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mathematics
elementary statistics picturing
Questions and Answers of
Elementary Statistics Picturing
Refer to Exercise 21. Two more samples are taken, one from Casper and one from Cheyenne. For 50 homes in Casper, x̅1 = $231,581. For 50 homes in Cheyenne, x̅2 = $315,706. Use a = 0.01. Do the new
A real estate agency says that the mean home sales price in Casper, Wyoming, is the same as in Cheyenne, Wyoming. The mean home sales price for 25 homes in Casper is $294,220. Assume the population
The mean ACT English score for 120 high school students is 20.1. Assume the population standard deviation is 6.8. The mean ACT reading score for 150 high school students is 21.3. Assume the
The mean ACT mathematics score for 60 high school students is 20.6. Assume the population standard deviation is 5.4. The mean ACT science score for 75 high school students is 20.8. Assume the
You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 24 Model A washing
To compare customer satisfaction with holiday gift purchases of digital gear from online and walk-in retailers, a researcher randomly selects 30 customer ratings of online retailers and 31 customer
To compare the dry braking distances from 60 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 23 models of Make A and 24 models of Make B. The mean
Test the claim about the difference between two population means μ1 and μ2 at the level of significance a. Assume the samples are random and independent, and the populations are normally
Test the claim about the difference between two population means μ1 and μ2 at the level of significance a. Assume the samples are random and independent, and the populations are normally
Test the claim about the difference between two population means μ1 and μ2 at the level of significance a. Assume the samples are random and independent, and the populations are normally
Test the claim about the difference between two population means μ1 and μ2 at the level of significance a. Assume the samples are random and independent, and the populations are normally
Use the TI-84 Plus display to make a decision to reject or fail to reject the null hypothesis at the level of significance. Make your decision using the standardized test statistic and using the
Use the TI-84 Plus display to make a decision to reject or fail to reject the null hypothesis at the level of significance. Make your decision using the standardized test statistic and using the
Sample 1: The commute times of 10 workers when they use their own vehiclesSample 2: The commute times of the same 10 workers when they use public transportationClassify the two samples as independent
Sample 1: The average speed of 23 powerboats using an old hull designSample 2: The average speed of 14 powerboats using a new hull designClassify the two samples as independent or dependent and
Sample 1: The IQ scores of 60 femalesSample 2: The IQ scores of 60 malesClassify the two samples as independent or dependent and justify your answer.
Sample 1: The maximum bench press weights for 53 football playersSample 2: The maximum bench press weights for the same 53 football players after completing a weight lifting programClassify the two
Describe another way you can perform a hypothesis test for the difference between the means of two populations using independent samples with σ1 and σ2 known that does not use rejection regions.
A researcher claims that the mean age of the residents of a small town is more than 38 years. The ages (in years) of a random sample of 30 residents are listed below. At α = 0.10, is there enough
A nonprofit consumer organization says that the mean price of the vehicles the organization rated in a recent year is at least $41,000. In a random sample of 150 vehicles the organization rated in a
Use the P-value method to perform the hypothesis test for the indicated exercise.Exercise 26Data from Exercise 26;A school administrator claims that the standard deviation for grade 12 students on a
Use the P-value method to perform the hypothesis test for the indicated exercise.Exercise 25Data from Exercise 25:A school administrator claims that the standard deviation for grade 12 students on a
The annual salaries (in dollars) of 12 randomly chosen nursing supervisors are shown in the table at the left. At a = 0.10, is there enough evidence to reject the claim that the standard deviation of
The annual salaries (in dollars) of 15 randomly chosen senior level graphic design specialists are shown in the table at the left. At α = 0.05, is there enough evidence to support the claim that the
A travel analyst claims that the standard deviation of the room rates for two adults at three-star hotels in Denver is at least $68. A random sample of 18 three-star hotels has a standard deviation
A school administrator claims that the standard deviation for grade 12 students on a vocabulary assessment test is greater than 45 points. A random sample of 25 grade 12 test scores has a standard
A school administrator claims that the standard deviation for grade 12 students on a mathematics assessment test is less than 35 points. A random sample of 28 grade 12 test scores has a standard
An auto manufacturer claims that the variance of the gas mileages in a model of hybrid vehicle is 0.16. A random sample of 30 vehicles has a variance of 0.26. At a = 0.05, is there enough evidence to
Test the claim about the population variance s2 or standard deviation s at the level of significance a. Assume the population is normally distributed.Claim: σ2 < 40; α = 0.01. Sample
Test the claim about the population variance s2 or standard deviation s at the level of significance a. Assume the population is normally distributed.Claim: σ2 = 63; α = 0.01. Sample
Test the claim about the population variance s2 or standard deviation s at the level of significance a. Assume the population is normally distributed.Claim: σ2 ≠ 32.8; α = 0.1. Sample statistics:
Test the claim about the population variance s2 or standard deviation s at the level of significance a. Assume the population is normally distributed.Claim: σ2 > 19; α = 0.1. Sample statistics:
Test the claim about the population variance s2 or standard deviation s at the level of significance a. Assume the population is normally distributed.Claim: σ2 ≤ 17.6; α = 0.01. Sample
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α.Two-tailed test,n = 31, α = 0.05
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α.Right-tailed test,n = 30, α = 0.01
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α.Two-tailed test,n = 61, α = 0.01
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α.Two-tailed test,n = 81, α = 0.10
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α.Left-tailed test,n = 24, α = 0.05
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α.Left-tailed test,n = 7, α = 0.01
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α.Right-tailed test,n = 10, α = 0.10
Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance α.Right-tailed test,n = 27, α = 0.05
Can a critical value for the chi-square test be negative? Explain.
