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Elementary Statistics A Step By Step Approach 8th Edition Allan Bluman - Solutions

In a sample of 200 men, 130 said they used seat belts. In a sample of 300 women, 63 said they used seat belts. Test the claim that men are more safety conscious than women, at α = 0.01. Use the P-value method.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute
A survey found that in a sample of 75 families, 26 owned dogs. A survey done 15 years ago found that in a sample of 60 families, 26 owned dogs. At α = 0.05 has the proportion of dog owners changed over the 15-year period? Find the 95% confidence interval of the true difference in the proportions.
Bullying is a problem at any age but especially for students aged 12 to 18. A study showed that 7.2% of all students in this age bracket reported being bullied at school during the past six months with 6th grade having the highest incidence at 13.9% and 12th grade the lowest at 2.2%. To see if
A sample of 200 teenagers shows that 50 believe that war is inevitable, and a sample of 300 people over age 60 shows that 93 believe war is inevitable. Is the proportion of teenagers who believe war is inevitable different from the proportion of people over age 60 who do? Use α = 0.01. Find the
It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hypertensive. A random sample of 150 of each gender was selected from recent hospital records, and the following results were obtained. Can you conclude that a higher
Find the 99% confidence interval for the difference in the population proportions for the data of a study in which 80% of the 150 Republicans surveyed favored the bill for a salary increase and 60% of the 200 Democrats surveyed favored the bill for a salary increase.
The percentages of ontime arrivals for major U.S. airlines range from 68.6 to 91.1. Two regional airlines were surveyed with the following results. At a 0.01 is there a difference in proportions?
It seems that people are choosing or finding it necessary to work later in life. Random samples of 200 men and 200 women age 65 or older were selected, and 80 men and 59 women were found to be working. At α = 0.01, can it be concluded that the proportions are different?
National statistics show that 23% of men smoke and 18.5% of women do. A random sample of 180 men indicated that 50 were smokers, and of 150 women surveyed, 39 indicated that they smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers. Comment
The percentages of adults 25 years of age and older who have completed 4 or more years of college are 23.6% for females and 27.8% for males. A random sample of women and men who were 25 years old or older was surveyed with these results. Estimate the true difference in proportions with 95%
Find the proportions and for each.a. n = 48, X = 34 b. n = 75, X = 28 c. n = 100, X = 50 d. n = 24, X = 6 e. n = 144, X = 12
Find each X, given .a. = 0.16, n = 100 16b. = 0.08, n = 50 4c. = 6%, n = 800 48d. = 52%, n = 200 104e.= 20%, n = 150
Find and for each.a. X1 = 60, n1 = 100, X2 = 40, n2 = 100 b. X1= 22, n1= 50, X2 = 18, n2 = 30 c. X1 = 18, n1 = 60, X2 = 20, n2 = 80 d. X1 = 5, n1 = 32, X2 = 12, n2 = 48 e. X1 = 12, n1 = 75, X2 = 15, n2 = 50
In a specific year 53.7% of men in the United States were married and 50.3% of women were married. Random samples of 300 men and 300 women found that 178 men and 139 women were married (not necessarily to each other.) At the 0.05 level of significance can it be concluded that the proportion of men
A study is conducted to determine if the percent of women who receive financial aid in undergraduate school is different from the percent of men who receive financial aid in undergraduate school. A random sample of undergraduates revealed these results. At a 0.01, is there significant evidence to
The overall U.S. public high school graduation rate is 73.4%. For Pennsylvania it is 83.5% and for Idaho 80.5%—a difference of 3%. Random samples of 1200 students from each state indicated that 980 graduated in Pennsylvania and 940 graduated in Idaho. At the 0.05 level of significance can it be
In Cleveland, a sample of 73 mail carriers showed that 10 had been bitten by an animal during one week. In Philadelphia, in a sample of 80 mail carriers, 16 had received animal bites. Is there a significant difference in the proportions? Use a 0.05. Find the 95% confidence interval for the
A survey found that 83% of the men questioned preferred computer-assisted instruction to lecture and 75% of the women preferred computer-assisted instruction to lecture. There were 100 individuals in each sample. At α = 0.05, test the claim that there is no difference in the proportion of men and
In a sample of 50 men, 44 said that they had less leisure time today than they had 10 years ago.In a sample of 50 women, 48 women said that they had less leisure time than they had 10 years ago. At α = 0.10 is there a difference in the proportions? Find the 90% confidence interval for the
In a sample of 80 Americans, 44 wished that they were rich. In a sample of 90 Europeans, 41 wished that they were rich. At α=0.01, is there a difference in the proportions? Find the 99% confidence interval for the difference of the two proportions.a. State the hypotheses and identify the claim.b.
