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mathematics
a survey of mathematics with applications
A Survey Of Mathematics With Applications 11th Edition Allen R. Angel, Christine D. Abbott, Dennis Runde - Solutions
Assume the annual day care cost per child is normally distributed with a mean of $12,000 and a standard deviation of $2000.In a random sample of 120 families that use day care, how many pay more than $11,000 annually per child?
Assume the annual day care cost per child is normally distributed with a mean of $12,000 and a standard deviation of $2000.What percent of day care costs are less than $17,000 per child annually?
Assume the annual day care cost per child is normally distributed with a mean of $12,000 and a standard deviation of $2000.What percent of day care costs are between $10,000 and $13,000 per child annually?
Assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minute.In a random sample of 500 females, how many will have a pulse rate greater than 88 beats per minute?
Assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minute.In a random sample of 500 females, how many will have a pulse rate less than 70 beats per minute?
Assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minute.Determine the percent of females with a pulse rate greater than 88 beats per minute.
Assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minute.Determine the percent of females with a pulse rate between 70 beats per minute and 78 beats per minute.
a) Calculate the mean, median, mode, and midrange of your exam grades in your mathematics course.b) Which measure of central tendency best represents your average grade?c) Which measure of central tendency would you rather use as your average grade?
A vending machine is designed to dispense a mean of 7.6 oz of coffee into an 8-oz cup. If the standard deviation of the amount of coffee dispensed is 0.4 oz and the amount is normally distributed, determine the percent of times the machine will dispense more than 7.0 oz.
What percent of students who took the test have a mathematics score between 400 and 575?Assume that the mathematics scores on a placement test are normally distributed with a mean of 500 and a standard deviation of 100.
What percent of students who took the test have a mathematics score between 550 and 650?Assume that the mathematics scores on a placement test are normally distributed with a mean of 500 and a standard deviation of 100.
What percent of students who took the test have a mathematics score above 680?Assume that the mathematics scores on a placement test are normally distributed with a mean of 500 and a standard deviation of 100.
What percent of students who took the test have a mathematics score below 550?Assume that the mathematics scores on a placement test are normally distributed with a mean of 500 and a standard deviation of 100.
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 250 mg and a standard deviation of 48 mg.In a random sample of 500 adults, how many consume between 202 mg of caffeine and 346 mg of caffiene daily?
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 250 mg and a standard deviation of 48 mg.In a random sample of 500 adults, how many consume at least 310 mg of caffeine daily?
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 250 mg and a standard deviation of 48 mg.Determine the percent of adults who consume between 154 mg of caffeine and 298 mg of caffeine daily.
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 250 mg and a standard deviation of 48 mg.Determine the percent of adults who consume between 202 mg of caffeine and 346 mg of caffeine daily.
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 250 mg and a standard deviation of 48 mg.Determine the percent of adults who consume less than 190 mg of caffeine daily.
Use the following data, which show the number of children per family for 20 families.Do you think this set of data is representative of the U.S. population? Explain. 0 0 1 3 1 1 4 7 6 2 3 3 1 2. 2.
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 250 mg and a standard deviation of 48 mg.Determine the percent of adults who consume less than 250 mg of caffeine daily.
Use the following data, which show the number of children per family for 20 families.Do you think the number of children per family in the United States is a normal distribution? Explain. 0 0 1 3 1 1 4 7 6 2 3 3 1 2. 2.
The following table shows the consumer price index (CPI) for the years 2013–2018.a) Determine the linear correlation coefficient, r, between the year and the CPI.b) If 2013 is subtracted from each year, the table obtained becomes:If r is calculated from these values, how will it compare with the
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 250 mg and a standard deviation of 48 mg.Determine the percent of adults who consume more than 310 mg of caffeine daily.
Use the following data, which show the number of children per family for 20 families.Does this distribution appear to be normal? Explain. 0 0 1 3 1 1 4 7 6 2 3 3 1 2. 2.
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 250 mg and a standard deviation of 48 mg.Determine the percent of adults who consume more than 250 mg of caffeine daily.
In 2016, the National Center for Health Statistics indicated an “average life expectancy” of 78.6 years for the total U.S. population. The average life expectancy for men was 76.1 years, and for women it was 81.1 years. Which “average” do you think the National Center for Health Statistics
Use the following data, which show the number of children per family for 20 families.Construct a frequency polygon of the frequency distribution. 0 0 1 3 1 1 4 7 6 2 3 3 1 2. 2.
