Week 6 Lecture Statistics For Decision Making B Heard Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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) Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard Week 6 Lab Part 1………. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard Week 6 Lab Birth Weights in America, Page 245 Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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 .9373 - .1112 which equals our answer .8261 Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard Week 6 Lab Part 2………. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard Week 6 Lab Age Distribution in the United States, Page 277 Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard Week 6 Lab Age Distribution in the United States, Number 3 Does this look like a “Bell-Shaped” curve to you? Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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????? Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard Week 6 Lab Part 3………. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard Week 6 Lab Finding z and t scores, Part 3 Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard Week 6 Lab Part 4………. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard Week 6 Lab Bob’s Candies (Using Confidence Intervals…), Part 4 Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard Week 6 Lab Bob’s Candies, Number 2 In answering this question, take a look at the sample size! Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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 -1.923=______ The Right endpoint would be x+E=Mean +1.923=____ So, you can be 95% confident that the true mean amount the citizens spend per year is between ____and ______. Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard 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). Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard Week 6 Lab Bob’s Candies, Number 6 On this question, compare Bob’s results (his data) to the national average ($75 per person). Not to be used, posted, etc. without my expressed permission. B Heard

Not to be used, posted, etc. without my expressed permission. B Heard Week 3 Quiz S STAT CAVE See you next week: “Same Stat Time, Same Stat Channel” Not to be used, posted, etc. without my expressed permission. B Heard

I will post charts at: 4stats.wordpress.com