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statistics alive

Questions and Answers of Statistics Alive

15. Fitness Trackers You can monitor every step you take, your speed, your pace, or some other aspect of your daily activity. The data that follows lists the overall rating scores for 14 fitness
16. Peak Current A chemist measured the peak current generated (in microamperes)when a solution containing a given amount of nickel (in parts per billion) is added to a buffer. The data are shown
17. Movie Money Does the amount of money a movie makes on a single weekend in any way predict the movie’s success or failure? Or is a movie’s monetary success more dependent on the number of
18. Movie Money, continued The data from Exercise 17 were entered into a MINITAB worksheet and the following correlations were calculatedDoes the table of correlations confirm your insights and/or
19. Hazardous Waste The number of hazardous waste sites in each of the 50 states and the District of Columbia in 2016 are shown in the following table.10 Researchers also recorded the size of the
20. Old Faithful The Old Faithful geyser is not the tallest geyser nor the largest geyser in Yellowstone National Park, but it is the most reliable. The graph that follows is based on n 5 272 pairs
1. Look at the variables Price, Score, and Cycle Time individually. What can you say about symmetry? About outliers?Does the price of an appliance convey something about its quality?Washers are
2. Look at all the variables in pairs. Which pairs are positively correlated? Negatively correlated? Are there any pairs that exhibit little or no correlation? Are some of these results
3. Does the price of an appliance, specifically a washing machine, convey something about its quality? Which variables did you use in arriving at your answer?Does the price of an appliance convey
Draw a dotplot for the n55 measurements 2, 9, 11, 5, 6. Find the sample mean and compare its value with what you might consider the “center” of these observations on the dotplot.
Find the median for the set of measurements 2, 9, 11, 5, 6.
Find the median for the set of measurements 2, 9, 11, 5, 6, 27.
For the n55 ordered measurements from Example 2.2, the position of the median is .5(n1)5.5(6)53, and the median is the 3rd ordered observation, or m56.For the n56 ordered measurements from Example
For the data sets calculate the mean, the median, and the mode. Locate these measures on a dotplot.1. n=5 measurements: 0, 5, 1, 1, 3
For the data sets calculate the mean, the median, and the mode. Locate these measures on a dotplot.2. n=8 measurements: 3, 2, 5, 6, 4, 4, 3, 5
For the data sets calculate the mean, the median, and the mode. Locate these measures on a dotplot.3. n=10 measurements: 3, 5, 4, 5, 10, 5, 6, 9, 2, 8
For the data sets calculate the mean, the median, and the mode. Locate these measures on a dotplot.4. n=7 measurements: 3, 6, 4, 0, 3, 5, 2
Based on the values of the mean and the median, decide whether the data set is skewed right, skewed left, or approximately symmetric 5. x 6.2; m=10
Based on the values of the mean and the median, decide whether the data set is skewed right, skewed left, or approximately symmetric 6. x 5.38; m = 5.34
Based on the values of the mean and the median, decide whether the data set is skewed right, skewed left, or approximately symmetric 7. x 127.5; m =58.4
Based on the values of the mean and the median, decide whether the data set is skewed right, skewed left, or approximately symmetric 8. 279, m = 350
Use these n524 measurements to answer the question9. Find the sample mean and median. 4.5 7727 3.2 3.5 3.9 3.5 3.9 4.3 4.8 3.9 3.7 4.4 4.0 ** 3.6 3.3 4.3 4.2 4.3 4.4 3.4 4.2 3.6 3.5 3.9 4.0
Use these n524 measurements to answer the question10. Is the data set symmetric or skewed? Explain. 4.5 7727 3.2 3.5 3.9 3.5 3.9 4.3 4.8 3.9 3.7 4.4 4.0 ** 3.6 3.3 4.3 4.2 4.3 4.4 3.4 4.2 3.6 3.5 3.9
11. Calculate x , m, and the mode. 53, 61, 58, 56, 58, 60, 54, 54, 62, 58, 60, 58, 56, 56, 58
12. Are the data skewed right, skewed left, or symmetric?Draw a dotplot to confirm your answer. 53, 61, 58, 56, 58, 60, 54, 54, 62, 58, 60, 58, 56, 56, 58
For the data sets find the mean, the median, and the mode. Comment on the skewness or symmetry of the data.13. Tuna Fish The following data give the estimated prices of a 170-gram can or a 200-gram
For the data sets find the mean, the median, and the mode. Comment on the skewness or symmetry of the data.14. Smiles per Mile A survey by Consumer Reports looked at the reliability of cars as the
For the data sets find the mean, the median, and the mode. Comment on the skewness or symmetry of the data.15. Time on Task In a psychology experiment, 10 subjects were given 5 minutes to complete a
16. Auto Insurance The cost of auto insurance in California is dependent on many variables, such as the city you live in, the number of cars you insure, and your insurance company. The website
17. DVRs Most American households have one digital video recorder (DVR), and many have more than one. A sample of 25 households produced the following measurements on x, the number of DVRs in the
18. Fortune 500 Revenues Ten of the 50 largest businesses in the United States, randomly selected from the Fortune 500, are listed as follows along with their revenues (in millions of dollars)4:a.