Assume that the heights of 7-year-old girls are normally distributed. The heights of 8 randomly selected 7-year-old girls are given in z-scores in the table.a) Which girl is the tallest?b) Which girl is the shortest? Luisa 0.9 Jenny 0.0 Heather -1.3 Shenice 0.0 Sarah 1.7 Sadaf -0.2 Eleanor 0.8
The following statistics represent annual salaries of physical therapists at Lattimore Physical Therapy:a) What is the most common salary?b) What salary did half of the physical therapists’ salaries surpass?c) About what percent of physical therapists’ salaries surpassed $93,000?d) About what
Use the following data, which show the number of children per family for 20 families.Construct a histogram of the frequency distribution. 0 0 1 3 1 1 4 7 6 2 3 3 1 2. 2.
Assume that the heights of 7-year-old girls are normally distributed. The heights of 8 randomly selected 7-year-old girls are given in z-scores in the table.a) Which of these girls are taller than the mean?b) Which of these girls are at the mean?c) Which of these girls are shorter than the mean?
Use the following data, which show the number of children per family for 20 families.Construct a frequency distribution. 0 0 1 3 1 1 4 7 6 2 3 3 1 2. 2.
Use Table to determine the percent of data specified.Between z = -2.71 and z = 3.21 Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003
Samantha took a flexibility test in her physical education class and scored at the 75th percentile. In a different class, Jose took the same flexibility test and scored at the 60th percentile.a) Is it possible to determine which of the two had the higher flexibility score on their respective
Consider the graph, which shows the U.S. population in 2000 and the projected U.S. population in 2050.a) Compute the projected percent increase in population from 2000 to 2050 by using the formula given.b) Measure the radius and then compute the area of the circle representing 2000. Use A = πr2.c)
Over the years many changes have been made in the U.S. Social Security System.a) Do research and determine the number of people receiving Social Security benefits for the years 1945, 1950, 1955, 1960, . . ., 2015, 2020. Then construct a frequency distribution and histogram of the data.b) Determine
Use Table to determine the percent of data specified.Between z = 0.72 and z = 2.14 Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003
The following chart shows the number of police officers patrolling a section of a city and the number of crimes reported for 8 successive days.a) Determine the correlation coefficient between the number of police officers and the number of crimes reported.b) Determine whether a correlation exists
Use Table to determine the percent of data specified.Between z = -1.53 and z = -1.82 Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003
The prices of the 20 top-rated 60-inch televisions, as reported in the December 2018, issue of Consumer Reports, are as follows:Determinea) Q2.b) Q1.c) Q3. $2800 $3000 $3800 $3500 $2200 $3800 $2700 $2200 $2600 $1700 $1800 $2200 $3000 $2200 $1580 $1700 $1800 $1600 $1200 $1250
Use the following data, which show the number of children per family for 20 families.Determine the following.Midrange 0 0 1 3 1 1 4 7 6 2 3 3 1 2. 2.
The following table shows the energy provided (in kilocalories) and the amount of carbohydrates (in grams) in a 100-m/ bottle of a sports drink for six different brands.a) Determine the correlation coefficient between amount of carbohydrates and the energy provided.b) Determine whether a
Use Table to determine the percent of data specified.Between z = 1.96 and z = 2.14 Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003
The prices of the 19 top-rated all-season tires, as reported in the November 2018, issue of Consumer Reports, for a specific tire size, are as follows:Determinea) Q2.b) Q1.c) Q3. $87 $115 $97 $79 $81 $91 $108 $113 $100 $95 $85 $91 $92 $88 $92 $80 $99 $90 $76
Use the following data, which show the number of children per family for 20 families.Determine the following.Median 0 0 1 3 1 1 4 7 6 2 3 3 1 2. 2.
Use Table to determine the percent of data specified.Between z = -2.29 and z = -1.33 Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003
The Comstocks have recorded their monthly entertainment expenses for the past 6 months and determined that the mean monthly expense was $250. Later, Mr. Comstock discovered that one month’s expense of $175 was incorrectly recorded as $157. What is the correct mean?
Use the following data, which show the number of children per family for 20 families.Determine the following.Mode 0 0 1 3 1 1 4 7 6 2 3 3 1 2. 2.
The following table shows the amount of a dinner bill and the amount of money left as a tip for 6 customers at a restaurant.a) Determine the correlation coefficient between the amount of a dinner bill and the amount of money left as a tip.b) Determine whether a correlation exists at α = 0.05.c)
Use Table to determine the percent of data specified.Between z = -1.84 and z = 1.84 Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003
The following graph shows the percent of U.S. household that had a pet for the years 2015 and 2017.Draw a bar graph that shows the entire scale from 0 to 100 percent. Percent of U.S. Households That Had a Pet 2015 65 2017 68 64 66 68 70 Percent
Use the following data, which show the number of children per family for 20 families.Determine the following.Mean 0 0 1 3 1 1 4 7 6 2 3 3 1 2. 2.
