5. A university mathematics department gives a freshman calculus examination that allows those who pass to receive college credit for calculus. Scores for the exam are normally distributed with a mean of 25 and standard deviation of 6. Twenty students have signed up to take the exam. What is the probability that their mean score will be 28 or higher? (8 pts.)
Strength of Solder Joints (in lb) Observation no. Strength at 6 yrs evs Strength at Low Solder Temperature High Solder Temperature 65.3 62.0 2 65.6 64.5 3 64.3 67.3 4 64.8 65.1 66.1 61.2 6 64.8 63.5 67.1 67.5 TIO 8 64.3 69.7 63.4 66.4 10 66.7 64.6 U228The data for the project is provided at the end of this document. That data set represents a sample, not a population. Questions 1 - 3 reference some part of that data. 1. Construct a frequency table and frequency histogram for Nicotine Content of the sample of cigarettes. Use a first class of 1 - 3. On the histogram, use a ruler to draw the axes and the bars. Mark units on the axes and label the values. Include a title. (16 pts.) 2. A. Find the five-number summary for the Carbon Monoxide content of the sample of cigarettes. List the values. Draw a boxplot to illustrate this. Be sure to show an evenly marked scale below it. Use a ruler to draw the figure. Comment on its shape, i.e. does it appear to be skewed left, skewed right, or symmetrical? (12 pts.) B. Compute the IQR. UF, and LF for the Carbon Monoxide content of the sample of cigarettes. Does the data have any outliers? If so, list them. (12 pts.) C. State the mode(s) of the carbon monoxide content. (3 pts.) D. Compute the range of the carbon monoxide content. (3 pts.)5. A university mathematics department gives a freshman calculus examination that allows those who pass to receive college credit for calculus. Scores for the exam are normally distributed with a mean of 25 and standard deviation of 6. Twenty students have signed up to take the exam. What is the probability that their mean score will be 28 or higher? (8 pts.)Brand Cigarette Data (all quantities are in mg per cigarette) American Filter Nicotine Tar Carbon Monoxide 16 Benson and Hedges | 16 1.2 15 Camel 1.2 15 Capri 16 1.0 17 Carlton 9 0.8 6 Cartier Vendome 0.1 1 Chelsea 8 0.8 8 10 GPC Approved 0.8 10 16 Hi-Lite 1.0 17 14 Kent 1.0 13 13 2.0 13 Lucky Strike 13 1.1 13 Malibu 15 1.2 15 Marlboro 16 1.2 15 Merit 9 0.7 11 Newport Stripe 11 0.9 15 Now 2 0.2 3 Old Gold 18 1.4 18 Pall Mall 15 1.2 15 Players 13 1.1 12 Raleigh 15 1.0 16 Richland 17 1.3 16 Rite 9 0.8 10 Silva Thins 12 1.0 10 Tareyton 14 1.0 17 Triumph 5 0.5 7 True 6 0.6 7 Vantage 8 0.7 11 Viceroy 18 1.4 15 Winston 16 1.1 18
