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mathematics
a survey of mathematics with applications
Questions and Answers of
A Survey of Mathematics with Applications
The data in the table on page 768 indicate the cost of living in 2018, by state. The cost of living is a measure of the average price paid for housing, utilities, groceries, healthcare,
Use Table to determine the specified area.Below 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
a) Determine the mean, median, mode, and midrange for 16, 26, 27, 27, 29, 31, 33, 39.b) Change the 33 in part (a) to 37. Determine the mean, median, mode, and midrange.c) Which average(s) were
The data in the table on page 768 indicate the cost of living in 2018, by state. The cost of living is a measure of the average price paid for housing, utilities, groceries, healthcare,
Use Table to determine the specified area.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
The data in the table on page 768 indicate the cost of living in 2018, by state. The cost of living is a measure of the average price paid for housing, utilities, groceries, healthcare,
The number of children per family.State whether you think the distribution would be normal, J-shaped, bimodal, rectangular, skewed left, or skewed right.
Most accidents occur on Saturday night. That means people do not drive carefully on Saturday night.Discuss the statement and tell what possible misuses or misinterpretations may exist.
Consider the illustrations of two bank-customer waiting systems.a) How would you expect the mean waiting time in Bank A to compare with the mean waiting time in Bank B?b) How would you expect the
The data in the table on page 768 indicate the cost of living in 2018, by state. The cost of living is a measure of the average price paid for housing, utilities, groceries, healthcare,
A spinner can land on equally sized sectors of a circle labeled 1–4, respectively. The number resulting from spinning the spinner many times.State whether you think the distribution would be
In the last 10 games of the 2019 season, the Syracuse University women's basketball team scored the following points: 76, 67, 92, 66, 70, 64, 94, 68, 90, 77. Determine the mean, median, mode, and
The data represent the approximate 2018 population, in millions, of the 20 most populous cities in the world.Use these data to construct a frequency distribution with a first class of 12.0-15.9. 38.0
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
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.5, 15, 5, 15, 5, 15
The data represent the approximate 2018 population, in millions, of the 20 most populous cities in the world.Use these data to construct a frequency distribution with a first class of 12.0-17.9. 38.0
Peak hours at a restaurant that only serves lunch and dinner.State whether you think the distribution would be normal, J-shaped, bimodal, rectangular, skewed left, or skewed right.
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.6, 8, 12, 13, 11, 13, 15, 17
The manager at Planet Fitness wants to administer a satisfaction survey to its current members. Using its membership roster, the manager randomly selects 40 members and sends them an email with a
The data represent the approximate 2018 population, in millions, of the 20 most populous cities in the world.Use these data to construct a frequency distribution with a first class of 2.5-15.4. 38.0
Assume that a sample of bivariate data yields the correlation coefficient, r, indicated. Use Table for the specified sample size and level of significance to determine whether a linear correlation
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.16, 14, 20, 22, 21, 29, 385, 50, 47, 18
To determine customer opinion of its carry-on luggage policy, American Airlines randomly selects 50 flights and surveys all passengers of those flights.Identify the sampling technique used to obtain
The data represent the approximate 2018 population, in millions, of the 20 most populous cities in the world.Use these data to construct a frequency distribution with a first class of 12.5-17.4. 38.0
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.1, 7, 11, 27, 36, 14, 12, 9, 1
A radio station DJ asks her listeners to call in their opinions regarding a new song.Identify the sampling technique used to obtain a sample.
Use the data given in Table to construct a frequency distribution with a first class (in millions) of 50-149.Novel
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.2, 2, 2, 2, 5, 5, 5, 5, 8, 10, 15, 17, 21, 25
The Oneida town supervisor wants to determine residents’ opinions regarding town services. She divides the residents into three income classes: workingclass households, middle-class households, and
Determine the range and standard deviation of the following number of grams of sugar in selected cereals: 13, 6, 15, 2, 14, 6, 20, 0, 14.Where appropriate, round standard deviations to the nearest
Use the data given in Table to construct a frequency distribution with a first class (in millions) of 50-99.Novel
Assume that a sample of bivariate data yields the correlation coefficient, r, indicated. Use Table for the specified sample size and level of significance to determine whether a linear correlation
The wingspan of a full-grown red-tailed hawk.State whether you think the distribution would be normal, J-shaped, bimodal, rectangular, skewed left, or skewed right.
