Project #106714 - Stats

1. Homework - Exploratory Analysis . Due 2/2/16 Data Set Attached- You won't need a data set for second part of this assignment. The data attached is for the first part. This is a chance to use those tools you studied last week to analyze data and make comparisons, On pages 592 and 593 in the text, you will find health statistics for men and women. In this assignment, you are to compare the heart rates of men to the heart rates of women. This is a writing assignment that should be completed and submitted in a WORD document via blackboard. You should include: the data, distribution tables, histograms, boxplots, and a collection of summary measures in order to describe the heart rates of men and to describe the heart rates for women. This should be done in a manner that makes it easy to make direct comparisons between the heart rates of men and the heart rates of women. This document should be self sufficient and address the following questions. •Is there a difference? •What is the difference? •What explains this difference? Make your case using the statistical tables, graphs, and numerical summaries. (Do not assume the reader will have access to anything other than the document your provide. They will not have the book and should not know anything of this assignment. You are not trying to teach statistics, but use the statistics.) 2. Lights Out Larry(LOL) 1) Lights Out Larry is the all-time leading 3-point shooter for his high school basketball team. One reason is that he is always practicing his 3-point shots. At the end of each practice, he attempts 250 3-point shots before turning the Lights Out and going home. The data below represents the number of shots Lights Out Larry made after each of the 40 practices this past season. a. Construct a relative frequency, and cumulative frequency distributions for the data. b. Construct a histogram for the data. (label axes appropriately) c. Is it reasonable to assume that this data is normally distributed? Explain your answer. 182 174 177 182 171 171 191 178 193 170 178 173 161 163 190 179 179 182 198 186 168 169 188 171 182 177 185 150 175 178 169 159 185 181 162 174 158 170 196 165 2) There are many different types of hot dogs produced in the U.S. The data to the right represents the published mean calorie contents of the various brands that produce beef hot dogs and the mean calorie contents of various brands that produce poultry hot dogs. (Treat these as samples.) a. Compute the mean calorie content for each type of hot dog. (beef and poultry) b. Compute the median calorie content for each type of hot dog. (beef and poultry) c. Compute the standard deviation for the calorie content for each type of hot dog. (beef and poultry) d. Compute the coefficient of variation for the calorie content for each type of hot dog. (beef and poultry) e. Compute the five number summary for the calorie content for each type of hot dog. (beef and poultry) f. Compute the interquartile range for calorie content for each type of hot dog. (beef and poultry) Beef Poultry X Y 186 129 181 132 176 102 149 106 184 94 190 102 158 87 139 99 175 107 148 113 152 135 111 142 141 86 153 143 190 152 157 146 131 144 149 135 132 g. Construct side-by-side boxplots. (These should make comparisons easy.) 90 100 110 120 130 140 150 160 170 180 190 Calories h. Based upon the totality of your analysis, compare the calorie contents of beef and poultry hot dogs. i. Suppose that you were to go to a cook-out where there were two grills. On one grill, there are only beef hot dogs being grilled. On the other grill, there are only poultry hot dogs being grilled. Suzy is very calorie conscious because of her new diet. i. To which grill should Suzy go for her hot dog? ii. If Lights Out Larry (Suzy’s boyfriend) were to go to the other grill, could Suzy be absolutely sure that the calorie content of her hot dog is less than the calorie content of Larry’s hot dog? Explain your answer. 3) Assume that SAT scores are normally distributed (bell-shaped) with a mean of 1500 and standard deviation of 250. Also, assume that ACT scores are normally distributed (bell-shaped) with a mean of 19 and standard deviation of 4. a. Sketch and label bell-shaped distributions for the SAT and the ACT scores. b. Lights Out Larry hopes to attend a small private university in Northeast Florida. This school requires a score of 17 or higher on the ACT. What percent of all students taking the ACT would meet this minimum requirement for acceptance at this small private university in Northeast Florida? c. In order to score among the highest 25%, what must Lights Out Larry score on the SAT? d. Suzy wants to follow Larry and attend the same university. In order to do this, she will need to earn an academic scholarship. To be illegible for such a scholarship, she must score at least 26 on the ACT. By the deadline, Suzy will only have taken only the SAT. What score must she have on the SAT in order to argue that she should qualify for the scholarships? Explain your answer.

Subject Mathematics
Due By (Pacific Time) 02/02/2016 08:00 pm
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