12. Caffeine in Soft Drinks Listed below are measured amounts of caffeine (mg per 12 oz ofdrink) obtained in one can from each of 20 brands (7-UP, A&W Root Beer, Cherry Coke,.Tab). Are the statistics representative of the population of all cans of the same 20 brands consumedby Americans?0 0 34 34 34 45 41 51 55 36 47 41 0 0 53 54 38 0 41 4713. Firefighter Fatalities Listed below are the numbers of heroic firefighters who lost theirlives in the United States each year while fighting forest fires. The numbers are listed in orderby year, starting with the year 2000. What important feature of the data is not revealed by anyof the measures of variation?20 18 23 30 20 12 24 9 25 15 8 11 15 3414. Foot Lengths Listed below are foot lengths in inches of randomly selected Army womenmeasured in the 1988 Anthropometric Survey (ANSUR). Are the statistics representative of thecurrent population of all Army women?10.4 9.3 9.1 9.3 10.0 9.4 8.6 9.8 9.9 9.1 9.1

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A local authority is going to study the relationship between the size of household and the daily plastic usage consumed by them. The results of a sampling given below in Table 5 indicate some values of X (weight of plastic usage) and Y (the size of household). Table 5: Weight of plastic usage (X) and size of household (Y) X 0.27 1.41 2.19 | 2.83 2.19 1.81 0.85 3.05 Y 2 3 3 4 2 1 5 i) From the above sampling, find the value of correlation coefficient r. ii) Using the same sample data set above, conduct the hypothesis testing to know whether the variable X and Y are really correlates using 95% confidence level. iii) Find out if the decision in (ii) may change if you increase the confidence level to 99%.
In a large city, commuter trains are used to transport people into the downtown area. Trains arrive many times a day to a downtown station. While most are on time, some are late. The table shows on-time data from the past week. Train Status On Time Late Total Day of the Week Monday 32 8 40 Tuesday 24 16 40 Wednesday 37 3 40 Thursday 29 11 40 Friday 30 20 50 Total 152 58 210 What percentage of trains were late in this particular week? 27.6% 38.2% 40.0% 72.4%
Are the average number of times a month an adult eats out the same for all age groups? Use the data below to determine if they are all the same. 44-56 7 18-30 31-43 6 4 8 1 3 2 5 5 4 2 4 6 6 Assume all requirements are met. Run the test at a .10 level. 57-69 8 3517
Please answer question 20 letters d,e,f
15. Diameter of Douglas Fir Trees The diameter of the Douglas fir tree is measured at a height of 1.37 meters. The S following data represent the diameter in centimeters of a random sample of 12 Douglas firs in the western Washington Cascades. 156 162 147 173 147 190 130 101 159 113 181 109 Source: L. Winter. "Live Tree and Tree-Ring Records to Reconstruct the Structural Development of an Old-Growth Douglas Fir/Western Hemlock Stand in the Western Washington Cascades." Corvallis, OR: Forest Science Data Bank, 2005. (a) Obtain a point estimate for the mean and standard deviation diameter of a Douglas fir tree in the western Washington Cascades. (b) Because the sample size is small, we must verify that the data come from a population that is normally distributed and that the data do not contain any outliers. The figures show the normal probability plot and boxplot. The correlation between the tree diameters and expected z-scores is 0.982. Use Option 1 or Option 2 to determine if the…
Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed in the Figure 1 scatter plot. Birthrate, x (number of births per 1000 pop.) Female life expectancy, y (in years) 80- 49.9 61.5 28.4 72.5 75- 49.9 60.9 70+ 24.5 74.7 65- 14.9 70.9 60- 50.5 53.9 55 39.6 65.1 36.8 69.3 50- 31.7 63.7 46.2 57.6 19.2 74.0 Figure 1 14.7 75.0 x = 33.86 ỹ = 66.59 Sx = 13.65 Sy 7.15 The least-squares regression line for these data has a slope of approximately –0.46. Answer the following. Carry your intermediate computations to at least four decimal places. a. What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places. b. What is the value of the sample correlation coefficient for these data? Round your…
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2. The level of dissolved oxygen in a river is an important indicator of the water's ability to support aquatic life. You collect water samples at 15 randomly chosen locations along a stream and measure the dissolved oxygen. Here are your results in milligrams per liter. 4.53 5.04 3.29 5.23 4.13 5.50 4.83 4.40 5.42 6.38 4.01 4.66 2.87 5.73 5.55 Construct and interpret a 95% confidence interval to estimate the mean dissolved oxygen level in the stream.
130 adults with gum disease were asked the number of times per week they used to floss before their diagnoses. The (incomplete) results are shown below: # of times floss per week 0 Frequency Relative Frequency 17 19 17 19 9 15 0.1308 0.1462 0.1308 Cumulative Frequency 1 2 3 4 5 6 7 19 a. Complete the table (Use 4 decimal places when applicable) b. What is the cumulative relative frequency for flossing 4 times per week? 0.0692 0.1154 0.1154 0.1462 17 36 53 81 96 111 130 %
The data set below represents the ages of 36 executives. Find the percentile that corresponds to an age of 59 years old. 31 32 35 36 36 38 39 39 40 40 O. 44 44 46 47 48 50 51 52 52 53 56 56 57 57 58 58 58 59 60 61 62 62 63 63 64 66 Percentile of 59 = (Round to the nearest integer as needed.)

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