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Anon25 [30]
3 years ago
6

A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 120 people who snore p

articipating in the experiment. Using a table of random digits, the researcher will randomly place the participants into three equally sized treatment groups suitable for comparison.
Which design is the most appropriate for this experiment?

A Randomly number each person with 1, 2, or 3. Assign the people labeled 1 to the device 1 group, the people labeled 2 to the device 2 group, and the people labeled 3 to the device 3 group.
B Number each participant from 1 to 120. Reading numbers from left to right from a random number table, identify 80 unique numbers from 1 to 120. Assign the people whose labels are the first 40 numbers to the device 1 group. Assign the people whose labels are the second 40 numbers to the device 2 group. Assign the remaining people to the device 3 group.
C Number each participant from 000 to 119. Reading numbers from left to right on a random number table and looking at three digits at a time, identify 80 unique three-digit numbers from 000 to 119. Assign the people whose labels are the first 40 numbers to the device 1 group. Assign the people whose labels are the second 40 numbers to the device 2 group. Assign the remaining people to the device 3 group.
D Select a participant, and identify the first digit reading numbers from left to right on a random number table. If the first digit is a 1, 2, or 3, assign the participant to the device 1 group. If the first digit is a 4, 5, or 6, assign the participant to the device 2 group. If the first digit is a 7, 8, or 9, assign the participant to the device 3 group. If the first digit is a 0, skip that digit and move to the next one to assign the participant to a group. Repeat this process for each participant.
Mathematics
2 answers:
solniwko [45]3 years ago
6 0

Answer:

C

Step-by-step explanation:

edge 2021

vampirchik [111]3 years ago
5 0

Answer:

A

Step-by-step explanation:

A is the less complicated one and the simplest but also the most efficient and the one that makes the most sense.

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The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the f
Verizon [17]

Answer:

CI(95%): [205,5;400.8]dolars

Step-by-step explanation:

Hello!

So you need to construct a confidence interval for the average family dental expenses (μ) using the sample given in the problem. To estimate it you need to first choose a statistic. For this small sample, considering that the variable has a normal distribution (I made a quick Shapiro Wilks test, with p-value 0.3234, you can assume normality) the best statistic to use is the Student's t-test.

t= [x(bar)-μ]/S/√n ≈ t₍ₙ₋₁₎

The formula for the confidence interval to estimate the mean is

x(bar)±t_{n-1; 1-\alpha/2}* (S/√n)

<u>The critical value is from a t-distribution with 11 degrees of freedom </u>

±t_{n-1; 1-\alpha/2} = t_{11; 0.975} = 2.201

<em> >remember since it's two-tailed, to get the right critical value you have to divide α by 2. So in the text, you received a confidence level of 1-α=0.95 so α=0.05 then α/2=0.025 and 1-α/2=0.975</em>

To construct the interval, you need to first calculate the sample mean and the standard derivation.

<u>Sample</u>

115; 370; 250; 593; 540; 225; 117; 425; 318; 182; 275; 228

n= 12

∑xi = 3638 ∑xi² = 1362670

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S²= 1/n-1*[∑xi²- (∑xi)²/n] = 1/11 * [1362670-((3638)²/12)] = 23614.47 dolars²

S= 153.67 dolars

<u>Confidence interval (95%)</u>

303.17± 2.201* (153.67/√12)

[205,5;400.8]dolars

I hope you have a SUPER day!

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Use the Pythagorean theorem since you are working with a right triangle:

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\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c

Simplify \sqrt{1}1 . Any root of 1 is 1:

c=c= ±11 *

c=1,-1c=1,−1

4 0
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