Determine the range and standard deviation of the following prices of selected wireless headphones: $90, $30, $50, $40, $85, $60, $90, $75.Where appropriate, round standard deviations to the nearest
Use the data given in Table to construct a frequency distribution with a first class (in millions) of 0-74.Novel
Assume that a sample of bivariate data yields the correlation coefficient, r, indicated. Use Table for the specified sample size and level of significance to determine whether a linear correlation
Give an example of the type of distribution.Bimodal
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
Use the data given in Table to construct a frequency distribution with a first class (in millions) of 0-99.Novel
Viewers of Hulu are classified according to age. A random sample of viewers from each age group is selected.Identify the sampling technique used to obtain a sample.
Fill in the blank with an appropriate word, phrase, or symbol(s).A plot of data points is called a(n) ________ diagram.
Fill in the blank with an appropriate word, phrase, or symbol(s).A bar graph with observed values on its horizontal scale and frequencies on its vertical scale is called a(n) ________.
See Example 4. Shelby is a real estate broker with a house listing. Shelby estimates that this listing will cost him $3000 for various expenses. If Shelby sells the house within 6 months, he will
Which contains information about 36 jars of salsa available at the Meals for Millions Food Pantry.If a jar is randomly selected, determine the probability that the salsa is not a medium salsa.Write
The faculty of Macomb Community College were surveyed to determine the brand of smartphone they owned. The results are shown in the table below.If a faculty member is randomly selected, determine the
a) What is a random sample?b) What is a systematic sample?c) What is a cluster sample?d) What is a stratified sample?e) What is a convenience sample?
Fill in the blank with an appropriate word, phrase, or symbol(s).Making generalizations or predictions from the data collected is called ________ statistics.
Fill in the blank with an appropriate word, phrase, or symbol(s).The standard deviation of a set of data in which all the data values are the same is ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).When a sample is obtained by drawing every nth item, the sample is called a(n) ________ sample.
Fill in the blank with an appropriate word, phrase, or symbol(s).The value halfway between the lowest and highest values in a set of data is called the ________.
For the set of data 22, 38, 38, 40, 47, determine the standard deviation.
Fill in the blank with an appropriate word, phrase, or symbol(s).A measure of how far, in terms of standard deviations, a given data value is from the mean is called a z-score or a(n) ________ score.
Fill in the blank with an appropriate word, phrase, or symbol(s).A line graph with observed values on its horizontal scale and frequencies on its vertical scale is called a frequency ________.
Determine the range and standard deviation of the set of data. When appropriate, round standard deviations to the nearest hundredth.7, 5, 2, 8, 13
Fill in the blank with an appropriate word, phrase, or symbol(s).The measures of position that divide a set of data into four equal parts are called ________.
A frequency distribution; let the first class be 25–30.Use the set of datato construct the following. 26 28 35 46 49 56 26 30 36 46 49 58 26 32 40 47 50 58 26 32 44 47 52 62 27 35 46 47 54 66
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 ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).In a stem-and-leaf displaya) The left group of digits is called the ________.b) The right group of digits is called the ________.
Use the following test scores: 65, 72, 77, 81, 82, 91. Determine the mean.
Determine the range and standard deviation of the set of data. When appropriate, round standard deviations to the nearest hundredth.12, 12, 16, 18, 10, 10
Fill in the blank with an appropriate word, phrase, or symbol(s).A sample that consists of a random selection of groups or units is called a(n) ________ sample.
Fill in the blank with an appropriate word, phrase, or symbol(s).The measures of position that divide a set of data into 100 equal parts are called ________.
A histogram of the frequency distribution.Use the set of datato construct the following. 26 28 35 46 49 56 26 30 36 46 49 58 26 32 40 47 50 58 26 32 44 47 52 62 27 35 46 47 54 66
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 ________ the mean.