In a hospital study, it was found that the standard deviation of the sound level from 20 areas designated as “casualty doors” was 4.1 dBA and the standard deviation of 24 areas designated as operating theaters was 7.5 dBA. At α = 0.05, can you substantiate the claim that there is a difference
The numbers of calories contained in 1/2-cup servings of randomly selected flavors of ice cream from two national brands are listed here. At the 0.05 level of significance, is there sufficient evidence to conclude that the variance in the number of calories differs between the two brands?a. State
A random sample of daily high temperatures in January and February is listed below. At Î± = 0.05 can it be concluded that there is a difference in variances in high temperature between the two months?a. State the hypotheses and identify the claim. b. Find the critical value(s). c.
Cities were randomly selected from the list of the 50 largest cities in the United States (based on population). The areas of each in square miles are indicated below. Is there sufficiente vidence to conclude that the variance in area is greater for eastern cities than for western cities at Î± =
The number of grams of carbohydrates contained in 1-ounce servings of randomly selected chocolate and nonchocolate candy is listed here. Is there sufficient evidence to conclude that there is a difference between the variation in carbohydrate content for chocolate and nonchocolate candy? Use a
The yearly tuition costs in dollars for random samples of medical schools that specialize in research and in primary care are listed. At Î± = 0.05, can it be concluded that a difference between the variances of the two groups exists?a. State the hypotheses and identify the claim.b. Find the
A researcher wishes to see if the variance of the areas in square miles for counties in Indiana is less than the variance of the areas for counties in Iowa. A random sample of counties is selected, and the data are shown. At Î± = 0.01, can it be concluded that the variance of the areas for
Test the claim that the variance of heights of tall buildings in Denver is equal to the variance in heights of tall buildings in Detroit at Î± = 0.10. The data are given in feet.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the
A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salaries of secondary school teachers. A sample of the salaries of 30 elementary school teachers has a variance of $8324, and a sample of the salaries of 30 secondary school
The weights in ounces of a sample of running shoes for men and women are shown. Calculate the variances for each sample, and test the claim that the variances are equal at α = 0.05. Use the P-value method.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the
Two portfolios were randomly assembled from the New York Stock Exchange, and the daily stock prices are shown below. At the 0.05 level of significance, can it be concluded that a difference in variance in price exists between the two portfolios?a. State the hypotheses and identify the claim.b. Find
What are the characteristics of the F distribution?
Using Table H, find the critical value for each.a. Sample 1: s2 / 1 = 128, n1 = 23 Sample 2: s2 / 2 =162, n2 = 16 Two-tailed, α = 0.01b. Sample 1: s2 / 1 = 37, n1= 14 Sample 2: s2 / 2 = 89, n2 = 25 Right-tailed, α = 0.01c. Sample 1: s2 / 1= 232, n1= 30 Sample 2: s2 /
Using Table H, find the P-value interval for each F test value.a. F = 2.97, d.f.N. = 9, d.f.D. = 14, right-tailedb. F = 3.32, d.f.N. = 6, d.f.D . =12, two-tailedc. F = 2.28, d.f.N. = 12, d.f.D. = 20, right-tailedd. F = 3.51, d.f.N. = 12, d.f.D. = 21, right-tailede. F = 4.07, d.f.N. = 6, d.f.D. =
The average age of hospital inpatients has gradually increased to 52.5 years. Studies of two major health care systems found the following information. At the 0.05 level of significance is there sufficient evidence to conclude a difference between the two variances?a. State the hypotheses and
A metropolitan children’s museum open year-round wants to see if the variance in daily attendance differs between the summer and winter months. Random samples of 30 days each were selected and showed that in the winter months, the sample mean daily attendance was 300 with a standard deviation of
Does the variance in average number of pups per pack differ between Montana and Idaho wolf packs? Random samples of packs were selected for each area, and the numbers of pups per pac were recorded. At the 0.05 level of significance, can a difference in variances be concluded?a. State the hypotheses
Two groups of drivers are surveyed to see how many miles per week they drive for pleasure trips. The data are shown. At a 0.01, can it be concluded that single drivers do more driving for pleasure trips on average than married drivers? Assume Ïƒ1= 16.7 and Ïƒ2 = 16.1.a. State the hypotheses
According to the 2005€“2006 National Pet Owners Survey, only 16% of pet dogs were adopted from an animal shelter and 15% of pet cats were adopted. To test this difference in proportions of adopted pets, a survey was taken in a local region. Is there sufficient evidence to conclude that there is
In the hospital study cited previously, the standard deviation of the noise levels of the 11 intensive care units was 4.1 dBA, and the standard deviation of the noise levels of 24 nonmedical care areas, such as kitchens and machine rooms, was 13.2 dBA. At α = 0.10, is there a significan difference
