2. The following data represent the lifetimes (in hours) of a sample of 40 transistors: 112, 121, 126, 108, 141, 104, 136, 134 121, 118, 143, 116, 108, 122, 127, 140 113, 117, 126, 130, 134, 120, 131, 133 118, 125, 151, 147, 137, 140, 132, 119 110, 124, 132, 152, 135, 130, 136, 128 Analyze the given problem using frequency distribution
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![2. The following data represent the lifetimes (in hours) of a sample of 40 transistors: 112, 121, 126,
108, 141, 104, 136, 134 121, 118, 143, 116, 108, 122, 127, 140 113, 117, 126, 130, 134, 120, 131,
133 118, 125, 151, 147, 137, 140, 132, 119 110, 124, 132, 152, 135, 130, 136, 128
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- The following data represent the energy consumption of coal (in billions of Btu) by each of the 50 states and the District of Columbia. 613 723 267 60 372 15 19 92 306 38 413 8 736 156 478 264 1015 329 679 1498 52 1365 142 423 365 350 445 937 776 1267 0 26 356 173 373 335 34 250 33 84 253 84 1224 743 582 2 33 426 474 Use the data to construct i. A frequency distribution and a relative frequency distribution with 7 classes.It is a collection of all possible individuals, objects, or measurements of interest.Table of number of drivers involved in fatal crashes Weather Normal Rain Snow/Sleet Other Unknown 3200 Daylight 14,616 861 227 147 800 Light Condition Dark, but Lighted 5669 469 56 67 258 Dark 8284 695 155 231 564 Dawn/Dusk Other 1249 54 6 80 18 33 79 9 9 148
- 3.23 The following data represent the numbers of tornadoes that touched down during 1950 to 1994 in the 12 states that had the most tornadoes during this period (Storm Prediction Center, 2009). The data for these states are given in the following order: CO, FL, IA, IL, KS, LA, MO, MS, NE, OK, SD, TX. 1113 2009 1374 1137 2110 1086 1166 1039 1673 2300 1139 5490 a. Calculate the mean and median for these data. b. Identify the outlier in this data set. Drop the outlier and recaleulate the mean and median. Which of these two summary measures changes by a larger amount when you drop the outlier? e. Which is the better summary measure for these data, the mean or the median? Explain.2. The following data represent the number of live multiple-delivery births (three or more babies) in 2012 for women 15 to 54 years old.: Displayed in the order of (age, number of multiple births), this may be easier to read in a table or chart form that you create for yourself. (15-19, 44), (20-24, 404), (25-29, 1204), (30-34, 1872), (35-39, 1000), (40-44, 332), (45-49, 44), (50-54, 19) (a) Approximate the mean for age. (b) Approximate the standard deviation for age. (c) Draw a frequency histogram of the data to verify that the distribution is bell shaped. (d) According to the Empirical Rule, 95% of mothers of multiple births will be between what two ages?2. The NCEE scores of 80 freshman students from the College of Engineering were taken and are shown below. 84 64 62 70 91 74 88 72 75 8 85 66 94 60 84 71 84 67 76 84 70 71 89 86 83 92 84 84 72 84 66 76 80 77 83 78 68 99 81 82 69 75 80 97 76 86 79 74 86 74 78 81 76 83 65 87 84 74 82 74 93 78 68 81 71 77 77 77 81 85 86 75 90 91 73 83 76 83 79 78 A. Construct a frequency distribution with 8 classes. Use 60 as the lowest class limit. B. Draw the histogram and the frequency polygon.
- A certain species of tree has an average life span of 130 years. A researcher has noticed a large number of trees of this species washing up along a beach as driftwood. She takes core samples from 27 of those trees to count the number of rings and measure the widths of the rings. Counting the rings allows the researcher to determine the age of each tree. Her data are displayed in the provided table. 98 79 147 200 130 60 51 127 105 75 120 113 200 190 81 98 160 165 134 62 152 66 68 124 190 159 60 One of her interests is determining if this sample provides evidence that the average age of the driftwood is less than the 130 year life span expected for this type of tree. If the average age is less than 130 years it might suggest that the trees have died from unusual causes, such as invasive beetles or logging. Use technology to create a randomization distribution with at least 1,000 values…The following table lists animals that have some of the longest lifespans on earth. Does incubation or gestation time affect an animal’s average lifespan? Some animals have lifespans that average well over 100 years.Animal: Nile, Crocodile, Aldabra Giant Tortoise LakeSturgeon, Galapagos Tortoise, Bowhead Whale Average Lifespan (in Years): 100,152,152,177,211Incubation/Gestation (in Months): 3, 8, 0.25, 4.7,13.5 Is there a correlation between an animal’s gestation/incubation period and its average lifespan in years? a. Draw the scatterplot for the variables. b. Describe the relationship, if any, shown by the scatterplot. c. Calculate r, the correlation coefficient. How does the correlation coefficient compare to the relationship you saw in the scatterplot?1. A researcher wishes to determine if the following distances (in meters) traveled by a random sample of ten world-class long jumpers are highly affected by the speed (in meters per second) at takeoff. The distances recorded from the sample long jumpers are as follows: 7.67, 8.22, 7.94, 7.16, 8.08, 7.35, 7.89, 7.76, 7.25, and 7.43. On the other hand, the speeds are recorded as follows: 8.9, 9.2, 8.1, 8.6, 9.0, 8.4, 8.8, 9.1, 8.0, and 8.2. What will be the distance, assuming that the speed is 9.4 meters per second? Round your answer to two decimal places. There is no need to place the unit. 2. A certain regression line equation has the slope equal to 720.25 and an intercept that is equal to -182.4. What will be the predicted score for the dependent variable if the independent variable is 281.5? Round your answers to two decimal places. Do not place any unit.
- The fingerprint of every finger can be classified into one of three basic patterns: a loop, a whorl, or an arch. Forensic experts have determined that about 65% of all fingers have loops, 30% have whorls, and 5% have arches. Suppose that these percentages are exactly correct and patterns are independent from one finger to the next. Select a person at random and classify each of their fingerprints on both hands. Let X = the number of fingerprints with a loop. (a) Calculate and interpret the mean of X. (b) Calculate and interpret the standard deviation of X.Set A: n = 5; x = 10Set B: n = 50; x = 10(a) Suppose the number 32 is included as an additional data value in Set A. Compute x for the new data set. To compute x for the new data set, add 32 to x of the original data set and divide by 6. (Round your answer to two decimal places.) b.) Suppose the number 32 is included as an additional data value in Set B. Compute x for the new data set. (Round your answer to two decimal places.)8.1 A person’s educational attainment and age group was collected by the U.S. Census Bureau in 1984 to see if age group and educational attainment are related. The counts in thousands are in following table ("Education by age," 2013): Table: Educational Attainment and Age Group Education Age Group Row Total 25-34 35-44 45-54 55-64 >64 Did not complete HS 5416 5030 5777 7606 13746 37575 Competed HS 16431 1855 9435 8795 7558 44074 College 1-3 years 8555 5576 3124 2524 2503 22282 College 4 or more years 9771 7596 3904 3109 2483 26863 Column Total 40173 20057 22240 22034 26290 130794 Do the data show that educational attainment and age are independent? Test at the 5% level. (i) Which of the following statements correctly defines the null hypothesis HO? A. level of educational attainment is not independent of age B. level of educational attainment is independent of age C.…
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