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- Z Example 42. The mean and standard deviation of 20 items was found Later, it was found that item 12 was misread as 8. Calculate the correct mean and standard deviation. be 10 and 2, respectively.Terri Vogel, an amateur motorcycle racer, averages 129.42 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.29 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible. b. Find the proportion of her laps that are completed between 131.37 and 133.62 seconds. ? c. The fastest 3% of laps are under ? seconds. d. The middle 40% of her laps are from ? seconds to ? secondK Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 Click to view page 1 of the table. Click to view page 2 of the table. 0.7 Q
- Suppose you studying the relationship between time studied for the LSAT and score on the LSAT. To study this you randomly select 9 students who took the LSAT, ask them how long they prepared for the exam and then record their score. Hours Studied 80100120120150160180200210 Score (in points) 140131138143158149162161157 (a) Draw a scatterplot for this data. Make sure to label your axes. (b) Calculate the correlation coefficient for this data. Is there enough evidence for a correlation? Why or why not? (c) Give the equation of the least squares regression line for this data. (d) Interpret the slope of the LSR in the context of this situation. (e) What is the predicted score for a student who studies for 140 hours? Would you trust this prediction? Why or why not? (f) Calculate the residual for the LAST data point in your sample, the student who studied 210 hours and got a score of 157 points. Make sure to include units for your residual.Terri Vogel, an amateur motorcycle racer, averages 129.97 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.26 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible.b. Find the proportion of her laps that are completed between 128.02 and 129.92 seconds. c. The fastest 2% of laps are under seconds.d. The middle 40% of her laps are from seconds to seconds.3.3 Solve the below problem: A manufacturing plant uses a specific bulk product. The amount of product used in one day can be modelled by an exponential distribution with B = 2 (measurements in tons). Find the probability that the plant will use more than 2 tons on a given day. Interpret your answer.
- Components that are critical for the operation of electrical systems are replaced immediately upon failure. Suppose that the life time of a certain such component can be modeled by a lognormal distribution with mean u = 500 hours and standard deviation o = 100 hours. Find the median life time of the components. (Use four digits after the decimal point, e.g. 0.1234) Hint: You need to start by finding the values of 0 and w?. Type your answer..Please in detail explanationThe class outing ticket includes a snack-pack with three items, a cooldrink, chocolate and then chips or popcorn. The tree-diagram below indicates the possible choices of the snack pack. Ms Basson pre-packed the snack pack. TREE DIAGRAM: POSSIBLE CHOICE OF SNACK PACK Type of cooldrink Fanta (F) Sprite (S) Chocolate choice Aero (A) Tex (T) Aero (A) Tex (T) Chips or popcorn Chips (C) Popcorn (P) Chips (C) Popcorn (P) Chips (C) Popcorn (P) Chips (C) Popcorn (P) Possible Outcome for the snack pack FAC A FTC FTP B с STC Study the tree diagram and answer the questions that follow: STP