7. What are the stationary distributions for the following graph? 0.6 0-4 2 0.5 40.5 0.5 0.5 07 0.5 6 03 8
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- 5. The graph of the chi-square distribution with 5 degrees of freedom is shown in Fig. 1. Find the values xỉ and x for which (a) the shaded area on the right = 0.05 (b) the total shaded area = 0.05 (c) the shaded area on the left = 0.10 (d) the shaded area on the right = 0.01 Figure 14:18 K The data to the right represent the top speed (in kilometers per hour) of all the players (except goaltenders) in a certain soccer league. Construct (a) a relative frequency distribution (b) a frequency histogram, and (c) a relative frequency histogram. What percentage of players had a top speed between 26 and 29.9 km/h? What percentage of players had a top speed less than 13.9 km/h? (a) Construct a relative frequency distribution. Speed (km/hr) Relative Frequency 10-13.9 14-17.9 18-21.9 22-25.9 26-29.9 30-33.9 (Round to four decimal places as needed.) (b) Choose the correct frequency histogram below. O A. C. O A. Frequency C. Frequency 300- 200- 100- 300 200- 100+ 0.6 0.4- 0.2- 18 22 26 30 34 Speed (km/hr) (c) Choose the correct relative frequency histogram below. 0- 10 0.6 0.4- 0.2- 0- 0- 10 14 0- 10 10 14 Relative Frequency 18 22 26 30 34 Speed (km/hr) 14 18 22 26 30 34 Speed (km/hr) Relative Frequency 14 ||| 18 22 26 30 34 Speed (km/hr) = B. D. O OB. D. Frequency Frequency…Examples 15. The AM of the following distribution is 1.46. No. of Accidents 2 3 4 Total No. of Days Find f, and f, 46 f2 25 10 200
- 25 of 30 The following graph shows the mean change in mass of two groups of animals fed on different diets over a period of 2 years: Time course of mass change 275 250 225 200 175 150 125 100 0 3 69 12 15 18 21 24 Time (months) Which of these is the most misleading property of this graph? OThe errors vary between data points. O A best fit curve wasn't shown The interpolating lines have different styles. False zero None of these is relevant to this graph. Mass (g) HH H HH HH HHnumber 28 The following data shows the price of a certain stock over the last 8 months. Month Price 1 2.10 2 1.98 3 2.01 4 1.89 5 1.90 6 1.89 7 1.72 8 1.65 (a) Develop a scatter diagram and draw a trend line through the points. A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter diagram has 8 points. A line goes through the center of the pattern of points. A pattern goes down and right becoming more steep from (1, 1.7) to (8, 1.25). A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter diagram has 8 points. A line goes through the center of the pattern of points. A pattern goes down and right from (1, 2.1) to (8, 1.65). A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter…Q.5 The following distribution shows the drying times in hours of a certain brand of latex paint. Draw its frequency curve and comment on it about the trend of drying times. Drying Times (Hours) Frequency 2.0-2.4 2.5-2.9 3.0-3.4 3.5-3.9 4.0-4.4 4.5-4.9 12 15 20 25 18 10