Rework Exercise 7 using the alternative formula and verify that the results are the same.Data from Exercise 7:A medical researcher says that less than 80% of U.S. adults think that healthy children
You interview a random sample of 100 adults. The results of the survey show that 59% of the adults said they live in ways that help protect the environment some of the time. At α = 0.05, can you
A humane society claims that 5% of U.S. households have taken in a stray dog. In a random sample of 200 U.S. households, 12 say they have taken in a stray dog. At α = 0.05, is there enough evidence
A humane society claims that less than 67% of U.S. households own a pet. In a random sample of 600 U.S. households, 390 say they own a pet. At α = 0.10, is there enough evidence to support the
A research center claims that at most 18% of U.S. adults’ online food purchases are for snacks. In a random sample of 1995 U.S. adults, 20% say their online food purchases are for snacks. At α =
A research center claims that 27% of U.S. adults would travel into space on a commercial flight if they could afford it. In a random sample of 1000 U.S. adults, 30% say that they would travel into
A research center claims that more than 29% of U.S. employees have changed jobs in the past three years. In a random sample of 180 U.S. employees, 63 have changed jobs in the past three years. At α
An education researcher claims that 57% of college students work year-round. In a random sample of 300 college students, 171 say they work year-round. At α = 0.10, is there enough evidence to
A researcher claims that 85% percent of Americans think they are unlikely to contract the Zika virus. In a random sample of 250 Americans, 225 think they are unlikely to contract the Zika virus. At
An education researcher claims that at most 3% of working college students are employed as teachers or teaching assistants. In a random sample of 200 working college students, 4% are employed as
A research center claims that at least 27% of U.S. adults think that the IRS will audit their taxes. In a random sample of 1000 U.S. adults in a recent year, 23% say they are concerned that the IRS
A medical researcher says that less than 80% of U.S. adults think that healthy children should be required to be vaccinated. In a random sample of 200 U.S. adults, 82% think that healthy children
Determine whether a normal sampling distribution can be used. If it can be used, test the claim.Claim: p > 0.70; α = 0.04. Sample statistics: p̂ = 0.64, n = 225
Determine whether a normal sampling distribution can be used. If it can be used, test the claim.Claim: p ≠ 0.15; α = 0.05. Sample statistics: p̂ = 0.12, n = 500
Determine whether a normal sampling distribution can be used. If it can be used, test the claim.Claim: p ≥ 0.48; α = 0.08. Sample statistics: p̂ = 0.40, n = 90
Determine whether a normal sampling distribution can be used. If it can be used, test the claim.Claim: p < 0.12; α = 0.01. Sample statistics: p̂ = 0.10, n = 40
Explain how to test a population proportion p.
Explain how to determine whether a normal distribution can be used to approximate a binomial distribution.
