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statistics informed decisions using data
Questions and Answers of
Statistics Informed Decisions Using Data
How frequently was the temperature interval of 1,504 to 1,512 observed?
What were the temperature interval and the frequency that were observed the most?
What were the temperature interval and frequency of the least observed value in this study?
How many years of education mark the middle point of the distribution (the 50th percentile)?
Forty percent of the population exceeded how many years of education? (60th percentile)?
What are the lower and upper values for the middle 20% (40th to 60th percentile)?
A particular employment position required the applicant to have completed 16 years of education. Approximately what percentage of the people would meet this requirement?What is the percentile?
(a) What percentage of single individuals choose to live in towns, villages, and the country? (b) What percentage of married individuals choose to live in towns, villages, and the country? (c) What
(a) Which college has the greatest difference in starting salaries? (b) Which college has the highest starting salary for females?(c) Which college has the highest starting salary for males?(d)
(a) What percentage of those not completing high school were females?(b) What percentage of those not completing high school were males? (c) What percentage of those completing high school were
(a) Which of the 10 groups has the highest credit card debt and what is the amount? (b) Which of the groups has the least amount of credit card debt? (c) Can you identify any pattern between married
(a) How many of male respondents in this study had some college degree?(b) How would you describe the largest group of respondents? (c) What could be stated about the differences between male and
What percentage of the 9,449 survey respondents live in the Eastern part of the county?
Which county region has the largest percentage of respondents?
Which county region has the smallest percentage of respondents?
What are the ranks (from the least to most respondents) for the five different regions?
Which credit card is in use by the highest percentage of people, and how many people does this percentage represent?
Which of the five card categories represent the fewest card users, and what is the number and percentage of individuals in this category?
What are the ranks of the credit cards in terms of their number and percentage of users from the most to the least popular?
(a) What percentage of people have a high school degree? (b) What is the category of education that has the highest percentage of people? (c) What is the category of education that has the lowest
(a) What percentage of people are 18 to 24 years old? (b) How many individuals are 50 to 64 years old? (c) What is the largest age category? (d) What is the quantity and its respective percentage for
(a) What is the largest income category, and what percentage of the whole does it represent? (b) What is the percentage of individuals who are in the highest income category? (c) What is the second
(a) What is the largest region and what percentage of the total respondents does it represent?(b) Which region is the smallest, and how many individuals does it have?(c) What is the number of
(a) What is the largest employment category, and what percentage of the total does it represent? (b) What is the second largest employment category, and what is its percentage? (c) What is the
How many customers are in each of the five categories of the educational variable?
What are the percentages of customers in each of the five educational categories?
What are the relative ranks of the five educational categories?
How are the years of education distributed around their mean value?
Are the ages distributed skewed right, left, or are they normal?
How many individuals were reported to have the mean years of education?
Is there a trend when looking at years of education and mean household income?
What is the mean household income for someone with 19 years of education?
How many years of education mark the point of a steady upward increase in household income, and what are the income amounts?
In the months preceding and including October, is there any consistent trend in the sales of jewelry?
What happened to the sales of jewelry following October, and what is a reasonable explanation?
Can you offer some explanation for the spike in sales during the month of May?
For each of the six job categories, are males and females equally represented?
Which job category attracts the most and least females?
Which job category attracts the most and least males?
What is the mean household income for males in the Managerial and Professional category?
What is the mean household income for females working in the Service category?
Which job category represents the highest household income for males?
Which job category represents the lowest household income for females?
In which job category are males and females most likely to have the same household income?
What are the numbers of observations in each of the five categories that rate the respondent’s level of job satisfaction?
Which of the seven store departments had the most customer visits, and what was this number?
How many individuals are in each of the five different credit card categories?
What are the percentages of observations in each of the five job satisfaction categories?
If the 146 customer visits is used to estimate the number of appliance department visits at the larger store population, what are the lower and upper limits of this estimate?
What proportion of the 26,280 individuals are in each of the five categories?
What are the numbers of observations in each of the two categories of marital status?
Given the information in the previous two answers, what can be said about the expected number of visits at the larger population of retail stores?
Which of the five categories of credit card types is the most popular?
What are the percentages of observations in each of the two categories?
What are the lower and upper 95% confidence limits for the electronics department and what was the samples observed number of customers?
Rank the popularity of the five credit card categories from the least to the most?
What are the numbers of observations in each of the four building type categories?
What are the percentages of observations in each of the four building type categories?
(a) Which of the five levels of education has the most individuals and what is this number?(b) If the sample of telco’s customers that earned a high school degree (287) is used to estimate the
How are the three races (White, Black, and Other) distributed between the three regions of North East, South East, and West.
What are the proportions of males and females in each of the six occupational categories?
What region do those in the White race category prefer?
You want to explore the database seeking to discover any relationship between gender and outlook on life.(a) What are the gender differences for each category?(b) Which of the three life outlook
What are the first, second, and third choices of those in the Black category?
You want to explore the database seeking to discover any relationship between gender and outlook on life.(a) What percentage of males think that life is Exciting?(b) What percentage of females think
Which region had the highest percentage of those categorized as White?
(a) What percentage of individuals who live in the Eastern county voted in the last election?(b) What percentage of individuals who live in the Northern county did not vote in the last election?(c)
Rank the regions, in order from the least chosen to the most chosen by those respondents who were classified as “Other.”
(a) What percentage of individuals who strongly disagree that there should be a gas tax are older than 60?(b) What percentage of individuals who agree that there should be a new gas tax are aged 18
Which region is the least desirable for the White category?
