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business statistics

Questions and Answers of Business Statistics

Suppose X ~ N(8, 1). What value of x has a z-score of –2.25?
Suppose X ~ N(9, 5). What value of x has a z-score of –0.5?
Suppose X ~ N(2, 3). What value of x has a z-score of –0.67?
Suppose X ~ N(4, 2). What value of x is 1.5 standard deviations to the left of the mean?
Suppose X ~ N(4, 2). What value of x is two standard deviations to the right of the mean?
Suppose X ~ N(8, 9). What value of x is 0.67 standard deviations to the left of the mean?
Suppose X ~ N(12, 6). What is the z-score of x = 2?
Suppose X ~ N(9, 3). What is the z-score of x = 9?
Suppose a normal distribution has a mean of six and a standard deviation of 1.5. What is the z-score of x = 5.5?
In a normal distribution, x = 5 and z = –1.25. This tells you that x = 5 is ____ standard deviations to the ____ (right or left) of the mean.
In a normal distribution, x = 3 and z = 0.67. This tells you that x = 3 is ____ standard deviations to the ____ (right or left) of the mean.
In a normal distribution, x = –2 and z = 6. This tells you that x = –2 is ____ standard deviations to the ____ (right or left) of the mean.
In a normal distribution, x = –5 and z = –3.14. This tells you that x = –5 is ____ standard deviations to the ____ (right or left) of the mean.
In a normal distribution, x = 6 and z = –1.7. This tells you that x = 6 is ____ standard deviations to the ____ (right or left) of the mean.
About what percent of x values from a normal distribution lie within one standard deviation (left and right) of the mean of that distribution?
About what percent of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution?
About what percent of x values lie between the second and third standard deviations (both sides)?
Suppose X ~ N(15, 3). Between what x values does 68.27% of the data lie? The range of x values is centered at the mean of the distribution (i.e., 15).
Suppose X ~ N(–3, 1). Between what x values does 95.45% of the data lie? The range of x values is centered at the mean of the distribution(i.e., –3).
Suppose X ~ N(–3, 1). Between what x values does 34.14% of the data lie?
About what percent of x values lie between the mean and three standard deviations?
About what percent of x values lie between the mean and one standard deviation?
About what percent of x values lie between the first and second standard deviations from the mean (both sides)?
About what percent of x values lie betwween the first and third standard deviations(both sides)?
The life of Sunshine CD players is normally distributed with mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of
The life of Sunshine CD players is normally distributed with mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of
How would you represent the area to the left of one in a probability statement? 1 x
What is the area to the right of one? 1 X
Is P(x < 1) equal to P(x ≤ 1)? Why?
How would you represent the area to the left of three in a probability statement? 3
What is the area to the right of three? 3 X
If the area to the left of x in a normal distribution is 0.123, what is the area to the right of x?
If the area to the right of x in a normal distribution is 0.543, what is the area to the left of x?Use the following information to answer the next four exercises:X ~ N(54, 8)
Find the probability that x > 56.
Find the probability that x < 30.
X ~ N(6, 2)Find the probability that x is between three and nine.
X ~ N(–3, 4)Find the probability that x is between one and four.
X ~ N(4, 5)Find the maximum of x in the bottom quartile.
Find the probability that a CD player will break down during the guarantee period.a. Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability.b. P(0 The life
Find the probability that a CD player will last between 2.8 and six years.a. Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability.b. P(__________ The life
What is the median recovery time?a. 2.7b. 5.3c. 7.4d. 2.1 The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of
What is the z-score for a patient who takes ten days to recover?a. 1.5b. 0.2c. 2.2d. 7.3 The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days
The length of time to find it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes. If the mean is significantly
The heights of the 430 National Basketball Association players were listed on team rosters at the start of the 2005–2006 season. The heights of basketball players have an approximate normal
The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean μ =125 and standard deviation σ = 14. Systolic blood pressure for males follows a
Kyle’s doctor told him that the z-score for his systolic blood pressure is 1.75. Which of the following is the best interpretation of this standardized score? The systolic blood pressure (given in
Height and weight are two measurements used to track a child’s development. TheWorld Health Organization measures child development by comparing the weights of children who are the same height and
In 2005, 1,475,623 students heading to college took the SAT. The distribution of scores in the math section of the SAT follows a normal distribution with mean μ = 520 and standard deviation σ =
What is the probability of spending more than two days in recovery?a. 0.0580b. 0.8447c. 0.0553d. 0.9420 The patient recovery time from a particular surgical procedure is normally distributed with a
Based upon the given information and numerically justified, would you be surprised if it took less than one minute to find a parking space?a. Yesb. Noc. Unable to determine The patient recovery time
Find the probability that it takes at least eight minutes to find a parking space.a. 0.0001b. 0.9270c. 0.1862d. 0.0668 The length of time it takes to find a parking space at 9 A.M. follows a normal
Seventy percent of the time, it takes more than how many minutes to find a parking space?a. 1.24b. 2.41c. 3.95d. 6.05 The length of time it takes to find a parking space at 9 A.M. follows a normal
