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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

(a) Use the figure to construct two scatter diagrams, one for dry pavement and the other for wet pavement. Place the speed of the car on the horizontal axis. (b) Compute the correlation
In a certain section of a city, muggings have been a problem. The number of police officers patrolling that section of the city has varied. The following chart shows the number of police officers
The ticket sales and the number of units of popcorn sold at AMC Cinema for 8 days is shown below.(a) Determine the correlation coefficient between ticket sales and units of popcorn sold. (b)
The following table shows the systolic blood pressure and diastolic blood pressure readings for six adults.(a) Determine the correlation coefficient between the systolic blood pressure and the
The following table shows the listing price and the selling price, in thousands of dollars, for eight houses listed and sold.(a) Determine the correlation coefficient between the listing price and
The following table shows the weights, in hundreds of pounds, for six selected cars. Also shown is the corresponding fuel efficiency, in miles per gallon (mpg), for the car in city driving.(a)
The high temperature for seven January days in Chicago along with the number of cups of hot chocolate sold for those days at the C and C Coffee Shop are shown in the table below.(a) Determine the
The following table shows the number of weekly television advertisements and the number of cars sold for an 8-week period at a car dealership.(a) Determine the correlation coefficient between the
The following data show the commuting distances and commuting times of six college students to their college campus.(a) Determine the correlation coefficient between the com-muting distance and the
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.Exercise 26.Data from exercise 26:x . . . . . . . . . y90 . . . . .
If the mean score on a math quiz is 12.0 and 77% of the students in your class scored between 9.6 and 14.4, determine the standard deviation of the quiz scores.
Determine a value of z such that z ≤ 0 and 11.9% of the standard normal curve lies to the left of the z-value.
Determine a value of z such that z ≥ 0 and 97.5% of the standard normal curve lies to the left of the z-value.
The following table lists the minimum percent of data in any distribution and the actual percent of data in the normal distribution between ± 1.1, ± 1.5, ± 2.0, and ± 2.5 standard deviations from
The owner at Kim’s Home Interiors is reviewing the sales records of two managers who are up for promotion, Katie and Stella, who work in different stores. At Katie’s store, the mean sales have
In a distribution skewed to the left, which has the greatest value: the mean, median, or mode? Which has the smallest value? Explain.
In a distribution that is skewed to the right, which has the greatest value: the mean, median, or mode? Which has the smallest value? Explain.
Consider the following two normal curves.(a) Do these distributions have the same mean? If so, what is the mean? (b) One of these curves corresponds to a normal distribution with a standard
Consider the following normal curve, representing a normal distribution, with points A, B, and C. One of these points corresponds to the mean, one point corresponds to the mean plus one standard
Mr. Sanderson marks his class on a normal curve. Those with z-scores with z ≥ 1.80 will receive an A, those with 1.10 ≤ z < 1.80 will receive a B, those with -1.20 ≤ z < 1.10 will receive
A vending machine that dispenses coffee does not appear to be working correctly. The machine rarely gives the proper amount of coffee. Some of the time the cup is underfilled, and some of the time
The warranty on a car battery is 36 months. If the breakdown times of this battery are normally distributed with a mean of 46 months and a standard deviation of 8 months, determine the percent of
A weight-loss clinic guarantees that its new customers will lose at least 5 lb by the end of their first month of participation or their money will be refunded. If the weight loss of customers at the
In a random sample of 120 families that use day care, how many pay between $6500 and $8750 annually for day care per child?Assume the annual day care cost per child is normally distributed with a
In a random sample of 120 families that use day care, how many pay more than $7250 annually for day care per child?Assume the annual day care cost per child is normally distributed with a mean of
What percent of day care costs are less than $11,750 annually?Assume the annual day care cost per child is normally distributed with a mean of $8000 and a standard deviation of $1500.
What percent of day care costs are more than $11,750 annually?Assume the annual day care cost per child is normally distributed with a mean of $8000 and a standard deviation of $1500.
What percent of day care costs are between $6500 and $8750 annually?Assume the annual day care cost per child is normally distributed with a mean of $8000 and a standard deviation of $1500.
What percent of day care costs are more than $7100 annually?Assume the annual day care cost per child is normally distributed with a mean of $8000 and a standard deviation of $1500.