The median is less than 8 . An analysis of the data reveals that there are 10 minus signs and 8 plus signs.Use the sign test to test the given alternative hypothesis at the \(\alpha=0.05\) level of
The median is different from 120. An analysis of the data reveals that there are 35 minus signs and 28 plus signs.Use the sign test to test the given alternative hypothesis at the \(\alpha=0.05\)
An economist believes that the median income of lawyers who recently graduated from law school is more than \(\$ 64,000\). He queries a random sample of 12 lawyers and obtains the accompanying data.
One important variable to consider in trading stock is the daily volume. Volume is measured in number of shares traded in the stock. Stocks with lower volume tend to have more variability in the
According to Colliers International, the median monthly parking rate in the United States for 2012 was \(\$ 164.80\). The data in Table 7 represent a random sample of monthly parking rates in
Hypotheses: \(H_{0}: M_{D}=0\) versus \(H_{1}: M_{D}>0\) with \(n=10\) and \(T_{-}=25\).Use the Wilcoxon matched-pairs signedranks test to test the given hypotheses at the \(\alpha=0.05\) level of
Hypotheses: \(H_{0}: M_{D}=0\) versus \(H_{1}: M_{D}>0\) with \(n=20\) and \(T_{-}=-65\).Use the Wilcoxon matched-pairs signedranks test to test the given hypotheses at the \(\alpha=0.05\) level of
Hypotheses: \(H_{0}: M_{D}=0\) versus \(H_{1}: M_{D}>0\) with \(n=14\) and \(T_{-}=-21\).Use the Wilcoxon matched-pairs signedranks test to test the given hypotheses at the \(\alpha=0.05\) level of
Hypotheses: \(H_{0}: M_{D}=0\) versus \(H_{1}: M_{D} eq 0\) with \(n=23, T_{-}=65\), and \(T_{+}=121\).Use the Wilcoxon matched-pairs signedranks test to test the given hypotheses at the
Ten women participate in a study. A physical therapist measures the women's waistlines before and 8 weeks after a rigorous exercise program begins. Test whether the program decreased the median
When exposed to an infection, a person typically develops antibodies. The extent to which the antibodies respond can be measured by looking at a person's titer, which is a measure of the number of
An engineer is comparing the time to failure (in flight hours) of two different air conditioners for airplanes and wants to determine if the median time to failure for model \(\mathrm{Y}\) is longer
Hypotheses: \(H_{0}: M_{x}=M_{y}\) versus \(H_{1}: M_{x} eq M_{y}\) with \(n_{1}=12, n_{2}=15\), and \(S=170\)Use the Mann-Whitney test to test the given hypotheses at the \(\alpha=0.05\) level of
Hypotheses: \(H_{0}: M_{x}=M_{y}\) versus \(H_{1}: M_{x} eq M_{y}\) with \(n_{1}=10, n_{2}=8\), and \(S=100\)Use the Mann-Whitney test to test the given hypotheses at the \(\alpha=0.05\) level of
Hypotheses: \(H_{0}: M_{x}=M_{y}\) versus \(H_{1}: M_{x}
Hypotheses: \(H_{0}: M_{x}=M_{y}\) versus \(H_{1}: M_{x}>M_{y}\) with \(n_{1}=15, n_{2}=14\), and \(S=290\)Use the Mann-Whitney test to test the given hypotheses at the \(\alpha=0.05\) level of
A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the number of bacteria per cubic foot for random samples of both types of rooms.Test whether
A golf pro wanted to learn the relation between the club-head speed of a golf-club (measured in miles per hour) and the distance the ball travels. He realized that there are other variables besides
A family doctor wants to determine if the distributions of HDL cholesterol in males for the age groups 20 to 29 years, 40 to 49 years, and 60 to 69 years old are different. He obtains a simple random
The division from which the winner of the National Basketball Association's champion came for the years 1991 to 2015 is given in the following list, where the Western Conference is represented by a W
An introductory statistics instructor believes that the median number of hours that students study each week is less than 15 . He randomly sampled 20 students, asked them to disclose the number of
An article at Mobilize.org reported that the median credit-card balance for undergraduate students was \(\$ 1770\) for those who carried a balance from month to month. A professor at a community
A sports reporter thinks that the median weight of offensive linemen in the NFL is greater than 300 pounds. He obtains a random sample of 30 offensive linemen and obtains the data shown in Table 4.
Use Minitab to obtain the results of Tukey's test for the shear bond strength data from Example 1 in Section 13.1.Approach The steps for obtaining the results of Tukey's test using Minitab, Excel,
In the mid-19th century, Paul Broca, a professor of clinical surgery, effectively argued that the degree of a person's intelligence was directly related to the size of the brain.Arguments regarding
Obtain the standard error of the estimate for the data in Table 1 using statistical software.Approach Use Excel to obtain the standard error. The steps for obtaining the standard error of the
Verify that the residuals obtained in Table 2 are normally distributed.Approach Construct a normal probability plot to assess normality. If the correlation between the residuals and expected
A pediatrician wants to - determine the relation that may exist between a child's height and head circumference. She randomly selects 11 children from her practice, measures their heights and head
Construct a 95\% confidence interval for the predicted mean total cholesterol of all 42-year-old females using the data in Table 1.Approach Determine a confidence interval for the predicted mean
Construct a 95\% prediction interval for the predicted total cholesterol of a 42-year-old female.Approach Determine the predicted total cholesterol at \(x^{*}=42\) and use Formula (2), since our
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