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Questions and Answers of
Business Statistics
When the data are symmetrical, what is the typical relationship between the mean and median?
What word describes a distribution that has two modes?
Describe the shape of this distribution. 10 8 6 4 2 0 3 4 5 6 7
Describe the relationship between the mode and the median of this distribution. 10 8 6 4 2 0 3 4 5 6 7
Describe the relationship between the mean and the median of this distribution. 10 8 6 4 2 0 3 4 5 60 7
Describe the shape of this distribution. 10 8 6 4 2 0 3 - 4 5 6 7
Are the mean and the median the exact same in this distribution? Why or why not? 10 8 6 4 2 0 3 4 5 6 7
Describe the shape of this distribution. 7 88 6 5 4 3 2 1 0 3 4 5 6 7
Describe the relationship between the mode and the median of this distribution. 8 7 6 65 4 32 10 3 4 5 6 7
Describe the relationship between the mean and the median of this distribution. 8 7 6 5 4 3 2 1 0 3 4 5 6 7
The mean and median for the data are the same.3; 4; 5; 5; 6; 6; 6; 6; 7; 7; 7; 7; 7; 7; 7 Is the data perfectly symmetrical? Why or why not?
Which is the greatest, the mean, the mode, or the median of the data set?11; 11; 12; 12; 12; 12; 13; 15; 17; 22; 22; 22
Which is the least, the mean, the mode, and the median of the data set?56; 56; 56; 58; 59; 60; 62; 64; 64; 65; 67
Of the three measures, which tends to reflect skewing the most, the mean, the mode, or the median? Why?
In a perfectly symmetrical distribution, when would the mode be different from the mean and median?
Use a graphing calculator or computer to find the standard deviation and round to the nearest tenth.The following data are the distances between 20 retail stores and a large distribution center. The
Find the value that is one standard deviation below the mean.The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.29; 37; 38; 40;
Use Table 2.59 to find the value that is three standard deviations:a. above the meanb. below the mean Baseball Player Batting Average Team Batting Average Team Standard Deviation Fredo 0.158 0.166
Two baseball players, Fredo and Karl, on different teams wanted to find out who had the higher batting average when compared to his team. Which baseball player had the higher batting average when
Find the standard deviation for the following frequency tables using the formula. Check the calculations with the TI 83/84. Frequency a. Grade 49.5-59.5 2 59.5-69.5 3 69.5-79.5 8 79.5-89.5 12
Suppose that three book publishers were interested in the number of fiction paperbacks adult consumers purchase per month. Each publisher conducted a survey. In the survey, adult consumers were asked
Often, cruise ships conduct all on-board transactions, with the exception of gambling, on a cashless basis. At the end of the cruise, guests pay one bill that covers all onboard transactions. Suppose
Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows.a. Construct a histogram of the data.b. Complete the columns of the
The percentage of people who own at most three t-shirts costing more than $19 each is approximately:a. 21b. 59c. 41d. Cannot be determined Suppose one hundred eleven people who shopped in a special
If the data were collected by asking the first 111 people who entered the store, then the type of sampling is:a. clusterb. simple randomc. stratifiedd. convenience Suppose one hundred eleven people
Following are the 2010 obesity rates by U.S. states and Washington, DC.Construct a bar graph of obesity rates of your state and the four states closest to your state. State Percent (%) State Percent
Six hundred adult Americans were asked by telephone poll, "What do you think constitutes a middle-class income?"The results are in Table 2.71. Also, include left endpoint, but not the right
The median age for U.S. blacks currently is 30.9 years; for U.S. whites it is 42.3 years.a. Based upon this information, give two reasons why the black median age could be lower than the white median
The most obese countries in the world have obesity rates that range from 11.4% to 74.6%. This data is summarized in the following table.a. What is the best estimate of the average obesity percentage
Table 2.73 gives the percent of children under five considered to be underweight. What is the best estimate for the mean percentage of underweight children? Percent of Underweight Children Number of
A sample of 10 prices is chosen from a population of 100 similar items. The values obtained from the sample, and the values for the population, are given in Table 2.74 and Table 2.75 respectively.a.
A standardized test is given to ten people at the beginning of the school year with the results given in Table 2.76 below.At the end of the year the same people were again tested.a. What is the
A small class of 7 students has a mean grade of 82 on a test. If six of the grades are 80, 82,86, 90, 90, and 95, what is the other grade?
