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mathematics
elementary statistics picturing

Questions and Answers of Elementary Statistics Picturing

Use the values on the number line to find the sampling error. X = 26.43 µ = 24.67 + 26 25 27 24
Use the values on the number line to find the sampling error. µ = 8.76 + 8.6 8.8 90 9.2 9.4 9.6 9.8 X = 9.5 х
Use the values on the number line to find the sampling error. X = 3.8 u = 4.27 х + 3.4 3.6 3.8 4.0 4.2 4.4 4.6
Find the critical value zc necessary to construct a confidence interval at the level of confidence c.c = 0.97
Find the critical value zc necessary to construct a confidence interval at the level of confidence c.c = 0.75
Find the critical value zc necessary to construct a confidence interval at the level of confidence c.c = 0.85
Find the critical value zc necessary to construct a confidence interval at the level of confidence c.c = 0.80
Sixty-five percent of U.S. college graduates are employed in their field of study. You randomly select 20 U.S. college graduates and ask them whether they are employed in their field of study. Find
A survey of U.S. adults found that 32% have an online account with their healthcare provider. You randomly select 70 U.S. adults and ask them whether they have an online account with their healthcare
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P(54 < x < 64)
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P(x < 60)
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P(x > 14)
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P(x = 45)
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P(x ≤ 36)
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P(x ≥ 25)
A survey of U.S. likely voters found that 11% think Congress is doing a good or excellent job. You randomly select 45 U.S. likely voters and ask them whether they think Congress is doing a good or
A survey of U.S. adults found that 75% support labeling legislation for genetically modified organisms (GMOs). You randomly select 20 U.S. adults and ask them whether they support labeling
The mean annual salary for magnetic resonance imaging (MRI) technologists is about $72,000. A random sample of 50 MRI technologists is selected. What is the probability that the mean annual salary of
The mean annual salary for intermediate level life insurance underwriters is about $61,000. A random sample of 45 intermediate level life insurance underwriters is selected. What is the probability
The mean MCAT total score in a recent year is 500. A random sample of 32 MCAT total scores is selected. What is the probability that the mean score for the sample is (a) Less than 503, (b)
The mean ACT composite score in a recent year is 20.8. A random sample of 36 ACT composite scores is selected. What is the probability that the mean score for the sample is (a) Less than
Refer to Exercise 34. A random sample of six days is selected. Find the probability that the mean surface concentration of carbonyl sulfide for the sample is (a) Between 5.1 and 15.7 picomoles
Refer to Exercise 33. A random sample of 2 years is selected. Find the probability that the mean amount of black carbon emissions for the sample is (a) Less than 12.3 gigagrams per
The test scores for the Law School Admission Test (LSAT) in a recent year are normally distributed, with a mean of 155.69 and a standard deviation of 5.05. Random samples of size 40 are drawn from
The per capita electric power consumption level in a recent year in Ecuador is normally distributed, with a mean of 471.5 kilowatt-hours and a standard deviation of 187.9 kilowatt-hours. Random
What is the longest braking distance of a sedan that can be in the bottom 20% of braking distances?On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a
What is the shortest braking distance of a sedan that can be in the top 15% of braking distances?On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a
What braking distance of a sedan represents the first quartile?On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a normal
What braking distance of a sedan represents the 90th percentile?On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a
Find the braking distance of a sedan that corresponds to z = 1.6.On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a
Find the braking distance of a sedan that corresponds to z = -2.75.On a dry surface, the braking distances (in feet), from 60 miles per hour to a complete stop, of a sedan can be approximated by a
Find the positive z-score for which 94% of the distribution’s area lies between -z and z.
Find the z-score that has 30.5% of the distribution’s area to its right.
Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile.P46
Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile.P85
Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile.P2
Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile.0.993
Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile.0.1
Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile.0.4721
Determine whether any of the events in Exercise 34 are unusual. Explain your reasoning.
Determine whether any of the events in Exercise 33 are unusual. Explain your reasoning.
The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean of 9.1 picomoles per liter and a standard deviation of 3.5 picomoles per liter. Find the
Yearly amounts of black carbon emissions from cars in India are normally distributed, with a mean of 14.7 gigagrams per year and a standard deviation of 11.5 gigagrams per year. Find the probability
Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.P(-2015 < z < 1.55)
Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.P(z > -0.74)
Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.P(z < 0 or z > 1.68)
Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.P(z < -2.50 or z > 2.50)
Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.P(0.42 < z < 3.15)
Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.P(z < 1.28)
Find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the left of z = 0.64 and to the right of z = 3.415
Find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the left of z = -1.5 and to the right of z = 1.5
Find the indicated area under the standard normal curve. If convenient, use technology to find the area.Between z = -2.68 and z = 2.68
Find the indicated area under the standard normal curve. If convenient, use technology to find the area.Between z = 0.05 and z = 1.71
Find the indicated area under the standard normal curve. If convenient, use technology to find the area.Between z = -1.55 and z = 1.04
Find the indicated area under the standard normal curve. If convenient, use technology to find the area.Between z = -1.64 and z = 0
Find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the right of z = 0.015
