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Nezavi [6.7K]
3 years ago
11

Rachel measures the lengths of a random sample of 100 screws. The mean length was 2.6 inches, with a standard deviation of 1.0 i

nches. Using the alternative hypothesis (µ < µ0), Rachel found that a z-test statistic was equal to -1.25. What is the p-value of the test statistic? Answer choices are rounded to the thousandths place.
Mathematics
1 answer:
olga_2 [115]3 years ago
4 0

Answer:

Step-by-step explanation:

Using the alternative hypothesis (µ < µ0),

To find the p-value with test statistic -1.25 and assuming a standard level of significance of 0.05, using a p value calculator, the p-value is 0.1057 which is great that 0.05. Thus, the results is not significant.

Using the p value calculation.

1. Check the left tailed z table as the test statistic is negative,

2. Then find the probabilitythat z is greater than your test statistic (look up your test statistic on the z-table- the value under 1.2 and 0.05 which is 0.8944

3. Then, find its corresponding probability, and subtract it from 1 to get your p-value- 1-0.8944 = 0.1056.

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prisoha [69]

Answer:

No solution

Step-by-step explanation:

3 x + y = 4 (1)

− 3 x − y = − 8 (2)

Add (1) and (2)

0 + 0 = -4

0 = -4 is a false statement

So, no solution

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3 years ago
ABCD is a parallelogram. AB&gt;AD. Prove: m∠ADB&gt;m∠BDC. Show your work (statement reason maybe?)
Gwar [14]

In the parallelogram ABCD, join BD.

Consider the triangle Δ ABD.

It is given that AB > AD.

Since, in a triangle, angle opposite to longer side is larger, we have,

∠ ADB > ∠ ABD. --- (1)

Also, AB || DC and BD is a transversal.

Therefore,

∠ ABD = ∠ BDC

Substitute in (1), we get,

∠ ADB > ∠ BDC.

7 0
3 years ago
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HELP PLEASE ILL MAKE YOU THE BRAINIEST What is the area of the regular polygon?
Fed [463]

Based on the calculations, the area of this regular polygon (hexagon) is equal to 24 m².

<h3>How to calculate the area of a regular polygon?</h3>

Mathematically, the area of a regular polygon can be calculated by using this formula:

Area = (n × s × a)/2

<u>Where:</u>

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  • s is the side length.
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<u>Note:</u> The apothem of a regular polygon is half the length of one side.

Therefore, Length = 2 × 2 = 4 meter.

Substituting the parameters into the formula, we have;

Area = (6 × 4 × 2)/2

Area = 48/2

Area = 24 m².

Read more on polygon here: brainly.com/question/16691874

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4 0
2 years ago
Factor 16p^4 - 24p^3.
shusha [124]

Answer:

8p^3(2p - 3) is the factor

Step-by-step explanation:

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elena-14-01-66 [18.8K]

Given:

The complex number is:

z=1+i\sqrt{3}

To find:

The argument of the given complex number.

Solution:

If a complex number is z=x+iy, then the argument of the complex number is:

\theta=\tan^{-1}\dfrac{y}{x}

We have,

z=1+i\sqrt{3}

Here, x=1 and y=\sqrt{3}. So, the argument of the given complex number is:

\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}

\theta =\tan^{-1}\sqrt{3}

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\theta =\dfrac{\pi}{3}

Therefore, the argument of the given complex number is \theta =\dfrac{\pi}{3}.

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3 years ago
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