The heights (in feet) for a random sample of world famous cathedrals are listed below. In addition, the heights for a sample of the tallest buildings in the world are listed. Is there sufficient evidence at Î± = 0.05 to conclude that there is a difference in the variances in height between the
Two large home improvement stores advertise that they sell their paint at the same average price per gallon.Arandom sample of 25 cans from storeYhad a standard deviation of $5.21, and store Z had a standard deviation of $4.08 based on a sample of 20 cans. At a 0.05 can we conclude that the
The average yearly earnings of male college graduates (with at least a bachelor€™s degree) are $58,500 for men aged 25 to 34. The average yearly earnings of female college graduates with the same qualifications are $49,339. Based on the results below, can it be concluded that there is a
According to the Bureau of Labor Statistics’American Time Use Survey (ATUS), married persons spend an average of 8 minutes per day on phone calls, mail, and e-mail, while single persons spend an average of 14 minutes per day on these same tasks. Based on the following information, is there
The average temperatures for a 25-day period for Birmingham, Alabama, and Chicago, Illinois, are shown. Based on the samples, at a 0.10, can it be concluded that it is warmer in Birmingham?a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d.
A sample of 15 teachers from Rhode Island has an average salary of $35,270, with a standard deviation of $3256. A sample of 30 teachers from New York has an average salary of $29,512, with a standard deviation of $1432. Is there a significant difference in teachers’ salaries between the two
The data show the amounts (in thousands of dollars) of the contracts for soft drinks in local school districts. At Î± = 0.10 can it be concluded that there is a difference in the averages? Use the P-value method. Give a reason why the result would be of concern to a cafeteria
March is a month of variable weather in the Northeast. The chart below records the actual high and low temperatures for a selection of days in March from the weather report for Pittsburgh, Pennsylvania. At the 0.01 level of significance, is there sufficient evidence to conclude that there is more
In an effort to increase production of an automobile part, the factory manager decides to play music in the manufacturing area. Eight workers are selected, and the number of items each produced for a specific day is recorded After one week of music, the same workers are monitored again. The data
A study found a slightly lower percentage of lay teachers in religious secondary schools than in elementary schools. A random sample of 200 elementary school and 200 secondary school teachers from religious schools in a large diocese found the following. At the 0.05 level of significance is there
The data below indicate the state gas tax in cents per gallon and the fuel use per registered vehicle (in gallons). Is there a significant relationship between these two variables?Perform the following steps. a. Draw the scatter plot for the variables. b. Compute the value of the correlation
The yearly data have been published showing the number of releases for each of the commercial movie studios and the gross receipts for those studios thus far. Based on these data, can it be concluded that there is a relationship between the number of releases and the gross receipts?Perform the
An environmentalist wants to determine the relationships between the numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned. The data for 8 recent years are shown. Describe the relationship.Perform the following steps. a. Draw the scatter plot for
The director of an alumni association for a small college wants to determine whether there is any type of relationship between the amount of an alumnus€™s contribution (in dollars) and the years the alumnus has been out of school. The data follow.Perform the following steps. a. Draw the
An economics student wishes to see if there is a relationship between the amount of state debt per capita and the amount of tax per capita at the state level. Based on the following data, can she or he conclude that per capita state debt and per capita state taxes are related? Both amounts are in
A random sample of states yielded the following numbers of local school districts and the corresponding numbers of secondary schools. Is there a significant relationship between the data?Perform the following steps. a. Draw the scatter plot for the variables. b. Compute the value of the correlation
The data below show the number of three-base hits (triples) and the number of home runs hit during the season by a random sample of MLB teams. Is there a significant relationship between the data?Perform the following steps. a. Draw the scatter plot for the variables. b. Compute the value of the
Recent agricultural data showed the number of eggs produced and the price received per dozen for a given year. Based on the following data for a random selection of states, can it be concluded that a relationship exists between the number of eggs produced and the price per dozen?Perform the
How is a linear relationship between two variables measured in statistics? Explain.