Find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the left of z = -2.825
Find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the right of z = 3.22
Find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the right of z = -0.57
Find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the left of z = -1.95
Find the indicated area under the standard normal curve. If convenient, use technology to find the area.To the left of z = 0.33
Find the area of the indicated region under the standard normal curve. If convenient, use technology to find the area. -2.35 -0.8 0
Find the area of the indicated region under the standard normal curve. If convenient, use technology to find the area. 0.46
Which normal curve has the greatest standard deviation? Explain your reasoning.Use the normal curves shown at the left.
Which normal curve has the greatest mean? Explain your reasoning.Use the normal curves shown at the left.
Use the normal curve to estimate the mean and standard deviation. 40 45 50 55 60 65 70 75
Use the normal curve to estimate the mean and standard deviation. 25 10 15 20
A survey of U.S. adults found that 8% believe the biggest problem in schools today is poor teaching. You randomly select a sample of U.S. adults. Find the probability that more than 100 U.S. adults
About 3.3% of hourly paid U.S. workers earn the prevailing minimum wage or less. A grocery chain offers discount rates to companies that have at least 30 employees who earn the prevailing minimum
Fourteen percent of U.S. college graduates want to work for a large company. You randomly select 1500 U.S. college graduates and ask them whether they want to work for a large company. Find the
Fifty-one percent of U.S. college graduates consider themselves underemployed. You randomly select 250 U.S. college graduates and ask them whether they consider themselves underemployed. Find the
A survey of U.S. adults ages 21 and older who are regular drinkers found that 38% name beer as their favorite beverage. You randomly select 25 U.S. adults ages 21 and older who are regular drinkers
A survey of U.S. adults found that 33% name professional football as their favorite sport. You randomly select 14 U.S. adults and ask them to name their favorite sport. Find the probability that the
A survey of U.S. adults found that 39% of those who have online accounts use the same or very similar passwords for many of their accounts. You randomly select 500 U.S. adults who have online
A survey of U.S. adults found that 28% of those who own smartphones do not use a screen lock or other security features to access their phone. You randomly select 150 U.S. adults who own smartphones.
A survey of U.S. adults found that 28% of those who own smartphones do not use a screen lock or other security features to access their phone. You randomly select 150 U.S. adults who own smartphones.
A survey of U.S. adults found that 41% have encountered fraudulent charges on their credit cards. You randomly select 100 U.S. adults. Find the probability that the number who have encountered
Sixty-five percent of parents of teenagers have taken their teenager’s cell phone or Internet privileges away as a punishment. You randomly select 10 parents of teenagers and ask them whether they
In a recent year, alcohol-impaired driving was the cause of 31% of motor vehicle fatalities. You randomly select 30 motor vehicle fatalities and determine whether alcohol-impaired driving was the
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P(55 < x < 60)
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P(x ≤ 150)
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P(x > 65)
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P(x = 33)
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P(x ≥ 110)
Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.P(x < 25)
Match the binomial probability statement with its corresponding normal distribution probability statement (a)–(d) after a continuity correction.(a) P(x > 109.5)(b) P(x < 108.5)(c) P(x <
Match the binomial probability statement with its corresponding normal distribution probability statement (a)–(d) after a continuity correction.(a) P(x > 109.5)(b) P(x < 108.5)(c) P(x <
Match the binomial probability statement with its corresponding normal distribution probability statement (a)–(d) after a continuity correction.(a) P(x > 109.5)(b) P(x < 108.5)(c) P(x <
Match the binomial probability statement with its corresponding normal distribution probability statement (a)–(d) after a continuity correction.(a) P(x > 109.5)(b) P(x < 108.5)(c) P(x <
In a sample of 100 eruptions of the Old Faithful geyser at Yellowstone National Park, the mean interval between eruptions was 101.56 minutes and the standard deviation was 42.69 minutes. A random
In a sample of 1000 fines issued by the city of Toronto for parking infractions, the mean fine was $47.12 and the standard deviation was $48.24. A random sample of size 55 is selected from this
Assume that the carbon dioxide emissions in Exercise 32 are normally distributed. Are you more likely to randomly select 1 country with carbon dioxide emissions less than 30 metric tons or to
Assume that the childhood asthma prevalences in Exercise 31 are normally distributed. Are you more likely to randomly select 1 city with childhood asthma prevalence less than 3.2% or to randomly
The mean per capita carbon dioxide emissions in 58 industrialized countries over a 22-year period is 25.5 metric tons. A random sample of 44 countries is selected. What is the probability that the
The mean percent of childhood asthma prevalence of 43 Chinese cities is 2.25%. A random sample of 30 Chinese cities is selected. What is the probability that the mean childhood asthma prevalence for
From 1871 through 2016, the mean return of the Standard & Poor’s 500 was 10.72%. A random sample of 38 years is selected from this population. What is the probability that the mean return for
From 1975 through 2016, the mean gain of the Dow Jones Industrial Average was 456. A random sample of 32 years is selected from this population. What is the probability that the mean gain for the
The scores for females on the critical reading portion of the SAT in 2016 are normally distributed, with a mean of 493 and a standard deviation of 114. Random samples of size 36 are drawn from this
Repeat Exercise 20 for samples of size 72 and 108. What happens to the mean and the standard deviation of the distribution of sample means as the sample size increases?Data from exercise 20:The
Repeat Exercise 19 for samples of size 40 and 60. What happens to the mean and the standard deviation of the distribution of sample means as the sample size increases?Data from exercise 19:The scores

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