If the mean of 20 prices is \($10.39\), and 5 of the items with a mean of \($10.99\) are sampled, what is the mean of the other 15 prices?
An investment grows from $10,000 to $22,000 in five years. What is the average rate of return?
An initial investment of $20,000 grows at a rate of 9% for five years. What is its final value?
A culture contains 1,300 bacteria. The bacteria grow to 2,000 in 10 hours. What is the rate at which the bacteria grow per hour to the nearest tenth of a percent?
An investment of $10,000 goes down to $9,500 in four years. What is the average return per year to the nearest hundredth of a percent?
An investment of $3,000 grows at a rate of 5% for one year, then at a rate of 8% for three years. What is the average rate of return to the nearest hundredth of a percent?
The median age of the U.S. population in 1980 was 30.0 years. In 1991, the median age was 33.1 years.a. What does it mean for the median age to rise?b. Give two reasons why the median age could
A sample of 11 years is taken. About how many are expected to have a FTES of 1014 or above? Explain how you determined your answer.The population parameters below describe the full-time equivalent
75% of all years have an FTES:a. at or below: _____b. at or above: _____ The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community
The population standard deviation = _____ The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976–1977
What percent of the FTES were from 528.5 to 1447.5? How do you know?The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community
Calculate the mean, median, standard deviation, the first quartile, the third quartile and the IQR. Round to one decimal place.The population parameters below describe the full-time equivalent number
Three students were applying to the same graduate school. They came from schools with different grading systems.Which student had the best GPA when compared to other students at his school? Explain
Compare the IQR for the FTES for 1976–77 through 2004–2005 with the IQR for the FTES for 2005-2006 through 2010–2011. Why do you suppose the IQRs are so different?The population parameters
A music school has budgeted to purchase three musical instruments. They plan to purchase a piano costing \($3,000\), a guitar costing \($550\), and a drum set costing \($600\). The mean cost for a
An elementary school class ran one mile with a mean of 11 minutes and a standard deviation of three minutes. Rachel, a student in the class, ran one mile in eight minutes. A junior high school class
The most obese countries in the world have obesity rates that range from 11.4% to 74.6%. This data is summarized in Table 14.What is the best estimate of the average obesity percentage for these
Table 2.80 gives the percent of children under five considered to be underweight.What is the best estimate for the mean percentage of underweight children? What is the standard deviation? Which
Javier and Ercilia are supervisors at a shopping mall. Each was given the task of estimating the mean distance that shoppers live from the mall. They each randomly surveyed 100 shoppers. The samples
What is the IQR?a. 8b. 11c. 15d. 35 We are interested in the number of years students in a particular elementary statistics class have lived in California. The information in the following table is
What is the mode?a. 19b. 19.5c. 14 and 20d. 22.65 We are interested in the number of years students in a particular elementary statistics class have lived in California. The information in the
Is this a sample or the entire population?a. sampleb. entire populationc. neither We are interested in the number of years students in a particular elementary statistics class have lived in
Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers owned. The results are as follows:a. Find the sample mean X̅b. Find
Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:a. Find the sample mean X̅ .b. Find the approximate sample standard
Following are the published weights (in pounds) of all of the team members of the San Francisco 49ers from a previous year.177; 205; 210; 210; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185;
One hundred teachers attended a seminar on mathematical problem solving. The attitudes of a representative sample of 12 of the teachers were measured before and after the seminar. A positive number
Refer to Figure 2.25 determine which of the following are true and which are false. Explain your solution to each part in complete sentences.a. The medians for both graphs are the same.b. We cannot
In a recent issue of the IEEE Spectrum, 84 engineering conferences were announced. Four conferences lasted two days. Thirty-six lasted three days. Eighteen lasted four days. Nineteen lasted five
A survey of enrollment at 35 community colleges across the United States yielded the following figures:6414; 1550; 2109; 9350; 21828; 4300; 5944; 5722; 2825; 2044; 5481; 5200; 5853; 2750; 10012;
The 80th percentile is _____a. 5b. 80c. 3d. 4 X = the number of days per week that 100 clients use a particular exercise facility. x Frequency 03 1 12 2 33 3 28 4 11 5 9 6 4 Table 2.85
The number that is 1.5 standard deviations BELOW the mean is approximately _____a. 0.7b. 4.8c. –2.8d. Cannot be determined X = the number of days per week that 100 clients use a particular exercise
Suppose that a publisher conducted a survey asking adult consumers the number of fiction paperback books they had purchased in the previous month. The results are summarized in the Table 2.86.a. Are
A fitness center is interested in the mean amount of time a client exercises in the center each week.identify:a. the population,b. the sample,c. the parameter,d. the statistic,e. the variable, andf.