A mean average of 70 or greater on six exams is needed to get a C in a course. On his first 5 exams, Quincy received grades of 74, 82, 76, 70, and 54.a) What grade must he receive on his last exam to get a C?b) A mean average of 80 is needed to get a B in the course. Is it possible for Quincy to
In Exercise, use the following table.a) Draw a bar graph that appears to show a small increase in the median age at first marriage for females.b) Draw a bar graph that appears to show a large increase in the median age at first marriage for females. Median Age at First Marriage Male Female Age Year
Use the data below which was obtained from a study of the weights of adult men.What weight represents 1.8 standard deviations below themean? First quartile Third quartile Mean 192 lb 178 lb Median 185 Ib 232 Ib Mode 180 lb 86th percentile 239 lb Standard deviation 23 lb
The 2017–2018 cost for Texas residents to attend the University of Texas at Austin was $25,440. The circle graph below shows the percentages of that cost for tuition, books/supplies, room/board, and other expenses. Determine the cost, in dollars, for each category. Cost to Attend the University
In Exercise, use the following table.a) Draw a bar graph that appears to show a small increase in the median age at first marriage for males.b) Draw a bar graph that appears to show a large increase in the median age at first marriage for males. Median Age at First Marriage Male Female Age Year Age
Use the data below which was obtained from a study of the weights of adult men.What weight represents two standard deviations above the mean? First quartile Third quartile Mean 192 lb 178 lb Median 185 Ib 232 Ib Mode 180 lb 86th percentile 239 lb Standard deviation 23 lb
The following table shows the average (mean) number of clients per month and the sales volume, in thousands of dollars, for 8 salespeople.a) Determine the correlation coefficient between the average number of clients and the sales.b) Determine whether a correlation exists at α = 0.05c) Determine
Use Table to determine the percent of data specified.Less than z = -0.45 Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003 -3.2 .0007
A mean average of 90 or greater for 6 exams is needed for a final grade of A in a course. Sandy’s first five exam grades are 92, 90, 87, 93, and 96. What grade does Sandy need on the sixth exam to get an A in the course?
The following table shows the worldwide revenue for Nike, in billions of dollars, for the years 2015–2018.Year Revenue (billions of dollars)2015 . . . . . . . . . . . . .
Use Table to determine the percent of data specified.Less than z = 0.83 Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003 -3.2 .0007
The following table shows the average price of a movie ticket in the United States for the years 2014–2018.Year Average Ticket Price2014 . . . . . . . . . . . . . . . . . . . $8.172015 . . . .
Use the histogram below to answer the questions on page 770.a) How many students were surveyed?b) What are the lower and upper class limits of the first and second classes?c) How many students have an annual car insurance premium in the class with a class mark of $752?d) What is the class mark of
Determine the equation of the line of best fit from the data indicated in the exercise. Round both m and b to the nearest hundredth.Exercises 26Data from Exercises 26:x y90 . . . . . . . . . 9070 . . . . . . . . . 7065 . .
Use Table to determine the specified area.Between z = 1.23 and z = 1.81 Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003 -3.2 .0007
For the 2019 season, 9500 people skied at Bristol Mountain Ski Resort. The resort was open 100 days for skiing. The highest number of skiers on a single day was 175. The lowest number of skiers on a single day was 65. Determine whether it is possible to determine the following with the given
Using the Internet, determine the current 10 highest-paid CEOs in each of the following: Tech companies, Healthcare companies, and Retailers. Determine the mean and the standard deviation of each group.
Use the histogram below to answer the following questions.a) How many homes were included in the survey?b) In how many homes were four televisions observed?c) What is the modal class?d) How many televisions were observed?e) Construct a frequency distribution from this histogram. Televisions per
Use Table to determine the specified area.Between z = -1.64 and z = -1.32. Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003 -3.2 .0007
For the 2019 season, 35,000 people visited the Blue Lagoon Water Park. The park was open 120 days for water activities. The highest number of visitors on a single day was 500. The lowest number of visitors on a single day was 50. Determine whether it is possible to determine the following with the
The average depth of the pond is only 3 ft, so it is safe to go wading.Discuss the statement and tell what possible misuses or misinterpretations may exist.