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.5 minutes. A random sample of 34 dive durations has a mean of 12.2 minutes and a standard deviation of 2.2
A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.7 seconds. A random sample of 22 sedans has a mean minimum time to travel a quarter
An employment information service claims the mean annual salary for home care physical therapists is more than $80,000. The annual salaries (in dollars) for a random sample of 12 home care physical
An employment information service claims the mean annual salary for senior level product engineers is $98,000. The annual salaries (in dollars) for a random sample of 16 senior level product
As part of your work for an environmental awareness group, you want to test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. You find that
As part of your work for an environmental awareness group, you want to test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.34 parts per million. You find
A credit reporting agency claims that the mean credit card debt by state is greater than $5500 per person. You want to test this claim. You find that a random sample of 30 states has a mean credit
A state Department of Transportation claims that the mean wait time for various services at its different locations is at most 6 minutes. A random sample of 34 services at different locations has a
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.Claim: μ ≠ 52,200; α = 0.05. Sample statistics: x̅ = 53,220, s = 2700,
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.Claim: μ < 4915; α = 0.02. Sample statistics: x̅ = 5017, s = 5613, n =
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.Claim: μ ≤ 1600; α = 0.02. Sample statistics: x̅ = 1550, s = 165, n = 46
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.Claim: μ ≥ 8000; α = 0.01. Sample statistics: x̅ = 7700, s = 450, n = 25
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.Claim: μ = 25; α = 0.05. Sample statistics: x̅ = 26.2, s = 2.32, n = 17
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.Claim: μ = 15; α = 0.01. Sample statistics: x̅ = 13.9, s = 3.23, n = 36
State whether each standardized test statistic t allows you to reject the null hypothesis. Explain.(a) t = -1.1(b) t = 1.01c) t = 1.7 -4 -3 -2-1 0 -0 =-1.071 1 2 3 4 6 = 1.071
State whether each standardized test statistic t allows you to reject the null hypothesis. Explain.(a) t = 1.4(b) t = 1.42(c) t = -1.402 3 4 o = 1.402 2 3 -4 -3 -2 -1 1.
Find the critical value(s) and rejection region(s) for the type of t-test with level of significance a and sample size n.Two-tailed test, α = 0.10, n = 38
Find the critical value(s) and rejection region(s) for the type of t-test with level of significance a and sample size n.Two-tailed test, α = 0.05, n = 27
Find the critical value(s) and rejection region(s) for the type of t-test with level of significance a and sample size n.Right-tailed test, α = 0.01, n = 31
Find the critical value(s) and rejection region(s) for the type of t-test with level of significance a and sample size n.Right-tailed test, α = 0.05, n = 23
Find the critical value(s) and rejection region(s) for the type of t-test with level of significance a and sample size n.Left-tailed test, α = 0.01, n = 35
Find the critical value(s) and rejection region(s) for the type of t-test with level of significance a and sample size n.Left-tailed test, α = 0.10, n = 20
In a right-tailed test where P < α, does the standardized test statistic lie to the left or the right of the critical value? Explain your reasoning.
When P > α, does the standardized test statistic lie inside or outside of the rejection region(s)? Explain your reasoning.
A scientist estimates that the mean carbon dioxide emissions per country in a recent year are greater than 150 megatons. You want to test this estimate. To do so, you determine the carbon dioxide
An education researcher claims that the mean high school graduation rate per state in the United States is 80%. You want to test this claim. You find that a random sample of 30 states has a mean high
A consumer research organization states that the mean caffeine content per 12-ounce bottle of a population of caffeinated soft drinks is 37.7 milligrams. You want to test this claim. During your
An analyst claims that the mean annual salary for intermediate level architects in Wichita, Kansas, is more than the national mean, $52,000. The annual salaries (in dollars) for a random sample of 21
The heights (in feet) of 36 randomly selected top-rated roller coasters are listed. Assume the population standard deviation is 71.6 feet. At α = 0.05, is there enough evidence to reject the claim
A consumer group claims that the mean acceleration time from 0 to 60 miles per hour for a sedan is 6.3 seconds. A random sample of 33 sedans has a mean acceleration time from 0 to 60 miles per hour
When estimating the population mean, why not construct a 99% confidence interval every time?
A tennis ball manufacturer wants to estimate the mean circumference of tennis balls within 0.05 inch. Assume the population of circumferences is normally distributed. (a) Determine the minimum
A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.15 inch.(a) Determine the minimum sample size required to construct a 99% confidence interval for the
A beverage company uses a machine to fill half-gallon bottles with fruit juice (see figure). The company wants to estimate the mean volume of water the machine is putting in the bottles within 0.25
A paint manufacturer uses a machine to fill gallon cans with paint (see figure). The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0.5 ounce.
An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.5 years of the population mean. Assume the population of ages is normally
A cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. The estimate must be within 0.75 milligram of the population mean.(a)
Determine the minimum sample size required when you want to be 99% confident that the sample mean is within two units of the population mean and σ = 1.4. Assume the population is normally
Determine the minimum sample size required when you want to be 95% confident that the sample mean is within one unit of the population mean and σ = 4.8. Assume the population is normally distributed.
The sodium chloride concentrations (in grams per liter) for 36 randomly selected seawater samples are listed. Assume that σ is 7.61 grams per liter.Use the information to construct 90% and 99%
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