bye mama daddy bye bye girl

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3 years ago