19. Birth Order and Personality Does birth order have any effect on a person’s personality? A report on a study by an MIT researcher indicates that later-born children are more likely to challenge
20. Sports Salaries As professional sports teams become more and more profitable, the salaries paid to the players have also increased. In fact, many sports superstars are paid huge salaries. If you
21. The Cost of College The tuition and fees (in thousands of dollars) for a sample of 21 four-year state-run colleges and universities are shown in the following tablea. Find the mean, the median,
22. Comparative Shopping Searching online for the price of an item you would like to buy can save you quite a bit of money. A search for the best price for a white KitchenAid 5-speed hand mixer using
Calculate the variance and standard deviation for the five measurements from Table 2.2–5, 7, 1, 2, 4–reproduced in Table 2.3. Use the computing formula for s2 and compare your results with those
For the data set, calculate the sample variance, s2, using (1) the definition formula and (2) the computing formula. Then calculate the sample standard deviation, s.1. n=5 measurements: 2,1,1, 3, 5
For the data set, calculate the sample variance, s2, using (1) the definition formula and (2) the computing formula. Then calculate the sample standard deviation, s.2. n=8 measurements: 4,1, 3,1,
For the data set, calculate the sample variance, s2, using (1) the definition formula and (2) the computing formula. Then calculate the sample standard deviation, s.3. n=8 measurements: 3,1, 5, 6, 4,
For the data set use the data entry method in your scientific calculator to enter the measurements. Recall the proper memories to find the mean and standard deviation.Calculate the range. The range
For the data set use the data entry method in your scientific calculator to enter the measurements. Recall the proper memories to find the mean and standard deviation.Calculate the range. The range
For the data set use the data entry method in your scientific calculator to enter the measurements. Recall the proper memories to find the mean and standard deviation.Calculate the range. The range
For the data set, find the range, the sample variance and the sample standard deviation.7. Tuna Fish The following data give the estimated prices of a 170-gram can or a 200-gram pouch of water-packed
For the data set, find the range, the sample variance and the sample standard deviation.8. Smiles per Mile A survey by Consumer Reports looked at the reliability of cars as the cars get older. They
For the data set, find the range, the sample variance and the sample standard deviation.9. Time on Task In a psychology experiment, 10 subjects were given 5 minutes to complete a task. Their time on
10. An Archeological Find, again An article in Archaeometry described 26 samples of pottery found at four different kiln sites in the United Kingdom.8 The percentage of iron oxide in each of five
11. Utility Bills in Southern California The monthly utility bills for a household in Riverside, California, were recorded for 12 consecutive months starting in January 2017:a. Calculate the range of
12. Sleep and the College Student A group of 10 college students were asked to report how many hours that they slept on the previous night with the following results:a. Find the mean and the standard
13. Gas Mileage The kilometers per liter (km/L)for each of 20 medium-sized cars selected from a production line during the month of March follow.a. What are the maximum and minimum kilometers per
14. Polluted Seawater Petroleum pollution in seas and oceans stimulates the growth of some types of bacteria.A count of the number of bacteria (per 100 milliliters) in 10 portions of seawater gave
15. Summer Camping A favorite summer pastime for many Americans is camping. In fact, camping has become so popular at the California beaches that reservations must be made months in advance! Data
The mean and variance of a sample of n525 measurements are 75 and 100, respectively. Use Tchebysheff’s Theorem to describe the measurements
In a study conducted at a manufacturing plant, the length of time to complete a specified operation is measured for each of n=40 workers. The mean and standard deviation are found to be 12.8 and 1.7,