If the farm produces 500 watermelons, how many will weigh more than 24.48 pounds?Assume that the weight of ripe watermelons grown at Wambach’s farm are normally distributed with a mean of 20 pounds
If the farm produces 500 watermelons, how many will weigh less than 15.24 pounds?Assume that the weight of ripe watermelons grown at Wambach’s farm are normally distributed with a mean of 20 pounds
Determine the percent of watermelons that weigh more than 24.48 pounds.Assume that the weight of ripe watermelons grown at Wambach’s farm are normally distributed with a mean of 20 pounds and a
Determine the percent of watermelons that weigh between 15.24 pounds and 28.12 pounds.Assume that the weight of ripe watermelons grown at Wambach’s farm are normally distributed with a mean of 20
If 200 cars are selected at random, how many will be traveling faster than 70 mph?Assume that the speed of automobiles on an expressway during rush hour is normally distributed with a mean of 62 mph
If 200 cars are selected at random, how many will be traveling slower than 56 mph?Assume that the speed of automobiles on an expressway during rush hour is normally distributed with a mean of 62 mph
What percent of cars are traveling faster than 70 mph?Assume that the speed of automobiles on an expressway during rush hour is normally distributed with a mean of 62 mph and a standard deviation of
What percent of cars are traveling slower than 56 mph?Assume that the speed of automobiles on an expressway during rush hour is normally distributed with a mean of 62 mph and a standard deviation of
What percent of cars are traveling between 58 mph and 66 mph?Assume that the speed of automobiles on an expressway during rush hour is normally distributed with a mean of 62 mph and a standard
What percent of cars are traveling faster than 62 mph?Assume that the speed of automobiles on an expressway during rush hour is normally distributed with a mean of 62 mph and a standard deviation of
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,
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,
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,
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,
What percent of students who took the test have a mathematics score above 480?Assume that the mathematics scores on the SAT 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 400 and 575?Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a standard
What percent of students who took the test have a mathematics score below 300?Assume that the mathematics scores on the SAT 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 the SAT are normally distributed with a mean of 500 and a standard
What percent of students who took the test have a mathematics score above 680?Assume that the mathematics scores on the SAT 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 the SAT are normally distributed with a mean of 500 and a standard deviation of 100.
In a random sample of 500 callers, how many are on hold for at least 4 minutes?Assume the hold time of callers to General Cable is normally distributed with a mean of 3.0 minutes and a standard
Determine the percent of callers who are on hold at least 4 minutes?Assume the hold time of callers to General Cable is normally distributed with a mean of 3.0 minutes and a standard deviation of 0.8
Determine the percent of callers who are on hold between 2.2 minutes and 4.6 minutes.Assume the hold time of callers to General Cable is normally distributed with a mean of 3.0 minutes and a standard
Determine the percent of callers who are on hold for more than 3.0 minutes.Assume the hold time of callers to General Cable is normally distributed with a mean of 3.0 minutes and a standard deviation
Assume that the heights of 7-year-old girls are normally distributed. The heights of 8 girls are given in z-scores below.(a) Which girl is the tallest? (b) Which girl is the shortest? Emily 0.9
Assume that the heights of 7-year-old girls are normally distributed. The heights of 8 girls are given in z-scores below.(a) Which of these girls are taller than the mean?(b) Which of these girls are
Use Table 12.8 to determine the percent of data specified.Table 12.8:Between z = -2.71 and z = 3.21 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4
Use Table 12.8 to determine the percent of data specified.Table 12.8:Between z = 0.72 and z = 2.14 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4
Use Table 12.8 to determine the percent of data specified.Table 12.8:Between z = -1.53 and z = -1.82 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4
Use Table 12.8 to determine the percent of data specified.Table 12.8:Between z = 1.96 and z = 2.14 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4
Use Table 12.8 to determine the percent of data specified.Table 12.8:Between z = -2.18 and z = -1.90 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4
Use Table 12.8 to determine the percent of data specified.Table 12.8:Between z = -1.34 and z = 2.24 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4
Use Table 12.8 to determine the percent of data specified.Table 12.8:Greater than z = 2.66 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003
Use Table 12.8 to determine the percent of data specified.Table 12.8:Greater than z = -1.90 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003
Use Table 12.8 to determine the percent of data specified.Table 12.8:Less than z = -0.91 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003 .0003
Use Table 12.8 to determine the percent of data specified.Table 12.8:Less than z = 0.79 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003 .0003
