Question

2. The following table shows the relative percent distribution for the time in seconds that it took 200 children with attention deficit disorder (ADD) to show symptoms of the disorder after a manipulation. Time (in seconds) | Relative Percent 1-6 | 5% 7-12 | 5% 13-18 | 20% 19-24 | 20% 25-30 | 30% 31-36 | 20% Assume that researchers determined that children who showed symptoms of ADD in 18 seconds or less qualified to participate in a new cognitive behavioral therapy trial thought to help reduce ADD symptoms. How many children qualify for this new treatment? Hint: First convert the data to a cumulative frequency distribution.

          2. The following table shows the relative percent distribution for the time in seconds
that it took 200 children with attention deficit disorder (ADD) to show symptoms
of the disorder after a manipulation.

Time (in seconds) | Relative Percent
1-6 | 5%
7-12 | 5%
13-18 | 20%
19-24 | 20%
25-30 | 30%
31-36 | 20%

Assume that researchers determined that children who showed symptoms of
ADD in 18 seconds or less qualified to participate in a new cognitive behavioral
therapy trial thought to help reduce ADD symptoms. How many children qualify
for this new treatment? Hint: First convert the data to a cumulative frequency
distribution.

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2. The following table shows the relative percent distribution for the time in seconds
that it took 200 children with attention deficit disorder (ADD) to show symptoms
of the disorder after a manipulation.

Time (in seconds) | Relative Percent
1-6 | 5%
7-12 | 5%
13-18 | 20%
19-24 | 20%
25-30 | 30%
31-36 | 20%

Assume that researchers determined that children who showed symptoms of
ADD in 18 seconds or less qualified to participate in a new cognitive behavioral
therapy trial thought to help reduce ADD symptoms. How many children qualify
for this new treatment? Hint: First convert the data to a cumulative frequency
distribution.

Added by Sean M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Jen H

09/12/2022

Step 1

To do this, we need to calculate the cumulative percent for each time interval. The cumulative percent is the sum of the relative percent up to that interval. Time (in seconds) Relative Percent Cumulative Percent 1-6 5% 5% 7-12 Show more…

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The following table shows the relative percent distribution for the time in seconds that it took 200 children with attention deficit disorder (ADD) to show symptoms of the disorder after a manipulation. Time (in seconds) | Relative Percent 1-6 | 5% 7-12 | 5% 13-18 | 20% 19-24 | 20% 25-30 | 30% 31-36 | 20% Assume that researchers determined that children who showed symptoms of ADD in 18 seconds or less qualified to participate in a new cognitive behavioral therapy trial thought to help reduce ADD symptoms. How many children qualify for this new treatment? Hint: First convert the data to a cumulative frequency distribution.

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00:01 Okay, so here we have a frequency table or a percent distribution.

00:07 So we have five, we're looking at this with 200 children with add, and we're looking at how long it took them to show symptoms of the disorder after a manipulation.

00:19 So 5 % showed between 1 to 6 seconds.

00:25 7 to 12 showed between 5 seconds.

00:28 So if i want to write this as a cumulative probability distribution, then i could say like in less than 12 seconds, which would be anything from one second to 12 seconds, right? and i just add these probabilities together.

00:46 5 plus 5, 10%.

00:48 So 10 % in less than 12 seconds.

00:52 Then if i want to say less than 18 seconds, i add up everything with 18 seconds and before it.

01:02 20 plus 5 plus 5 so 30%.

01:08 Then if i want to do anything before 24 seconds, so less than 24 seconds, i add up all the probabilities.

01:20 So 20 % between 19 and 24 and i add up all the probabilities before that.

01:25 So 20 plus 20 is 40 plus 5 plus 5 is 50.

01:28 So 50 % of students showed symptoms in less than 24 seconds.

01:37 Then less than 30 seconds.

01:43 I'm now adding those who showed symptoms between 25 and 30 seconds.

01:48 So 50 plus 30, so that's going to be 80 % of students showed symptoms in 30 seconds or less...

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