4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 1 4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 Remember: 2 4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 Sample vs. Population Standard Deviation If you are asked to find the standard deviation of a given set of data you use the population standard deviation If your data is a sample of a population you use the sample standard deviation. 3 4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 1.) Dan’s scores in Chemistry this semester were rather inconsistent: 100, 85, 55, 95, 75, 100. For this population, how many scores are within one standard deviation of the mean? http://firatkim.com/home/img/400pxP_chemistry.png 4 4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 2. Professor Halen has 184 students in his college mathematics lecture class. The scores on the midterm exam are normally distributed with a mean of 72.3 and a standard deviation of 8.9. How many students in the class can be expected to receive a score between 81 and 90? Express answer to the nearest student. http://api.ning.com/files/5rOKh5yrOt2xkd74obIK7MxM1hk9HoBOEvJgTwIevCQcluB2Taxi9 ASiAcRyTch0rFeU15EZ6mDUy9dykANFBkuXXO6YxsxD/Math.jpg 5 4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 3.) Five hundred values are normally distributed with a mean of 125 and a standard deviation of 10. a. What percent of the values lies in the interval 115 - 135, to the nearest percent? b. What percent of the values is in the interval 100 - 150, to the nearest percent? c. What interval about the mean includes 95% of the data? d. What interval about the mean includes 50% of the data? 6 4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 4.) The following are the number of seats available for the given airfare on a flight to Orlando from Buffalo: What is the mean for this set of data? http://www.abcteach.com/free/a/airplane1rgb.jpg Find the population standard deviation to the nearest tenth: What is the total number of seats that lie within one standard deviation of the mean? 7 4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 5.) The weights of ten football players are given below: 200, 195, 235, 205, 265, 240, 210, 250, 180, 250 Find the mean of the weights: http://www.nd.edu/~afreddos/images/Buffalo_Bills_Logo.gif Find the population standard deviation for this set of data to the nearest tenth: How many weights differ from the mean by more than one standard deviation? 8 4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 6.) In a certain school district, the ages of all new teachers hired during the last 5 years are normally distributed. Within this curve, 95.4% of the ages, centered about the mean, are between 24.6 and 37.4 years. Find the mean age and the standard deviation of the data. http://satnexschool.isti.cnr.it/images/School%20Bus%20%20Cartoon%207.jpg 9 4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 Homework p.512 #13, 14 p. 543 #24 10 4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 11 4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 12 4 b Normal Curve Day 2 Sample vs Pop.notebook May 07, 2014 13
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