OPTION 3: Confidence Interval on the Mean – one sample (T-Interval) A) Introduction – introduce the topic and yourself: 5% of score Explicitly identify the following: 1) Parameter of interest: __________________________ 2) Population of interest (be as specific as necessary): ___________________________ 3) Variable of interest: _____________________________ 4) Then write a paragraph or two of introduction to your paper. In the paragraph, include at least the following information: Your research objective, your interest in the topic. Describe in detail where you found your sample and specifically how you chose which individuals to survey. B) Data Sets – Present your organized data and sample statistics: 15% 1) DATA SET A: a) Show the frequency distribution of your full data set. Call it Data Set A. It must have at least 80 individuals: n > 80. You can use either a table or a histogram to show the distribution: Identify b) sample size: __________ c) mean :___________ d ) standard deviation: ____________ e) Estimated Standard Error of the means (SE): ______________________. Round each to four decimal places if needed. 2) DATA SET B: Select some of the data points from Data Set A to create smaller data set. Call this Data Set B. It should have about half of the values from Data Set A. a) Show the frequency distribution of Data Set B. You can use either a table or a histogram to show the distribution. USE THE SAME GROUPING (CLASSES) FOR EACH DATA SET: Identify b) sample size: __________ c) mean :___________ d ) standard deviation: ____________ e) Estimated Standard Error of the means (SE): ______________________. Round each to four decimal places if needed. f) Describe specifically how you chose the individuals from Data Set A to create Data Set B. 3) DATA SET C: Select between 10 and 20 data values from Data Set A to create a still smaller data set. Call this Data Set C. a) Show the frequency distribution of Data Set C. You can use either a table or a histogram to show the distribution. USE THE SAME GROUPING (CLASSES) FOR EACH DATA SET Identify b) sample size: __________ c) mean :___________ d ) standard deviation: ____________ e) Estimated Standard Error of the means (SE): ______________________. Round each to four decimal places if needed. f) Describe specifically how you chose the individuals from Data Set A to create Data Set C. C) The Intervals – Construct the Confidence Intervals for three different sample sizes and three different levels of confidence: 45% 1) Degrees of freedom (df) – determine the degrees of freedom for each Data Set. Data Set A: df = __________ Data Set B: df = __________ Data Set C: df = __________ 2) Choose three confidence levels, between 80% and 99%. C-level 1: __________ C-level 2: __________ C-level 3: __________ 3) Determine for each level of confidence you chose. .