Student teachers learn to write lesson plans that will help them to be more successful in the classroom. To study the effectiveness of written lesson plans, 25 plans were scored on a scale of 0 to 34
Use the range approximation to check the calculation of s for Table 2.3. Table 2.3 Table for Simplified Calculation of s and s x, x 5112 25 225 49 1 4 4 16 95=Ex . =19
Use the range to approximate the standard deviation for the data in Table 2.5. Table 2.5 Lesson Plan Assessment Scores 26.1 26.0 14.5 29.3 19.7 22.1 21.2 26.6 31.9 25.0 15.9 20.8 20.2 17.8 13.3 25.6
For the data set use the range to approximate the value of s. Then calculate the actual value of s. Is the actual value close to the estimate? 1. n 10 measurements: 5, 2, 3, 6, 1, 2, 4, 5, 1, 3
For the data set use the range to approximate the value of s. Then calculate the actual value of s. Is the actual value close to the estimate? 2. n = 28 measurements: 25, 26, 26, 26, 26, 28, 27, 26,
For the data set use the range to approximate the value of s. Then calculate the actual value of s. Is the actual value close to the estimate? 3. n 15 measurements: 4.9, 7.0, 5.4, 6.7, 5.9, 4.0, 6.1,
Draw a dotplot for the data set. Are the data mound-shaped?Can you use Tchebysheff’s Theorem to describe the data?The Empirical Rule? Explain. 4. n=10 measurements: 5, 2, 3, 6, 1, 2, 4, 5, 1, 3
Draw a dotplot for the data set. Are the data mound-shaped?Can you use Tchebysheff’s Theorem to describe the data?The Empirical Rule? Explain. 5. n 28 measurements: 2.5, 2.6, 2.6, 2.6, 2.6, 2.8,
A distribution of measurements is relatively mound-shaped with a mean of 50 and a standard deviation of 10. Use this information to find the proportion of measurements in the intervals given 6.
A distribution of measurements is relatively mound-shaped with a mean of 50 and a standard deviation of 10. Use this information to find the proportion of measurements in the intervals given 7.
A distribution of measurements is relatively mound-shaped with a mean of 50 and a standard deviation of 10. Use this information to find the proportion of measurements in the intervals given 8.
A distribution of measurements is relatively mound-shaped with a mean of 50 and a standard deviation of 10. Use this information to find the proportion of measurements in the intervals given 9.
A distribution of measurements is relatively mound-shaped with a mean of 50 and a standard deviation of 10. Use this information to find the proportion of measurements in the intervals given 10. Less
A distribution of measurements is relatively mound-shaped with a mean of 50 and a standard deviation of 10. Use this information to find the proportion of measurements in the intervals given 11. 40
distribution of measurements has a mean of 75 and a standard deviation of 5. You know nothing else about the size or shape of the data. Use this information to find the proportion of measurements in
distribution of measurements has a mean of 75 and a standard deviation of 5. You know nothing else about the size or shape of the data. Use this information to find the proportion of measurements in
distribution of measurements has a mean of 75 and a standard deviation of 5. You know nothing else about the size or shape of the data. Use this information to find the proportion of measurements in
For the data set find the range and use it to approximate the value of s. Then calculate the actual value of s. Is the actual value close to the estimate?15. Driving Emergencies The length of time it
For the data set find the range and use it to approximate the value of s. Then calculate the actual value of s. Is the actual value close to the estimate?16. Tuna Fish The following data give the
For the data set find the range and use it to approximate the value of s. Then calculate the actual value of s. Is the actual value close to the estimate?Smiles per Mile A survey by Consumer Reports
For the data set find the range and use it to approximate the value of s. Then calculate the actual value of s. Is the actual value close to the estimate?18. An Archeological Find, again The
19. Packaging Hamburger Meat The weights(in pounds) of 27 packages of ground beef in a supermarket meat display are as follows:a. Draw a stem and leaf plot or a relative frequency histogram to
20. Breathing Rates Breathing rates for humans can be as low as 4 breaths per minute or as high as 70 or 75 for a person doing strenuous exercise. Suppose that the resting breathing rates for