An emergency service wishes to see whether a relationship exists between the outside temperature and the number of emergency calls it receives for a 7-hour period. The data are shown.Perform the following steps. a. Draw the scatter plot for the variables. b. Compute the value of the correlation
The number of faculty and the number of students are shown for a random selection of small colleges. Is there a significant relationship between the two variables? Switch x and y and repeat the process. Which do you think is really the independent variable?Perform the following steps.a. Draw the
For a random selection of U.S. cities, the following data show the number of days for which the precipitation is greater than or equal to 0.01 inch and the number of days for which there is at least 1 inch of snow and/or sleet. Is there a significant linear relationship between the
The average normal daily temperature (in degrees Fahrenheit) and the corresponding average monthly precipitation (in inches) for the month of June are shown here for seven randomly selected cities in the United States. Determine if there is a relationship between the two variables.Perform the
A random sample of scoring leaders from the NHL showed the following numbers of assists and total points. Based on these data, can it be concluded that there is a significant relationship between the two?Perform the following steps. a. Draw the scatter plot for the variables. b. Compute the value
The numbers of fat calories and grams of saturated fat in a number of fast-food non-breakfast entrees are shown below. Is there sufficient evidence to conclude a significant relationship between the two variables?Perform the following steps. a. Draw the scatter plot for the variables. b. Compute
An architect wants to determine the relationship between the heights (in feet) of a building and the number of stories in the building. The data for a sample of 10 buildings in Pittsburgh are shown. Explain the relationship.Perform the following steps. a. Draw the scatter plot for the variables. b.
A hospital administrator wants to see if there is a relationship between the number of licensed beds and the number of staffed beds in local hospitals. The data for a specific day are shown. Describe the relationship.Perform the following steps. a. Draw the scatter plot for the variables. b.
One of the formulas for computing r isUsing the data in Exercise 27, compute r with this formula. Compare the results.
Compute r for the data set shown. Explain the reason for this value of r. Now, interchange the values of x and y and compute r again. Compare this value with the previous one. Explain the results of the comparison.
Compute r for the following data and test the hypothesis H0: p = 0. Draw the scatter plot; then explain the results.
The yearly data have been published showing the number of releases for each of the commercial movie studios and the gross receipts for those studios thus far. Based on these data, can it be concluded that there is a relationship between the number of releases and the gross receipts?New movie
An environmentalist wants to determine the relationships between the numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned. The data for 8 recent years are shown. Describe the relationship.Number of fires and number of acres burned are as
The director of an alumni association for a small college wants to determine whether there is any type of relationship between the amount of an alumnus€™s contribution (in dollars) and the years the alumnus has been out of school. The data follow.Years and contribution data are as
Recent agricultural data showed the number of eggs produced and the price received per dozen for a given year. Based on the following data for a random selection of states, can it be concluded that a relationship exists between the number of eggs produced and the price per dozen?Number of eggs and
What are the assumptions for regression analysis?
An emergency service wishes to see whether a relationship exists between the outside temperature and the number of emergency calls it receives for a 7-hour period. The data are shown.Temperature in degrees Fahrenheit and number of emergency calls are shown.Find y€™ when x = 80ºF.
