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Ierofanga [76]
1 year ago
6

A newspaper report claims that 30% of all tea-drinkers prefer green tea to black tea. Leo is the office manager at a company wit

h thousands of employees. He wonders if the newspaper’s claim holds true at his company. To find out, Leo asks a simple random sample of 125 tea-drinking employees which they prefer: green tea or black tea.
Here's Leo's null hypothesis:The proportion of all tea-drinkers at the company that prefer green tea to black tea is...
Mathematics
1 answer:
kobusy [5.1K]1 year ago
3 0

Answer:

He wants to see if the proportion of the 125 tea-drinking employes is, as the newspaper report claims, 30%.

Then the null hypothesis says that this is false and that there is no relation between the events.

Then the null hypothesis is:

The proportion of all tea-drinkers at the company that prefer green tea to black the is not the 30%

Which is the negation of the thing that Leo wants to check.

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check the picture below.


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2 years ago
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Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown. The height is S
Lubov Fominskaja [6]
<h2>Explanation:</h2><h2></h2>

We know that the volume of a prism is defined by:

V=lwh \\ \\ \\ Where: \\ \\ l:length \\ \\ w:width \\ \\ h:height \\ \\ \\ l=\frac{d-2}{3d-9} \\ \\ w=\frac{4}{d-4} \\ \\ h=\frac{2d-6}{2d-4}

Substituting values:

V=\left(\frac{d-2}{3d-9}\right)\left(\frac{4}{d-4}\right)\left(\frac{2d-6}{2d-4}\right) \\ \\ \\ Simplifying: \\ \\ V=\frac{d-2}{3d-9}\cdot \frac{4}{d-4}\cdot \frac{d-3}{d-2} \\ \\ V=\frac{\left(d-2\right)\cdot \:4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)\left(d-2\right)} \\ \\ V=\frac{4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)} \\ \\ V=\frac{4\left(d-3\right)}{3\left(d-3\right)\left(d-4\right)}

Finally: \\ \\  \boxed{V=\frac{4}{3\left(d-4\right)}}

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2 years ago
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Antawn Jamison is shooting free throws. Making or missing free throws doesn't change the probability that
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Step-by-step explanation: Khan

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2 years ago
Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right
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Answer:

LJ=15\ units

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side KJ

In the right triangle JKM

Applying the Pythagoras Theorem

KJ^{2}=JM^{2}+KM^{2}

we have

JM=3\ units

KM=6\ units

substitute

KJ^{2}=3^{2}+6^{2}

KJ^{2}=45}

KJ=\sqrt{45}\ units

simplify

KJ=3\sqrt{5}\ units

step 2

Find the value of cosine of angle MJK in the right triangle JKM

cos(JKM)=JM/KJ

substitute the values

cos(JKM)=\frac{3}{3\sqrt{5}}

simplify

cos(JKM)=\frac{\sqrt{5}}{5} -----> equation A

step 3

Find the value of cosine of angle MJK in the right triangle JKL

cos(JKM)=KJ/LJ

we have

KJ=3\sqrt{5}\ units

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substitute the values

\frac{\sqrt{5}}{5}=\frac{3\sqrt{5}}{LJ}

Simplify

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8 0
1 year ago
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The data set below represents the ages of 36 executives. find the percentile that corresponds to an age of 4141 years old. 2828
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Answer:

37th percentile.

Step-by-step explanation:

We have been given a data set that represents the ages of 36 executives. We are asked to find the percentile that corresponds to an age of 41 years.

28, 29, 29, 32, 32, 33, 34, 34, 34, 34, 37, 37, 38, 41, 41, 42, 45, 45, 47, 47, 47, 48, 50, 51, 53, 56, 56, 56, 61, 61, 62, 63, 64, 64, 65, 66.

Let us count the number of data points below and at 41.

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Therefore, the percentile rank that corresponds to age of 41 years old is 37th percentile.  

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