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statistics
elementary statistics in social research
Elementary Statistics Picturing The World 7th Global Edition Betsy Farber, Ron Larson - Solutions
In a survey of 8-to 18-year-old heavy media users in the United States, 47% said they get fair or poor grades (C and below). You randomly select forty-five 8- to 18-year-old heavy media users in the United States and ask them whether they get fair or poor grades. What is the probability that fewer
A study on aggressive driving found that 47% of drivers say they have yelled at another driver. You randomly select 200 drivers in the United States and ask them whether they have yelled at another driver. What is the probability that at least 100 drivers will say yes, they have yelled at another
A study of National Football League (NFL) retirees, ages 50 and older, found that 62.4% have arthritis. You randomly select 75 NFL retirees who are at least 50 years old and ask them whether they have arthritis. What is the probability that exactly 48 will say yes?
A survey of cross-border money transfers found that in 38% cases, the beneficiary account has suffered double charging, in contradiction to European Union rules. You randomly select 200 crossborder money transfers. Find the probability that the number who have encountered double charging at the
A survey of German adults found that 73% of customers who shop online pay through PayPal. You randomly select 150 German adults who shop online. Find the probability that the number who pay through PayPal is(a) at least 100,(b) fewer than 100, and(c) more than 120.Determine whether you can use a
To the left of z = 0.35 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the right of z = –0.46 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the left of z = –1.625 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the right of z = 2.62 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the left of z = –0.11 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
Between z = –1.96 and z = 0 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 = 0.15 and z = 1.64 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the left of z = –1.62 and to the right of z = 1.62 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
P(z < 1.36)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
P(–1.12 < z < 1.75)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
P(z < –1.50 or z > 1.50)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
P(x < 82)The random variable x is normally distributed with mean μ = 74 and standard deviation σ = 8. Find the indicated probability.
P(x > 68.4)The random variable x is normally distributed with mean μ = 74 and standard deviation σ = 8.Find the indicated probability.
P(x > 70)The random variable x is normally distributed with mean μ = 74 and standard deviation σ = 8. Find the indicated probability.
P(x < 57)The random variable x is normally distributed with mean μ = 74 and standard deviation σ = 8. Find the indicated probability.
P(58 < x < 66)The random variable x is normally distributed with mean μ = 74 and standard deviation σ = 8.Find the indicated probability.
0.1 Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. Table 4-Standard Normal Distribution Arca 0 z Z .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 -3.4 .0002 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 -3.3 .0003 .0004 .0004
0.993 Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. Table 4-Standard Normal Distribution Arca z 0 z Z .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 -3.4 .0002 .0003 .0003 .0003 .0003 .0003 .0003 .0003 -3.3 .0003 .0004 .0004 .0004
P2 Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. Table 4-Standard Normal Distribution Arca 0 z Z .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 -3.4 .0002 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 -3.3 .0003 .0004 .0004
P67 Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. Table 4-Standard Normal Distribution Arca 0 z Z .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 -3.4 .0002 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 -3.3 .0003 .0004 .0004
P46 Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative area or percentile. Table 4-Standard Normal Distribution Arca 0 z Z .09 .08 .07 .06 .05 .04 .03 .02 .01 .00 -3.4 .0002 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 -3.3 .0003 .0004 .0004
P(x ≥ 28)Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.
P(x > 18)Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.
P(x ≤ 32)Write the binomial probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.
P(x < 50)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.
Determine whether the random variable x is discrete or continuous. Explain your reasoning.(a) Let x represent the number of lightning strikes that occur in Wyoming during the month of June.(b) Let x represent the amount of fuel (in gallons) used by a jet during takeoff.(c) Let x represent the total
The table lists the number of wireless devices per household in a small town in the United States.(a) Construct a probability distribution.(b) Graph the probability distribution using a histogram and describe its shape.(c) Find the mean, variance, and standard deviation of the probability
Thirty-six percent of U.S. adults have postponed medical checkups or procedures to save money. You randomly select nine U.S. adults. Find the probability that the number of U.S. adults who have postponed medical checkups or procedures to save money is(a) exactly three,(b) at most four,(c) more than
The five-year success rate of kidney transplant surgery from living donors is 86%. The surgery is performed on six patients.(a) Construct a binomial distribution.(b) Graph the binomial distribution using a histogram and describe its shape.(c) Find the mean, variance, and standard deviation of the
An online magazine finds that the mean number of typographical errors per page is five. Find the probability that the number of typographical errors found on any given page is (a) exactly five, (b) less than five, and (c) exactly zero.