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual.a. X ~ _____(_____,_____)b. Find the probability
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen.
In China, four-year-olds average three hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.5 hours and the
In the 1992 presidential election, Alaska’s 40 election districts averaged 1,956.8 votes per district for President Clinton.The standard deviation was 572.3. (There are only 40 election districts
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of seven days.a. In words, define the random
Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap race) with a standard deviation of 2.28 seconds. The distribution of her race times is normally
Suppose that Ricardo and Anita attend different colleges. Ricardo’s GPA is the same as the average GPA at his school.Anita’s GPA is 0.70 standard deviations above her school average. In complete
An expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed with a mean of 280 days and a standard deviation of 13 days. An alleged father was out of
A NUMMI assembly line, which has been operating since 1984, has built an average of 6,000 cars and trucks a week.Generally, 10% of the cars were defective coming off the assembly line. Suppose we
We flip a coin 100 times (n = 100) and note that it only comes up heads 20% (p = 0.20) of the time. The mean and standard deviation for the number of times the coin lands on heads is μ = 20 and σ =
Which type of distribution does the graph illustrate? 0 1 2 3 4 5 6 789 10 X
Which type of distribution does the graph illustrate? 0 1 2 3 T4 4 5 X 6 7 8 9 10
Which type of distribution does the graph illustrate? X -3 -2 -1 0 1 2 3
What does the shaded area represent? P(___ X 0 1 2 3 4 56 789 10
What does the shaded area represent? P(___ X 01 2 3 4 5 6 7 8 9 10
For a continuous probablity distribution, 0 ≤ x ≤ 15. What is P(x > 15)?
What is the area under f(x) if the function is a continuous probability density function?
For a continuous probability distribution, 0 ≤ x ≤ 10. What is P(x = 7)?
A continuous probability function is restricted to the portion between x = 0 and 7. What is P(x = 10)?
f(x) for a continuous probability function is 1/5, and the function is restricted to 0 ≤ x ≤ 5. What is P(x < 0)?
f(x), a continuous probability function, is equal to 1/12 , and the function is restricted to 0 ≤ x ≤
What is P (0 67 X 01 2 3 4 5 6 7 8 9 10
Find the probability that x falls in the shaded area. 110 0 1 2 2 13 X 4 5 6 7 8 9 10
Find the probability that x falls in the shaded area. 1 10 0 1 2 3 4 5 6 7 8 9 10
f(x), a continuous probability function, is equal to 1/3 and the function is restricted to 1 ≤ x ≤ 4. Describe P(x > 32).
What type of distribution is this?The data that follow are the square footage (in 1,000 feet squared) of 28 homes.The sample mean = 2.50 and the sample standard deviation = 0.8302.The distribution
In this distribution, outcomes are equally likely. What does this mean?The data that follow are the square footage (in 1,000 feet squared) of 28 homes.The sample mean = 2.50 and the sample standard
What is the height of f(x) for the continuous probability distribution?The data that follow are the square footage (in 1,000 feet squared) of 28 homes.The sample mean = 2.50 and the sample standard
What are the constraints for the values of x?The data that follow are the square footage (in 1,000 feet squared) of 28 homes.The sample mean = 2.50 and the sample standard deviation = 0.8302.The
Graph P(2 The data that follow are the square footage (in 1,000 feet squared) of 28 homes.The sample mean = 2.50 and the sample standard deviation = 0.8302.The distribution can be written as X ~
What is P(2 The data that follow are the square footage (in 1,000 feet squared) of 28 homes.The sample mean = 2.50 and the sample standard deviation = 0.8302.The distribution can be written as X ~
What is P(x The data that follow are the square footage (in 1,000 feet squared) of 28 homes.The sample mean = 2.50 and the sample standard deviation = 0.8302.The distribution can be written as X ~
What is P(x = 1.5)?The data that follow are the square footage (in 1,000 feet squared) of 28 homes.The sample mean = 2.50 and the sample standard deviation = 0.8302.The distribution can be written as
Find the probability that a randomly selected home has more than 3,000 square feet given that you already know the house has more than 2,000 square feet.The data that follow are the square footage
What is a? What does it represent?The data that follow are the square footage (in 1,000 feet squared) of 28 homes.The sample mean = 2.50 and the sample standard deviation = 0.8302.The distribution
What is b? What does it represent?A distribution is given as X ~ U(0, 12).
What is the probability density function?A distribution is given as X ~ U(0, 12).
What is the theoretical mean?A distribution is given as X ~ U(0, 12).
What is the theoretical standard deviation?A distribution is given as X ~ U(0, 12).
Draw the graph of the distribution for P(x > 9).A distribution is given as X ~ U(0, 12).
Find P(x > 9).A distribution is given as X ~ U(0, 12).
What is being measured here?A distribution is given as X ~ U(0, 12).The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.
In words, define the random variable X.The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.
Are the data discrete or continuous?The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.
The interval of values for x is ______.The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.
The distribution for X is ______.The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.
Write the probability density function.The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.
Graph the probability distribution.a. Sketch the graph of the probability distribution.b. Identify the following values:i. Lowest value for x – : _______ ii. Highest value for x – : _______ iii.

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