Use the frequency table from Exercise 10 to create aa) Histogramb) Frequency polygonUse class marks on the horizontal axis.Data From Exercise 10:Class
Use Table to determine the specified area.To the right of z = 0.62. Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003 -3.2 .0007 .0007
Use the data below which was obtained from a study of the weights of adult men.What weight did half of those surveyed exceed? First quartile Third quartile Mean 192 lb 178 lb Median 185 Ib 232 Ib Mode 180 lb 86th percentile 239 lb Standard deviation 23 lb
Use the frequency table from Exercise 9 to create aa) Histogramb) Frequency polygonUse class marks on the horizontal axis.Data From Exercise 9:Class Frequency9
Use Table to determine the specified area.To the right of z = -2.25. Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003 -3.2 .0007 .0007
Use the data below which was obtained from a study of the weights of adult men.What is the most common weight? First quartile Third quartile Mean 192 lb 178 lb Median 185 Ib 232 Ib Mode 180 lb 86th percentile 239 lb Standard deviation 23 lb
The ages of 44 volunteers at a food pantry are as follows.a) Construct a frequency distribution with a first class of 42–47.b) Construct a histogram.c) Construct a frequency polygon.In Exercise, part (c), construct the frequency polygon on the same axes as the histogram. 57 57 49 52 50 42 54 55
Use Table to determine the specified area.To the right of z = -1.72. Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003 -3.2 .0007 .0007
Sleep Number mattresses cost more than Therapedic mattresses. Therefore, you will sleep better if you buy a Sleep Number mattress than if you buy a Therapedic mattress.Discuss the statement and tell what possible misuses or misinterpretations may exist.
The tables on page 791 list the 10 highest paid athletes in Major League Baseball and in the National Football League.Major League Baseball (2018 Season)Player
The ages of a random sample of 40 people visiting an art museum area) Construct a frequency distribution with a first class of 20–30.b) Construct a histogram.c) Construct a frequency polygon.d) Construct a stem-and-leaf display.In Exercise, part (c), construct the frequency polygon on the same
Use Table to determine the specified area.To the left of z = -2.19. Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003 -3.2 .0007 .0007
The amounts of money Tino spent on lunch for seven days are as follows:$6.99 $7.50 $8.25 $10.15 $12.75 $9.30 $7.25Determine, to the nearest cent, thea) Mean.b) Median.c) Mode.d) Midrange.
The chart shown above and to the right uses the symbol s to represent the standard deviation. Note that 2σ represents the value that is two standard deviations above the mean; -2σ represents the value that is two standard deviations below the mean. The unshaded areas, from two standard deviations
Starting salaries, in thousands of dollars, for social workers with a bachelor of science degree and no experience are shown for a random sample of 25 different social workers.a) Construct a frequency distribution. Let each class have a width of one.b) Construct a histogram.c) Construct a frequency
Determine the equation of the line of best fit from the data indicated in the exercise. Round both m and b to the nearest hundredth.Exercises 20Data From Exercises 20:x y8 . . . . . . . . . 1410 . . . . . . . . .
Use Table to determine the specified area.To the left of z = 2.37 Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003 -3.2 .0007 .0007
The top 10 employment websites with the highest number of monthly visitors, in millions, in January 2019, are listed below.Website Number of Visitors
The following table shows the ticket sales of the 15 highest grossing movies of all time in the United States, adjusted for inflation, in millions of dollars, as of May 5, 2019.Movie
Use Table to determine the specified area.To the left of z = 1.62. Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004 .0004 0004 .0003 -3.2 .0007 .0007
The 10 national parks with the greatest number of visitors, in millions, in 2018 are listed below.Park Visitors (millions)Great
In Exercise,(a) Draw a scatter diagram;(b) Determine the value of r, rounded to the nearest thousandth;(c) Determine whether a correlation exists at α = 0.05;(d) Determine whether a correlation exists at α = 0.01.x y90 .
Use Table to determine the specified area.Between 1.30 and 1.70 standard deviations above the mean. Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005 0005 0005 .0004 .0004 0004 .0004
The prices of 9 houses sold in a neighborhood follow.$175,000 . . . . . . . . $185,000$210,000 . . . . . . . . $190,000$199,000 . . . . . . . . $178,000$200,000 . . . . . . . . $188,000$500,000Determine thea) Mean.b) Median.c) Mode.d) Midrange.e) Which measure of central tendency, the mean or the
Use Table to determine the specified area.Between one standard deviation below the mean and two standard deviations above the mean. Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0003 .0003 .0003 .0003 .0003 .0003 .0003 0003 0003 .0002 -3.3 .0005
The salaries of 10 employees of a small company follow.$34,000 $70,00031,000 . . . . . . . . . . 30,00037,000 . . . . . . . . . . 33,00032,000 . . . . . . . . . . 87,00032,000 . . . . . . . . . . 35,000Determine thea) Mean.b) Median.c) Mode.d)
Without actually doing the calculations, decide which, if either, of the following two sets of data will have the greater standard deviation. Explain why.15, 18, 19, 20, 22, 26 21, 22, 22, 23, 23, 24
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