Basketball player Dwight Howard makes a free throw shot about 56% of the time. Find the probability that(a) the first free throw shot he makes is the fourth shot,(b) the first free throw shot he makes is the second or third shot, and(c) he does not make his first three shots.
Which event(s) in Exercise 6 can be considered unusual? Explain your reasoning.Data from Exercises 6Basketball player Dwight Howard makes a free throw shot about 56% of the time. Find the probability that(a) the first free throw shot he makes is the fourth shot,(b) the first free throw shot he
1. Which normal curve has a greater mean?2. Which normal curve has a greater standard deviation?
The scaled test scores for the New York State Grade 4 Common Core Mathematics Test are normally distributed. The normal curve shown below represents this distribution. What is the mean test score? Estimate the standard deviation of this normal distribution. Mathematics Test x 180 230 280 330 380
1. Find the cumulative area that corresponds to a z-score of 1.15.2. Find the cumulative area that corresponds to a z-score of –0.24.
Find the area under the standard normal curve to the left of z = –0.99.
Find the area under the standard normal curve to the right of z = 1.06.
Find the area under the standard normal curve between z = –1.5 and z = 1.25.
To the left of z = 0.26 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the left of z = –2.87 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the left of z = –1.865 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the left of z = 1.185 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the right of z = –0.99Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the right of z = 2.65Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the right of z = –0.955 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the right of z = 1.175Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
Between z = –2.48 and z = 0 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
Between z = –2.25 and z = 2.25 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
Between z = –1.96 and z = 1.96 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the left of z = –0.15 and to the right of z = 0.15 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
To the left of z = –2.56 and to the right of z = 1.25 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
You work for a consumer watchdog publication and are testing the advertising claims of a flash drive. The manufacturer claims that the life spans of the flash drives are normally distributed, with a mean of 80,000 runs and a standard deviation of 5000 runs. You test 14 flash drives and record the
You are performing a study about monthly per capita cocoa consumption in a city. A previous study found monthly per capita cocoa consumption to be normally distributed, with a mean of 21 grams and a standard deviation of 4.5 grams. You randomly sample 30 people and record the monthly cocoa
The test scores for the girls who received their Australian Tertiary Admission Rank (ATAR) are normally distributed. In a recent year, the mean test score for the girls was 66.25 and the standard deviation was 2.50. The test scores of four girls selected at random are 66.50, 69.75, 72.50, and
The test scores for the boys who received their Australian Tertiary Admission Rank (ATAR) are normally distributed. In a recent year, the mean test score for the boys was 63.75 and the standard deviation was 1.75. The test scores of four boys selected at random are 67.50, 66.50, 61.25, and
P(z < 2.32)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
P(z < –0.26)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
P(z > 3.285)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
P(z > –2.55)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
P(–1.35 z < 0)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
P(0 < z < 2.315)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
P(-2.46 < z < 3.1)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
P(–0.18 < z < 2.46)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
P(z < -3.1 or z > 3.1)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
P(z < –2.46 or z > 2.46)Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability.
A national study found that college students with jobs worked an average of 22 hours per week. The standard deviation is 9 hours. A college student with a job is selected at random. Find the probability that the student works for less than 4 hours per week. Assume that the lengths of time college
A survey indicates that for each trip to a supermarket, a shopper spends an average of 43 minutes with a standard deviation of 12 minutes in the store. The lengths of time spent in the store are normally distributed and are represented by the variable x. A shopper enters the store.(a) Find the
Triglycerides are a type of fat in the bloodstream. The mean triglyceride level for U.S. adults (ages 20 and older) is 97 milligrams per deciliter. Assume the triglyceride levels of U.S. adults who are at least 20 years old are normally distributed, with a standard deviation of 25 milligrams per
P(x < 180)The random variable x is normally distributed with mean μ = 174 and standard deviation σ = 20.Find the indicated probability.
P(x < 160)The random variable x is normally distributed with mean μ = 174 and standard deviation σ = 20.Find the indicated probability.
P(x > 185)The random variable x is normally distributed with mean μ = 174 and standard deviation σ = 20.Find the indicated probability.
P(x > 170)The random variable x is normally distributed with mean μ = 174 and standard deviation σ = 20.Find the indicated probability.
P(170 < x < 195)The random variable x is normally distributed with mean μ = 174 and standard deviation σ = 20.Find the indicated probability.
P(155 < x < 172)The random variable x is normally distributed with mean μ = 174 and standard deviation σ = 20.Find the indicated probability.
