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Rasek [7]
3 years ago
14

State whether each situation has independent or paired​ (dependent) samples. a. A researcher wants to compare the hand–eye coord

ination of men and women. She finds a random sample of 100 men and 100 ​women, and measures their hand–eye coordination. b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without
Mathematics
1 answer:
Alex73 [517]3 years ago
6 0

Answer:

a. A researcher wants to compare the hand–eye coordination of men and women. She finds a random sample of 100 men and 100 ​women, and measures their hand–eye coordination = paired samples

b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without tenure. =  independent samples

Explanation:

Paired-samples t tests compare scores on two different variables but for the same group of cases; independent-samples t tests compare scores on the same variable but for two different groups of cases.

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An honest die is rolled. If the roll comes out even (2, 4, or 6), you will win $1; if the roll comes out odd (1,3, or 5), you wi
jenyasd209 [6]

Answer:

(a) 50%

(b) 47.5%

(c) 2.5%

Step-by-step explanation:

According to the honest coin principle, if the random variable <em>X</em> denotes the number of heads in <em>n</em> tosses of an honest coin (<em>n</em> ≥ 30), then <em>X</em> has an approximately normal distribution with mean, \mu=\frac{n}{2} and standard deviation, \sigma=\frac{\sqrt{n}}{2}.

Here the number of tosses is, <em>n</em> = 2500.

Since <em>n</em> is too large, i.e. <em>n</em> = 2500 > 30, the random variable <em>X</em> follows a normal distribution.

The mean and standard deviation are:

\mu=\frac{n}{2}=\frac{2500}{2}=1250\\\\\sigma=\frac{\sqrt{n}}{2}=\frac{\sqrt{2500}}{2}=25

(a)

To not lose any money the even rolls has to be 1250 or more.

Since, <em>μ</em> = 1250 it implies that the 50th percentile is also 1250.

Thus, the probability that by the end of the evening you will not have lost any money is 50%.

(b)

If the number of "even rolls" is 1250, it implies that the percentile of 1250 is 50th.

Then for number of "even rolls" as 1300,

1300 = 1250 + 2 × 25

        = μ + 2σ

Then P (μ + 2σ) for a normally distributed data is 0.975.

⇒ 1300 is at the 97.5th percentile.

Then the area between 1250 and 1300 is:

Area = 97.5% - 50%

        = 47.5%

Thus, the probability that the number of "even rolls" will fall between 1250 and 1300 is 47.5%.

(c)

To win $100 or more the number of even rolls has to at least 1300.

From part (b) we now 1300 is the 97.5th percentile.

Then the probability that you will win $100 or more is:

P (Win $100 or more) = 100% - 97.5%

                                   = 2.5%.

Thus, the probability that you will win $100 or more is 2.5%.

7 0
2 years ago
CAn yall help me with this ;-; im failing my math class and this will boost my grade
Tatiana [17]

Answer:

are there options if there are i can help

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A rectangular area measuring 24 meters by 16 meters is to be fenced. An 8 meter section of fence costs $75. How much will it cos
inysia [295]
The answer is $750. Which is option C.
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3 years ago
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Melanies blue notebook cover is 20 centimeters by 30 centimeters. She has a sticker for each letter in her name. Each sticker is
gizmo_the_mogwai [7]
Find the surface area of her notebook.

30 + 30 + 20 + 20 = 100

Now find the surface area of the square stickers.

2 + 2 + 2 + 2 = 8

So this is the surface area of one square, now multiply it by 8.

8 * 7 = 56

This is the surface area of all the stickers, now subtract it to the surface area of the notebook:

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4 0
3 years ago
1,265.19 is what percent of 699
Karo-lina-s [1.5K]

Answer:

<h2>1,265.19 is 181% of 699</h2>

Step-by-step explanation:

Calculate the ratio of 1265.19 and 699, then convert it to a percent (multiply by 100%):

\dfrac{1,265.19}{699}=1.81\\\\1.81\cdot100\%=181\%

4 0
3 years ago
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