The number of faculty and the number of students are shown for a random selection of small colleges. Is there a significant relationship between the two variables? Switch x and y and repeat the process. Which do you think is really the independent variable?The number of faculty and the number of
For a random selection of U.S. cities, the following data show the number of days for which the precipitation is greater than or equal to 0.01 inch and the number of days for which there is at least 1 inch of snow and/or sleet. Is there a significant linear relationship between the variables?The
The average normal daily temperature (in degrees Fahrenheit) and the corresponding average monthly precipitation (in inches) for the month of June are shown here for seven randomly selected cities in the United States. Determine if there is a relationship between the two variables.Temperatures (in
A random sample of scoring leaders from the NHL showed the following numbers of assists and total points. Based on these data, can it be concluded that there is a significant relationship between the two?The number of assists and the total number of points for a sample of NHL scoring leaders are
The numbers of fat calories and grams of saturated fat in a number of fast-food non-breakfast entrees are shown below. Is there sufficient evidence to conclude a significant relationship between the two variables?The number of fat calories and the number of saturated fat grams for a random
An architect wants to determine the relationship between the heights (in feet) of a building and the number of stories in the building. The data for a sample of 10 buildings in Pittsburgh are shown. Explain the relationship.Stories and heights of buildings data follow:Find y€™ when x = 44.
A hospital administrator wants to see if there is a relationship between the number of licensed beds and the number of staffed beds in local hospitals. The data for a specific day are shown. Describe the relationship.Licensed beds and staffed beds data follow:Find y€™ when x = 44.
These data were obtained for the years 1993 through 1998 and indicate the number of fireworks (in millions) used and the related injuries. Predict the number of injuries if 100 million fireworks are used during a given year.Do a complete regression analysis by performing these steps. a. Draw a
Is there a relationship between the number of farms in a state and the acreage per farm? A random selection of states across the country, both eastern and western, produced the following results. Can a relationship between these two variables be concluded?Do a complete regression analysis by
Educational researchers desired to find out if a relationship exists between the average SAT verbal score and the average SAT mathematical score. Several states were randomly selected, and their SAT average scores are recorded below. Is there sufficient evidence to conclude a relationship between
These data were obtained from a sample of counties in southwestern Pennsylvania and indicate the number (in thousands) of tons of bituminous coal produced in each county and the number of employees working in coal production in each county. Predict the amount of coal produced for a county that has
A television executive selects 10 television shows and compares the average number of viewers the show had last year with the average number of viewers this year. The data (in millions) are shown. Describe the relationship.Do a complete regression analysis by performing these steps. a. Draw a
An educator wants to see how the number of absences for a student in her class affects the student€™s final grade. The data obtained from a sample are shown.Do a complete regression analysis by performing these steps. a. Draw a scatter plot. b. Compute the correlation coefficient. c.
A physician wishes to know whether there is a relationship between a father€™s weight (in pounds) and his newborn son€™s weight (in pounds). The data are given here.Do a complete regression analysis and test the significance of r at Î± = 0.05, using the P-value
Is a person€™s age related to his or her net worth? A sample of 10 billionaires is selected, and the person€™s age and net worth are compared. The data are given here.Do a complete regression analysis and test the significance of r at Î± = 0.05, using the P-value
For Exercises 13, 15, and 21 in Section 10€“1, find the mean of the x and y variables. Then substitute the mean of the x variable into the corresponding regression line equations found in Exercises 13, 15, and 21 in this section and find y€™. Compare the value of y€™ with for each
The y intercept value Î± can also be found by using the equationÎ± = - bVerify this result by using the data in Exercises 15 and 16 of Sections 10€“1 and 10€“2.Exercise 15:The director of an alumni association for a small college wants to determine whether there is any type of
The value of the correlation coefficient can also be found by using the formula r = bsx / syWhere sx is the standard deviation of the x values and sy is the standard deviation of the y values. Verify this result for Exercises 18 and 20 of Section 10€“1.Exercise 18:The data below show the number
r = 0.35 Find the coefficients of determination and non-determination and explain the meaning of each.
r = 0.42 Find the coefficients of determination and non-determination and explain the meaning of each.
r = 0.18 Find the coefficients of determination and non-determination and explain the meaning of each.
r = 0.91 Find the coefficients of determination and non-determination and explain the meaning of each.
Compute the standard error of the estimate for Exercise 13 in Section 10€“1. The regression line equation was found in Exercise 13 in Section 10€“2.The yearly data have been published showing the number of releases for each of the commercial movie studios and the gross receipts
Compute the standard error of the estimate for Exercise 14 in Section 10€“1. The regression line equation was found in Exercise 14 in Section 10€“2.An environmentalist wants to determine the relationships between the numbers (in thousands) of forest fires over the year and the

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