1. Week 6 Lecture Statistics For Decision Making
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Week 6 Lab
There are four parts to the lab this week:
Part 1: Normal Distributions and Birth Weights in America
Part 2: Central Limit Theorem and Age Distributions in the United States
Part 3: Finding z and t scores for Confidence Intervals
Part 4: Bob’s Candies (Using Confidence Intervals to decide a course of action)
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Week 6 Lab
Part 1……….
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Week 6 Lab
Birth Weights in America, Page 245
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Week 6 Lab
Birth Weights in America, Number 1, part a
You can see that the graph has a mean of less than 7.5, so the 37 to 39 Weeks Gestation period is the obvious choice.
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Week 6 Lab
Birth Weights in America, Number 2, part b We will identify the mean birth weight and standard deviation for the 32 to 35 week gestation period for this problem. The mean is 5.73 lbs and the standard deviation is 1.48 lb.
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Week 6 Lab
Birth Weights in America, Number 2, part b continued
Using the NORMDIST function with the point in question, the mean, the standard deviation, and the cumulative value “TRUE” gives the percent of babies under 5.5 lbs. The distribution “fills” from left to right.
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Week 6 Lab
Birth Weights in America, Number 3, part b We will identify the mean birth weight and standard deviation for the over 42 weeks gestation period for this problem. The mean is 7.65 lbs and the standard deviation is 1.12 lb.
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Week 6 Lab
Birth Weights in America, Number 3, part b continued
Using the NORMINV function with the .9 (left to right) to find the point at which 90% of the values are below and 10% above, the mean, and the standard deviation. The distribution “fills” from left to right.
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Week 6 Lab
Birth Weights in America, Number 4, part b We will identify the mean birth weight and standard deviation for the 37 to 39 week gestation period for this problem. The mean is 7.33 lbs and the standard deviation is 1.09 lb.
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Week 6 Lab
Birth Weights in America, Number 4, part b continued
Using the NORMDIST function with the points in question, I subtracted the value for 6 from the value for 9. This was which equals our answer .8261
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Week 6 Lab
Birth Weights in America, Number 5, part b We will identify the mean birth weight and standard deviation for the 32 to 35 week gestation period for this problem. The mean is 5.73 lbs and the standard deviation is 1.48 lb.
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Week 6 Lab
Birth Weights in America, Number 5, part b continued
Using the NORMDIST function with the point in question, the mean, the standard deviation, and the cumulative value “TRUE” gives the percent of babies under 3.3 lbs. The distribution “fills” from left to right.
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Week 6 Lab
Part 2……….
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Week 6 Lab
Age Distribution in the United States, Page 277
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Week 6 Lab
Age Distribution in the United States, Number 1
The answer for number 1 is given to us. Make sure you see how it was calculated.
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Week 6 Lab
Age Distribution in the United States, Number 2
You will be finding the mean or average for the sample means in number 2. Use the Sample Means given in the lab’s Excel file.
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Week 6 Lab
Age Distribution in the United States, Number 3
Does this look like a “Bell-Shaped” curve to you?
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Week 6 Lab
Age Distribution in the United States, Number 4
On this one, use your same approach to creating a histogram that you did in a previous lab. You will use the sample data, set up your classes, find the frequencies, then create your histogram.
Does it look like a normal curve?????
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Week 6 Lab
Age Distribution in the United States, Number 5
The answer for number 5 is given to us. Make sure you see how it was calculated.
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Week 6 Lab
Age Distribution in the United States, Number 6
You will be finding the standard deviation for the sample means in number 2. Use the Sample Means given in the lab’s Excel file and compare to the Central Limit Theorem in your book. What does the Central Limit Theorem say? Discuss how it applies here.
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Week 6 Lab
Part 3……….
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Week 6 Lab
Finding z and t scores, Part 3
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Week 6 Lab
Finding z and t scores, Number 1b
Just input your value under Confidence level and the z-score is calculated for you! Make sure you look at the formula.
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Week 6 Lab
Finding z and t scores, Number 2b
Just input your value under Confidence level and sample size and the t-score is calculated for you! Make sure you look at the formula.
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Week 6 Lab
Part 4……….
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Week 6 Lab
Bob’s Candies (Using Confidence Intervals…), Part 4
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Week 6 Lab
Bob’s Candies, Number 1
Use the “average” function and the “stdev” function in Excel to find the sample mean and sample standard deviation.
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Week 6 Lab
Bob’s Candies, Number 2
In answering this question, take a look at the sample size!
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Week 6 Lab
Bob’s Candies, Number 3
Based on your answer for number 2, choose the appropriate values using the same Excel functions you used in Part 3 of the lab.
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Week 6 Lab
Bob’s Candies, Number 4
For 95% you would
Use the formula E=Zc*(s/sqrt n), which =1.96*(6.205/6.325)=1.923
Then find your endpoints, the Left endpoint would be x-E=Mean =______
The Right endpoint would be x+E=Mean =____
So, you can be 95% confident that the true mean amount the citizens spend per year is between ____and ______.
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Week 6 Lab
Bob’s Candies, Number 5
On this one I would take a look at say the 99% lower limit (left hand limit). Discuss this. You would do this the same way you did the previous question (Number 4).
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Week 6 Lab
Bob’s Candies, Number 6
On this question, compare Bob’s results (his data) to the national average ($75 per person).
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Week 3 Quiz S
STAT CAVE
See you next week:
“Same Stat Time, Same Stat Channel”
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35. I will post charts at:
4stats.wordpress.com