Three distributions, labeled (a), (b), and (c) are represented below by their histograms. Each distribution is symmetrical and is made of 10 measurements. Without performing any calculations, order their respective standard deviations o, o, and oc (a) (b) 1 2 3 4 S 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 (c) 3 4 S 6 7 8 9 10 11 12 13 14
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- Three distributions, labeled (a), (b), and (c) are represented below by their histograms. Each distribution is symmetrical and is made of 10 measurements. Without performing any calculations, order their respective standard deviations o,, O, and o. (a) (b) %3D 1 2 3 45 7 S 9 10 11 12 13 14 2 3 4 5 6 7 9 10 11 12 13 14 (c) 1 2 3 4 5 7 9 10 11 12 13 14Are the snow conditions a factor in the number of visitors at a ski resort? The table below shows data that was collected. Machine Made Powder Hard Packed 1224 1733 1427 1976 1501 1542 1432 2493 1022 1080 1707 1350 1383 2410 2474 1033 2137 2051 1892 1710 2029 1022 1006 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01.H0: μ1=μ2=μ3H0: μ1=μ2=μ3H1:H1: At least two of the means differ from each other. The test-statistic for this data: F = The p-value for this sample =Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of variation? 18 1 5 10 The range of the sample data is (Round to one decimal place as needed.) The standard deviation of the sample data is (Round to one decimal place as needed.) The variance of the sample data is (Round to one decimal place as needed.) 20 11 6 2 16 14 18 18 13 12
- The state test scores for 12 randomly selected high school seniors are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. 1420 1221 990 692 720 833 726 746 548 628 1443 950 (a) Find the sample mean. x=enter your response here (Round to one decimal place as needed.) find the Standard Deviation.Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of variation? 3 9. 11 16 6 10 12 17 11 16 13 17 7 The range of the sample data is (Round to one decimal place as needed.)Name C: Compute the mean & the standard deviation of the following slightly larger data set (again, with no rounding): (X₁-Xbar) (x₁ - Xbar)² i 1 2 3 4 5 7.2 7.1 7.1 6 7.2 7 7.1 8 7.2 9 7.1 10 7.2 11 7.2 12 7.2 Σ(x₁) = 861 N = Xbar = 775 error = X₁ 7.2 7.3 diff diff = Tex 6. Bood 16,00 44 forgova Nove 6103 or $3 Σ(x₁ - Xbar)² = N - 1 = σA = Percent Error & Percent Difference: Use your values from the C data set in part IV & a value for Xknown = 7.21 to compute the error, relative error, & %E. Write down your symbolic formulas in the space below each answer. Include +/- signs. D forory?" rel. GA=6,087 % rel. σA=FU 70 rel. error = on God A rel. error = rel. diff 404 0,06 rel. diff= x lab I fuc error = ₁x fre = 7.1 & X₂ 7.3, to compute the diff, rel. diff, & %D. Use two experimental values, Write down your symbolic formulas in the space below each answer. ylab-x the %E= = %E= %D= %D=
- Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general? a. the range of the sample data is $ million. (Type an integer or a decimal.) b.The variance of the sample data is (Round to two decimal places as needed.) c. The standard deviation of the sample data is $ million. (Round to two decimal places as needed.)Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of variation? 8 2 7 2 The range of the sample data is (Round to one decimal place as needed.) The standard deviation of the sample data is (Round to one decimal place as needed.) 3 14 12 6 The variance of the sample data is (Round to one decimal place as needed.) What important feature of the data is not revealed through the different measures of variation? (...) 17 1 15 10 O A. The measures of variation reveal no information about the scale of the data. B. The measures of variation reveal nothing about how the numbers of hurricanes are spread. O C. The measures of variation reveal nothing about the pattern over time. O D. The measures of variation do not reveal the…Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general? a. The range of the sample data is million. (Type an integer or a decimal.) b. The variance of the sample data is (Round to two decimal places as needed.) c. The standard deviation of the sample data is $million. (Round to two decimal places as needed.)
- Are the snow conditions a factor in the number of visitors at a ski resort? The table below shows data that was collected. Hard Packed Machine Made Powder 2457 1401 1708 1484 1895 2193 2334 1849 2803 1816 1870 1842 1792 1873 2969 2219 989 1791 1504 1917 2143 1265 1881 1545 2341 1531 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of a = 0.05. Ho: µi = µ2 = µ3 H1: At least two of the means differ from each other. 1. For this study, we should use Select an answer v 2. The test-statistic for this data = (Please show your answer to 3 decimal places.) 3. The p-value for this sample = (Please show your answer to 4 decimal places.) 4. The p-value is Select an answer 5. Base on this, we should Select an answer v hypothesis 6. As such, the final conclusion is that... O There is insufficient evidence to support the claim that snow conditions is a factor in the…The following table gives the math SAT scores for some recent selected years. Find the average, variance, and standard deviation of each. (Round your answers to four decimal places.) Males 500 502 498 504 497 Females 446 453 450 454 451 Males: mean variance standard deviation Females: mean variance standard deviation Which group is varying more? femalesmales cannot be determinedListed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of variation? 12 The range of the sample data is (Round to one decimal place as needed.) The standard deviation of the sample data is (Round to one decimal place as needed.) 20 2 The variance of the sample data is (Round to one decimal place as needed.) What important feature of the data is not revealed through the different measures of variation? 55 18 A. The measures of variation do not reveal the difference between the largest number of hurricanes and the smallest number of hurricanes in the data. OB. The measures of variation reveal no information about the scale of the data. ⒸC. The measures of variation reveal nothing about the pattern over time. D. The measures of…