Ski resorts are interested in the mean age that children take their first ski and snowboard lessons. They need this information to plan their ski classes optimally.identify:a. the population,b. the
A cardiologist is interested in the mean recovery period of her patients who have had heart attacks.identify:a. the population,b. the sample,c. the parameter,d. the statistic,e. the variable, andf.
Insurance companies are interested in the mean health costs each year of their clients, so that they can determine the costs of health insurance.identify:a. the population,b. the sample,c. the
A politician is interested in the proportion of voters in his district who think he is doing a good job.identify:a. the population,b. the sample,c. the parameter,d. the statistic,e. the variable,
A marriage counselor is interested in the proportion of clients she counsels who stay married.identify:a. the population,b. the sample,c. the parameter,d. the statistic,e. the variable, andf. the
Political pollsters may be interested in the proportion of people who will vote for a particular cause.identify:a. the population,b. the sample,c. the parameter,d. the statistic,e. the variable,
A marketing company is interested in the proportion of people who will buy a particular product.identify:a. the population,b. the sample,c. the parameter,d. the statistic,e. the variable, andf. the
What is the population she is interested in?a. all Lake Tahoe Community College studentsb. all Lake Tahoe Community College English studentsc. all Lake Tahoe Community College students in her
Consider the following:X = number of days a Lake Tahoe Community College math student is absent In this case, X is an example of a:a. variable.b. population.c. statistic.d. data.A Lake Tahoe
The instructor’s sample produces a mean number of days absent of 3.5 days. This value is an example of a:a. parameter.b. data.c. statistic.d. variable.A Lake Tahoe Community College instructor is
number of tickets sold to a concert identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the
percent of body fat identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.
favorite baseball team identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.
time in line to buy groceries identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.
number of students enrolled at Evergreen Valley College identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give
most-watched television show identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.
brand of toothpaste identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data.
distance to the closest movie theatre identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the
age of executives in Fortune 500 companies identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of
number of competing computer spreadsheet software packages identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and
“Number of times per week” is what type of data?a. qualitative (categorical)b. quantitative discretec. quantitative continuous A study was done to determine the age, number of times per week, and
“Duration (amount of time)” is what type of data?a. qualitative (categorical)b. quantitative discretec. quantitative continuous A study was done to determine the age, number of times per week,
Airline companies are interested in the consistency of the number of babies on each flight, so that they have adequate safety equipment. Suppose an airline conducts a survey. Over Thanksgiving
Suppose you want to determine the mean number of students per statistics class in your state. Describe a possible sampling method in three to five complete sentences. Make the description detailed.
Suppose you want to determine the mean number of cans of soda drunk each month by students in their twenties at your school. Describe a possible sampling method in three to five complete sentences.
List some practical difficulties involved in getting accurate results from a telephone survey.
List some practical difficulties involved in getting accurate results from a mailed survey.
With your classmates, brainstorm some ways you could overcome these problems if you needed to conduct a phone or mail survey.
The instructor takes her sample by gathering data on five randomly selected students from each Lake Tahoe Community College math class. The type of sampling she used isa. cluster samplingb.
A study was done to determine the age, number of times per week, and the duration (amount of time) of residents using a local park in San Jose. The first house in the neighborhood around the park was
Name the sampling method used in each of the following situations:a. A woman in the airport is handing out questionnaires to travelers asking them to evaluate the airport’s service.She does not ask
A “random survey” was conducted of 3,274 people of the “microprocessor generation” (people born since 1971, the year the microprocessor was invented). It was reported that 48% of those
The Well-Being Index is a survey that follows trends of U.S. residents on a regular basis. There are six areas of health and wellness covered in the survey: Life Evaluation, Emotional Health,
In advance of the 1936 Presidential Election, a magazine titled Literary Digest released the results of an opinion poll predicting that the republican candidate Alf Landon would win by a large
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