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statistics
elementary statistics in social research

Questions and Answers of Elementary Statistics In Social Research

P83 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 .09 .08 .07 .06 .05 .04 .03
P55 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 .09 .08 .07 .06 .05 .04 .03
Find the indicated z-score(s) shown in the graph. Area = 0.3520 z = ? 0 Z
.Find the indicated z-score(s) shown in the graph. Area = 0.5987 0 z = ? Z
Find the indicated z-score(s) shown in the graph. Area = 0.0233 0 z = ? Z
Find the indicated z-score(s) shown in the graph. z = ? 0 Area = 0.7190
Find the indicated z-score(s) shown in the graph. Area = 0.475 Area = 0.475 z = ? 0 z = ? Z
Find the indicated z-score(s) shown in the graph. Area = 0.05 Area = 0.05 z = ? 0 z=? Z
Find the z-score that has 15.6% of the distribution’s area to its right.Find the indicated z-score.
Find the z-score that has 88.9% of the distribution’s area to its right.Find the indicated z-score.
Find the z-score that has 43.5% of the distribution’s area to its left.Find the indicated z-score.
Find the z-score that has 31.5% of the distribution’s area to its left.Find the indicated z-score.
Find the z-score that has 4.887% of the distribution’s area to its right.Find the indicated z-score.
Find the z-score that has 93.1865% of the distribution’s area to its left.Find the indicated z-score.
Find the positive z-score for which 70% of the distribution’s area lies between -z and z.Find the indicated z-score.
Find the positive z-score for which 15% of the distribution’s area lies between -z and z.Find the indicated z-score.
In a survey of South African CEOs, the mean annual income was \($7.14\) million with a standard deviation of \($0.5\) million. What income represents the 90th percentile?(a) What income represents
The red blood cell counts (in grams per deciliter) for a population of adult females can be approximated by a normal distribution, with a mean of 13.5 grams per deciliter and a standard deviation of
The life span (in kilometers) for a population of a new brand of tires can be approximated by a normal distribution, with a mean of 80,000 kilometers and a standard deviation of 1,500 kilometers.(a)
The weights of bags of baby corns are normally distributed, with a mean of 500 grams and a standard deviation of 25 grams.Bags in the upper 2% are too heavy and must be repackaged. What is the most a
You sell a brand of thermostat that has a life expectancy that is normally distributed, with a mean life of 8.5 years and a standard deviation of 0.75 years. You want to give a guarantee for free
The number of times four people go grocery shopping in a month is given by the population values 51, 3, 5, 76. A probability histogram for the data is shown at the left. You randomly choose two of
A study analyzed the sleep habits of college students. The study found that the mean sleep time was 6.8 hours, with a standard deviation of 1.4 hours. Random samples of 100 sleep times are drawn from
Assume the training heart rates of all 20-year-old athletes are normally distributed, with a mean of 135 beats per minute and a standard deviation of 18 beats per minute, as shown in the figure.
The figure at the right shows the mean distances traveled by drivers each day. You randomly select 50 drivers ages 16 to 19. What is the probability that the mean distance traveled each day is
The mean room and board expense per year at four-year colleges is \($10,453\).You randomly select 9 four-year colleges. What is the probability that the mean room and board is less than \($10,750?\)
Some college students use credit cards to pay for school-related expenses. For this population, the amount paid is normally distributed, with a mean of \($1615\) and a standard deviation of
μ = 225, σ = 40, n = 75 A population has a mean μ and a standard deviation σ. Find the mean and standard deviation of the sampling distribution of sample means with sample size n.
μ = 99, σ = 12, n = 225 A population has a mean μ and a standard deviation σ. Find the mean and standard deviation of the sampling distribution of sample means with sample size n.
μ = 1022, σ = 144, n = 360 A population has a mean μ and a standard deviation σ. Find the mean and standard deviation of the sampling distribution of sample means with sample size n.
μ = 4848, σ = 24, n = 1200 A population has a mean μ and a standard deviation σ. Find the mean and standard deviation of the sampling distribution of sample means with sample size n.
For a random sample of n = 49, find the probability of a sample mean being less than 37.2 when μ = 38 and σ = 2.17.The population mean and standard deviation are given. Find the indicated
For a random sample of n = 225, find the probability of a sample mean being greater than 37.2 when μ = 38 and σ = 2.17.The population mean and standard deviation are given. Find the indicated
For a random sample of n = 60, find the probability of a sample mean being greater than 132 when μ = 130 and σ = 16.1.The population mean and standard deviation are given. Find the indicated
For a random sample of n = 25, find the probability of a sample mean being less than 100 or greater than 102 when μ = 100 and σ = 4.5.The population mean and standard deviation are given. Find the
Repeat Exercise 20 for samples of size 18 and 12.What happens to the mean and the standard deviation of the distribution of sample means as the sample size decreases?Data from Exercises 20The scores
A machine is set to fill paint cans with a mean of 5 kilograms and a standard deviation of 0.02 kilograms. A random sample of 75 cans has a mean of 4.99 kilograms. The machine needs to be reset when
Chocolate Cookies A machine is set to pack chocolate cookies with a mean of 125 grams and a standard deviation of 4 grams. A random sample of 16 packs has a mean of 125.5 grams. The machine needs to
Cloth Cutter The lengths of cloth a machine cuts for making dresses are normally distributed, with a mean of 3 meters and a standard deviation of 0.25 meters.(a) What is the probability that a
Muffins The weights of muffin cartons are normally distributed with a mean weight of 1.25 kilograms and a standard deviation of 0.1 kilograms.(a) What is the probability that a randomly selected
Two binomial experiments are listed. Determine whether you can use a normal distribution to approximate the distribution of x, the number of people who reply yes. If you can, find the mean and
Use a continuity correction to convert each binomial probability to a normal distribution probability.1. The probability of getting between 270 and 310 successes, inclusive 2. The probability of
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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?
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.

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