Use Table 12.8 to find the specified area.Table 12.8:Between z = 1.23 and z = 1.81 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003 .0003 .0003
Use Table 12.8 to find the specified area.Table 12.8:Between z = -1.32 and z = -1.64 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003 .0003
Use Table 12.8 to find the specified area.Table 12.8:To the left of z = -0.92 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003
Use Table 12.8 to find the specified area.Table 12.8:To the left of z = -2.13 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003
Use Table 12.8 to find the specified area.Table 12.8:To the right of z = -1.78 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003 .0003 .0003
Use Table 12.8 to find the specified area.Table 12.8:To the left of z = -1.78 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003
Use Table 12.8 to find the specified area.Table 12.8:To the left of z = 1.43 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003
Use Table 12.8 to find the specified area.Table 12.8:To the right of z = 1.26 Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003
Use Table 12.8 to find the specified area.Table 12.8:Between 1.30 and 1.70 standard deviations above the mean. Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08
Use Table 12.8 to find the specified area.Table 12.8: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
Use Table 12.8 to find the specified area.Table 12.8:Below the mean. Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003 .0003
Use Table 12.8 to find the specified area.Above the mean.Table 12.8: Table of Areas to the Left of z When z Is Negative „00 .02 .04 .05 .01 .03 .06 .07 .08 .09 -3.4 .0003 .0003 .0003 .0003 .0003
The heights of a sample of high school seniors, where there are an equal number of males and females.State whether you think the distribution would be normal, J-shaped, bimodal, rectangular, skewed
The number of people per household in the United States.State whether you think the distribution would be normal, J-shaped, bimodal, rectangular, skewed left, or skewed right.
The numbers resulting from tossing a die many times.State whether you think the distribution would be normal, J-shaped, bimodal, rectangular, skewed left, or skewed right.
The wearout mileage of automobile tires.State whether you think the distribution would be normal, J-shaped, bimodal, rectangular, skewed left, or skewed right.
Fill in the blank with an appropriate word, phrase, or symbol(s).In a normal distribution, the mean, median, and mode all have the same ____________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).According to the empirical rule, in a normal distribution,(a) Approximately ________ % of the data lie within plus or minus 1 standard
Fill in the blank with an appropriate word, phrase, or symbol(s).(a) A data value that has a negative z-score is __________ the mean. (b) A data value that has a positive z-score is __________
Fill in the blank with an appropriate word, phrase, or symbol(s).The mean of a set of data will always have a z-score of ______________.
Jiffy Lube has franchises in two different parts of a city. The number of oil changes made daily, for 25 days, is given below.(a) Construct a frequency distribution for each store with a first class
The tables list the 10 highest-paid athletes in Major League Baseball and in the National Football League.Major League Baseball (2014 Season)Player . . . . . . . . . . . . . . . .. . . . . . . . . .
Patricia teaches two statistics classes, one in the morning and the other in the evening. On the midterm exam, the morning class had a mean of 75.2 and a standard deviation of 5.7. The evening class
By studying the standard deviation formula, explain why the standard deviation of a set of data will always be greater than or equal to 0.
Without actually doing the calculations, decide which, if either, of the following two sets of data will have the greater standard deviation. Explain why.
Without actually doing the calculations, decide which, if either, of the following two sets of data will have the greater standard deviation. Explain why.
The chart shown below uses the symbol σ 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
(a) What conclusions can you draw about changes in the mean and the standard deviation when each value in a set of data is multiplied by the same number? (b) The mean and standard deviation of
(a) What conclusions can you draw about changes in the mean and the standard deviation when the same number is added to or subtracted from each piece of data in a set of data? (b) How will the
Six people were asked to determine the amount of money they were carrying, to the nearest dollar. The results were $32, $60, $14, $25, $5, $68(a) Determine the range and standard deviation of the
The amount of money seven people spent on prescription medication in a year are as follows: $600, $100, $850, $350, $250, $140, $300. Determine the range and standard deviation of the amounts.Where
Determine the range and standard deviation of the following prices of selected camping tents: $109, $60, $80, $60, $210, $250, $60, $100, $115.Where appropriate, round standard deviations to the
Determine the range and standard deviation of the number of millgrams of caffeine in 9 selected soft drinks: 37, 43, 25, 80, 55, 33, 40, 30, 35.Where appropriate, round standard deviations to the
Determine the range and standard deviation of the following prices of selected running shoes: $90, $70, $100, $150, $160, $80, $120.Where appropriate, round standard deviations to the nearest
Determine the range and standard deviation of the set of data. When appropriate, round standard deviations to the nearest hundredth.60, 58, 62, 67, 48, 51, 72, 70

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