21. Ore Samples A geologist collected 20 different ore samples of equal weight and randomly divided them into two groups. She measured the titanium (Ti) content of the samples using two different
22. Social Security Numbers A group of 70 students were asked to record the last digit of their social security number.a. Draw a relative frequency histogram using the values 0 through 9 as the class
23. Social Security Numbers, continued Refer to the data set in Exercise 22.a. Find the percentage of measurements in the intervals x 6s, x 62s, and x 63s.b. How do the percentages obtained in part a
24. Survival Times A group of laboratory animals is infected with a particular form of bacteria. Their survival times are found to average 32 days, with a standard deviation of 36 days.a. Think about
25. Survival Times, continued Refer to Exercise 24.Use the Empirical Rule to see why the distribution of survival times could not be mound-shaped.a. Find the value of x that is exactly one standard
26. Timber Tracts To estimate the amount of lumber in a tract of timber, an owner randomly selected seventy 15-by-15-meter squares, and counted the number of trees with diameters exceeding 1 meter in
27. Old Faithful The data that follow are 30 waiting times between eruptions of the Old Faithful geyser in Yellowstone National Parka. Calculate the range.b. Use the range approximation to
28. The President’s Kids The following table shows the names of the 44 presidents of the United States along with the number of their childrena. Construct a relative frequency histogram to describe
29. Drew Brees The number of passes completed by Drew Brees, quarterback for the New Orleans Saints, was recorded for each of the 16 regular season games in the fall of 2017 (www.ESPN.com)a. Draw a
30. Achievement Tests Mathematics achievement test scores for 400 students had a mean and a variance equal to 600 and 4,900, respectively. If the distribution of test scores was mound-shaped,
31. Basketball Attendances at a high school’s basketball games were recorded and found to have a sample mean and variance of 420 and 25, respectively. Calculate x 6s, x 62s, and x 63s. What
32. TV Commercials The mean duration of television commercials on a given network is 75 seconds, with a standard deviation of 20 seconds. Assume that durations are approximately normally
A student has taken a 35-point exam and wants to know how his score of 30 compares to the scores of the other students in the class. The mean and standard deviation of the exam scores are 25 and 4,
Consider this sample of n510 measurements:1, 1, 0,15, 2, 3, 4, 0,1, 3 The measurement x515 appears to be unusually large. Calculate the z-score and state your conclusions.
Two students are preparing for college admissions by taking college preparatory exams. One student takes the SAT test and scores 1440 out of 1600 while the other takes the ACT test and scores 31 out
Suppose you have been notified that your score of 158 on the Verbal Graduate Record Examination placed you at the 80th percentile in the distribution of scores. Where does your score of 158 stand in
Find the lower and upper quartiles for this set of measurements:16, 25, 4,18,11,13, 20, 8,11, 9
As American consumers become more careful about the foods they eat, food processors try to avoid large amounts of fat, cholesterol, and sodium in the foods they sell. The following data are the
For the data set find the mean, the standard deviation, and the z-scores corresponding to the minimum and maximum in the data set. Do the z-scores indicate that there are possible outliers in these
For the data set find the mean, the standard deviation, and the z-scores corresponding to the minimum and maximum in the data set. Do the z-scores indicate that there are possible outliers in these
For the data set find the mean, the standard deviation, and the z-scores corresponding to the minimum and maximum in the data set. Do the z-scores indicate that there are possible outliers in these
calculate the median and the upper and lower quartiles 4. n=7 measurements: 6, 7, 3, 2,8,10, 4
calculate the median and the upper and lower quartiles 5. n=9 measurements: 5, 6, 0, 2, 5,1, 7, 6, 3
calculate the median and the upper and lower quartiles 6. n=6 measurements: 1, 7, 4, 5, 2, 9

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