In a survey of South African CEOs, the annual incomes were normally distributed, with a mean of \($7.14\) million and a standard deviation of \($0.5\) million. Find the probability that a randomly selected CEO has an annual income that is(a) less than \($6.5\) million,(b) between \($7\) million and
The ages of prime ministers of Sri Lanka, when they were first sworn to office, are normally distributed with a mean of 58.21 years and a standard deviation of 11.56 years. Find the probability that the age of a randomly selected prime minister of Sri Lanka when he was sworn to office was(a) less
The monthly maintenance charges of an organization are normally distributed, with a mean of \($500\) and a standard deviation of\($150.\) Find the probability that a randomly selected utility bill is(a) less than \($200,\) (b) between \($300\) and \($600,\)(c) more than \($800.\) Find the
The amounts of time per workout a person uses an elliptical cross trainer are normally distributed, with a mean of 10 minutes and a standard deviation of 2 minutes. Find the probability that a randomly selected worker uses a cross trainer for(a) less than 7 minutes,(b) between 10 and 15 minutes,(c)
Use the normal distribution in Exercise 13.(a) What percent of the SAT total scores are less than 1200?(b) Out of 500 randomly selected SAT total scores, about how many would you expect to be greater than 1300?Answer the questions about the specified normal distribution.Data from Exercises 13A
ACT Composite Scores Use the normal distribution in Exercise 14.(a) What percent of the ACT composite scores are less than 16?(b) Out of 1000 randomly selected ACT composite scores, about how many would you expect to be greater than 23?Answer the questions about the specified normal
Pregnancy Length Use the normal distribution in Exercise 15.(a) What percent of the new mothers had a pregnancy length of less than 280 days?(b) What percent of the new mothers had a pregnancy length of between 250 and 275 days?(c) Out of 500 randomly selected new mothers, about how many would you
Red Blood Cell Count Use the normal distribution in Exercise 16.(a) What percent of the adult males have a red blood cell count less than 5.75 million cells per microliter?(b) What percent of the adult males have a red blood cell count between 4.75 and 5.25 million cells per microliter?(c) Out of
The probability that you will clear an entrance exam in any attempt is 0.26. Find the probability that you(a) clear the exam on the fourth attempt,(b) clear the exam on the first, second or third attempt,(c) do not clear the exam on the first three attempts.Find the indicated probabilities using
A spare parts seller finds that 3 in every 100 parts sold is defective. Find the probability that(a) the first defective part is the eighth part sold,(b) the first defective part is the first, second or third part sold,(c) none of the first 8 parts sold are defective.Find the indicated
A publisher finds that the mean number of grammatical errors per page of a book is six. Find the probability that the number of grammatical errors found on any given page is(a) exactly four,(b) at most four,(c) more than four.Find the indicated probabilities using the geometric distribution, the
A cloth manufacturer finds that 1 in every 400 shirts produced is faded. Find the probability that(a) the first faded shirt is the eighth item produced,(b) the first faded shirt is the first, second, or third item produced, and(c) none of the first eight shirts produced are faded.Find the indicated
A cereal maker places a toy in each of its cereal boxes. The probability of winning this toy is 1 in 5. Find the probability that you(a) win your first toy with your fifth purchase,(b) win your first toy with your first, second, third, or fourth purchase, and(c) do not win a toy with your first
The mean number of droughts in Asia per year from 1980 through 2008 was about 3.24. Find the probability that the number of droughts in Asia in any given year from 1980 through 2008 are(a) exactly two,(b) at most two, and(c) more than two.Find the indicated probabilities using the geometric
Fifty-two percent of adults in Delhi are unaware about the reservation system in India. You randomly select six adults in Delhi. Find the probability that the number of adults in Delhi who are unaware about the reservation system in India is(a) exactly five,(b) less than four, and(c) at least
Let x represent the number of registers in use at a departmental store.Determine whether the random variable x is discrete or continuous. Explain.
The random variable x represents the number of misprints in a page of a book.Determine whether the distribution is a probability distribution. If it is not a probability distribution, explain why. x 0 1 5 120 2 3 4 5 6 7 13 22 25 3 10 60 120
The number of road accidents on a weekday at a busy crossing(a) find the mean, variance, and standard deviation of the probability distribution, and(b) interpret the results. Number of accidents Probability 0 1 2 3 4 5 6 0.150 0.165 0.265 0.195 0.110 0.090 0.025
A shopkeeper sells mangoes in packets of 5-, 10-, 20-, 25-, and 40-lbs. The distribution of sales for one year is given.(a) find the mean, variance, and standard deviation of the probability distribution, and(b) interpret the results. Packet Weight (in lbs) Probability 5 10 20 25 40 0.250 0.325
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