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Labs changed to incorporate mini-tabs.

Normal Distribution Lab

Name:

I student learning outcome:

* The student will compare and contrast empirical data and a theoretical distribution.

* Find Probabilities for specific Normal Distributions

Ii the situation

It is generally accepted that the mean body temperature is 98.6 degrees. If a sample of size 100 resulted in a sample mean of 98.3 degrees with a standard deviation of 0.64 degrees. Does this sample suggest that the mean body temperature is actually lower than 98.6 degrees?

Iii simulation: to answer the question, complete the following simulation.

Using Minitab (Calc ->Random Data->Normal), generate 100 values from a normally distributed population with a mean of 98.6 degrees and a standard deviation of 0.64 degrees (using the sample standard deviation given in the situation since the population deviation is unknown). Repeat the simulation 9 more times for a total of 10. (Requesting the data be stored in c2-c10 will generate the remaining 9 columns of data with one command. )

Iv data collection

Use Stats ->Basic Stats ->Display Descriptive and select all 10 columns to determine the sample mean for each data set. Record the values below and include the session window with this lab.

x ¯ 1 size 12{ {overline {x}} rSub { size 8{1} } } {} = _________ x ¯ 2 size 12{ {overline {x}} rSub { size 8{2} } } {} = _________ x ¯ 3 size 12{ {overline {x}} rSub { size 8{3} } } {} = _________ x ¯ 4 size 12{ {overline {x}} rSub { size 8{4} } } {} = _________

x ¯ 5 size 12{ {overline {x}} rSub { size 8{1} } } {} = _________ x ¯ 6 size 12{ {overline {x}} rSub { size 8{2} } } {} = _________ x ¯ 7 size 12{ {overline {x}} rSub { size 8{3} } } {} = _________ x ¯ 8 size 12{ {overline {x}} rSub { size 8{4} } } {} = _________

x ¯ 9 size 12{ {overline {x}} rSub { size 8{1} } } {} = _________ x ¯ 10 size 12{ {overline {x}} rSub { size 8{2} } } {} = _________

V analyze the data – using complete sentences.

Based on your simulation, do you think that a sample of size 100 with a mean temperature of 98.3 is reasonable? Answer using 2 – 3 complete sentences.

Vi finding probabilities for normal distribution

For each of the following, first write the question in symbolic form and then using Minitab (Calc ->Probability Distributions ->Normal), find the probabilities. (attach your session window to this lab)_____________________

1. Given a population with a normal distribution, a mean of 0, and a standard deviation of 1, find the probability of a value less than 1.25 _____________________

2. Given a population with a normal distribution, a mean of 25, and a standard deviation of 3, find the probability of a value greater than 21.25. _____________________

3. Given a population with a normal distribution, a mean of 100, and a standard deviation of 20, find the probability of a value between 87 and 122. _____________________

4. Given a population with a normal distribution, a mean of 150, and a standard deviation of 35, what value has an area of 0.34 to the left? _____________________

5. Given a population with a normal distribution, a mean of 150, and a standard deviation of 35, what value has an area of 0.34 to the right? _____________________

6. Given a population with a normal distribution, a mean of 15, and a standard deviation of 2, what value has an area of 0.8 to the left? _____________________

7. Given a population with a normal distribution, a mean of 200, and a standard deviation of 15, which two values form the upper and lower boundary of the middle 80%?___________________

Questions & Answers

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Mostly, they use nano carbon for electronics and for materials to be strengthened.
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Graphene has a hexagonal structure
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I start with an easy one. carbon nanotubes woven into a long filament like a string
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AMJAD
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Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
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In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
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Source:  OpenStax, Collaborative statistics (with edits: teegarden). OpenStax CNX. Jul 20, 2009 Download for free at http://legacy.cnx.org/content/col10561/1.3
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