Use the following test scores: 65, 72, 77, 81, 82, 91. Determine the median.
Use the following test scores: 65, 72, 77, 81, 82, 91. Determine the standard deviation.
Determine the range and standard deviation of the set of data. When appropriate, round standard deviations to the nearest hundredth.150, 151, 152, 153, 154, 155, 156
Fill in the blank with an appropriate word, phrase, or symbol(s).When a population is divided into parts, called strata, for the purpose of drawing a sample, the procedure is known as ________
Fill in the blank with an appropriate word, phrase, or symbol(s).a) The symbol for the sample mean is ________.b) The symbol for the population mean is ________.
A frequency polygon of the frequency distribution on the same set of axes as the histogram.Use the set of datato construct the following. 26 28 35 46 49 56 26 30 36 46 49 58 26 32 40 47 50 58 26 32
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
Use the following test scores: 65, 72, 77, 81, 82, 91. Determine the mode.
Determine the range and standard deviation of the set of data. When appropriate, round standard deviations to the nearest hundredth.12, 16, 17, 21, 9, 18, 20, 21, 15, 11
Fill in the blank with an appropriate word, phrase, or symbol(s).A sample that uses data that are easily or readily obtained is called a(n) ________ sample.
Fill in the blank with an appropriate word, phrase, or symbol(s).a) Another name for the 25th percentile is the ________ quartile.b) Another name for the 50th percentile is the ________ quartile.c)
Use the following test scores: 65, 72, 77, 81, 82, 91. Determine the midrange.
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 ________.
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.11, 12, 12, 14, 16, 16, 16, 27, 29
Give an example of the type of distribution.Rectangular
Glendale Community College is planning to expand its library. Forty students were asked how many times they visited the library during the previous semester. Their responses are given below.
Use the following test scores: 65, 72, 77, 81, 82, 91. Determine the range.
Every 10th refrigerator coming off an assembly line is checked for defects.Identify the sampling technique used to obtain a sample.
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.5, 7, 8, 8, 8, 10, 10
Give an example of the type of distribution.Skewed
Assume that a sample of bivariate data yields the correlation coefficient, r, indicated. Use Table for the specified sample size and level of significance to determine whether a linear correlation
Determine the mean, median, mode, and midrange of the set of data. Where appropriate, round your answer to the nearest tenth.61, 67, 79, 40, 85, 37, 81
Give an example of the type of distribution.J-shaped
Assume that a sample of bivariate data yields the correlation coefficient, r, indicated. Use Table for the specified sample size and level of significance to determine whether a linear correlation
Fill in the blank with an appropriate word, phrase, or symbol(s).If one quantity increases as the other quantity increases, the two variables are said to have a(n) ________ correlation.
Fill in the blank with an appropriate word, phrase, or symbol(s).A normal distribution is a(n) ________ shaped distribution.
For the set of data 22, 38, 38, 40, 47, determine the range.
Fill in the blank with an appropriate word, phrase, or symbol(s).The piece of data that occurs most frequently in a set of data is called the ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).A subset of a population used by statisticians to make predictions about a population is called a(n) ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).The symbol s is used to indicate the standard deviation of a(n) ________.
In 2017, there were 90 million Amazon Prime subscribers in the United States. In 2018, there were 101 million Amazon Prime subscribers in the United States. Draw a bar graph that appears to show aa)
Fill in the blank with an appropriate word, phrase, or symbol(s).If one quantity increases as the other quantity decreases, the two variables are said to have a(n) ________ correlation.
Fill in the blank with an appropriate word, phrase, or symbol(s).A distribution in which two nonadjacent data values occur more frequently than any other values in a set of data is called a(n)
Fill in the blank with an appropriate word, phrase, or symbol(s).In a frequency distribution, another name for the midpoint of a class is the class ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).a) A distribution that has a “tail” on its right is skewed to the ________ .b) A distribution that has a “tail” on its left is
Fill in the blank with an appropriate word, phrase, or symbol(s).A distribution in which the frequency is either constantly increasing or constantly decreasing is called a(n) ________ distribution.
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