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View Full Version : Normally Distributed Data w/ mean of 16, standard dev. of...

Jen123
04-27-2008, 03:49 PM
Question: A set of data is normally distributed with a mean of 16 and a standard deviation of 0.3. What percent of the data is between 15.2 and 16?

So far I got: I wrote the limits in terms of the mean: 16 - 0.8 = 15.2 and 16 - 0 = 16.
Then I solved for t: t(0.3)= 0.8, t=2.67 which equals 99.3%.

This was a test question I got it wrong but I'm not sure where I went wrong because I tried to follow the book and I continue to get the same answer.

Subhotosh Khan
04-27-2008, 03:53 PM
Question: A set of data is normally distributed with a mean of 16 and a standard deviation of 0.3. What percent of the data is between 15.2 and 16?

So far I got: I wrote the limits in terms of the mean: 16 - 0.8 = 15.2 and 16 - 0 = 16.
Then I solved for t: t(0.3)= 0.8, t=2.67 which equals 99.3%.

This was a test question I got it wrong but I'm not sure where I went wrong because I tried to follow the book and I continue to get the same answer.

Look at z-distribution table:

z\, = \, \frac {x\, - \, \mu}{\sigma}

Jen123
04-27-2008, 04:27 PM
I looked in my book for a z distribution table and i could not find it could you explain yourself a little more and identify your variables please I'm confused.
Thanks

stapel
04-27-2008, 04:36 PM
Look at z-distribution table:

z\, = \, \frac {x\, - \, \mu}{\sigma}
I looked in my book for a z distribution table and i could not find it could you explain yourself a little more and identify your variables please
How on earth is your statistics course discussing "distributions" and "normality", if it hasn't yet covered the concepts of (and variables for) "mean" and "deviation", and has no information on z-tables...? :shock:

Eliz.

Jen123
04-28-2008, 12:07 AM
I don't have a teacher, so I haven't discussed it with anyone. I just have a book and in the book it has nothing referring to a z table thats why I asked for further help. I still need the help of figuring out how to solve the problem the correct way, or could someone explain solving it with a z table.

stapel
04-28-2008, 07:18 AM
I don't have a teacher.... I just have a book and in the book it has nothing referring to a z table.... could someone explain solving it with a z table.
Unfortunately, we are not able to teach courses within this environment. Since the various lessons you've found online (to supplement your apparently quite odd book) have not been sufficiently helpful, it may be time to consider taking a class, or hiring a tutor, in order to obtain the hours of instruction you have requested.

My best wishes to you in your studies! :D

Eliz.
The text contains a single mathematical question about normally distributed data and attempts to solve it, but the correct answer is not provided in the text.
single_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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View Full Version : Normally Distributed Data w/ mean of 16, standard dev. of...

Jen123
04-27-2008, 03:49 PM
Question: A set of data is normally distributed with a mean of 16 and a standard deviation of 0.3. What percent of the data is between 15.2 and 16?

So far I got: I wrote the limits in terms of the mean: 16 - 0.8 = 15.2 and 16 - 0 = 16.
Then I solved for t: t(0.3)= 0.8, t=2.67 which equals 99.3%.

This was a test question I got it wrong but I'm not sure where I went wrong because I tried to follow the book and I continue to get the same answer.

Subhotosh Khan
04-27-2008, 03:53 PM
Question: A set of data is normally distributed with a mean of 16 and a standard deviation of 0.3. What percent of the data is between 15.2 and 16?

So far I got: I wrote the limits in terms of the mean: 16 - 0.8 = 15.2 and 16 - 0 = 16.
Then I solved for t: t(0.3)= 0.8, t=2.67 which equals 99.3%.

This was a test question I got it wrong but I'm not sure where I went wrong because I tried to follow the book and I continue to get the same answer.

Look at z-distribution table:

z\, = \, \frac {x\, - \, \mu}{\sigma}

Jen123
04-27-2008, 04:27 PM
I looked in my book for a z distribution table and i could not find it could you explain yourself a little more and identify your variables please I'm confused.
Thanks

stapel
04-27-2008, 04:36 PM
Look at z-distribution table:

z\, = \, \frac {x\, - \, \mu}{\sigma}
I looked in my book for a z distribution table and i could not find it could you explain yourself a little more and identify your variables please
How on earth is your statistics course discussing "distributions" and "normality", if it hasn't yet covered the concepts of (and variables for) "mean" and "deviation", and has no information on z-tables...? :shock:

Eliz.

Jen123
04-28-2008, 12:07 AM
I don't have a teacher, so I haven't discussed it with anyone. I just have a book and in the book it has nothing referring to a z table thats why I asked for further help. I still need the help of figuring out how to solve the problem the correct way, or could someone explain solving it with a z table.

stapel
04-28-2008, 07:18 AM
I don't have a teacher.... I just have a book and in the book it has nothing referring to a z table.... could someone explain solving it with a z table.
Unfortunately, we are not able to teach courses within this environment. Since the various lessons you've found online (to supplement your apparently quite odd book) have not been sufficiently helpful, it may be time to consider taking a class, or hiring a tutor, in order to obtain the hours of instruction you have requested.

My best wishes to you in your studies! :D

Eliz.
user
The text contains a single mathematical question about normally distributed data and attempts to solve it, but the correct answer is not provided in the text.

TYPE: SINGLE_QUESTION