Question 1

Find z when the area to the left of z is .05.

Accepted Answer

A) 1.645 
B) 1.00 
C) -1.645 
D) -1.96 
A) 1.645 
B) 1.00 
C) -1.645 
D) -1.96

Question 2

Consider a normal population with a mean of 10 and a variance of 4.Find P(X ≥ 10).

Accepted Answer

A) 1.00 
B) 0.00 
C) 0.50 
D) -0.50 
A) 1.00 
B) 0.00 
C) 0.50 
D) -0.50

Question 3

____________ theory is a methodology that attempts to determine the number of servers that strikes an optimum balance between the time customers wait for service and the cost of providing service.

Accepted Answer

A) Exponential 
B) Binomial 
C) Uniform Distribution 
D) Queuing 
A) Exponential 
B) Binomial 
C) Uniform Distribution 
D) Queuing

Question 4

If x is a binomial random variable where n = 100 and p = .1,find the probability that x is less than or equal to 10,using the normal approximation to the binomial.

Accepted Answer

A) .5675 
B) .0170 
C) .5714 
D) .4325 
A) .5675 
B) .0170 
C) .5714 
D) .4325

Question 5

A manufacturer of personal computers tests competing brands and finds that the amount of energy they require is normally distributed with a mean of 285 kwh and a standard deviation of 9.1 kwh.If the lowest 25 percent and the highest 30 percent are not included in a second round of tests,what are the upper and lower limits for the energy amounts of the remaining computers?

Accepted Answer

A) [269.76 300.24] 
B) [278.86 289.78] 
C) [280.22 289.78] 
D) [280.22 300.24] 
A) [269.76 300.24] 
B) [278.86 289.78] 
C) [280.22 289.78] 
D) [280.22 300.24]

Question 6

While conducting experiments,a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.What is the probability that a randomly selected depth is within 1 standard deviation of the mean?

Accepted Answer

A) 0.320 
B) 0.576 
C) 0.600 
D) 1.000 
A) 0.320 
B) 0.576 
C) 0.600 
D) 1.000

Question 7

The US local airport keeps track of the percentage of flights arriving within 15 minutes of their scheduled arrivals.The stem-and-leaf plot of the data for one year is below.   Construct a normal probability plot and interpret the plot.

Accepted Answer

Slightly s

Question 8

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.What is the probability that a sheet selected at random will be less than 31 inches long?

Accepted Answer

A) 0.00 
B) 1.00 
C) .8289 
D) .5987 
A) 0.00 
B) 1.00 
C) .8289 
D) .5987

Question 9

A continuous probability distribution having a rectangular shape,where the probability is evenly distributed over an interval of numbers,is called a uniform probability distribution.

Accepted Answer

A) True 
 B)False

Question 10

The normal probability distribution is a discrete probability distribution.

Accepted Answer

A) True 
 B)False

Question 11

While conducting experiments,a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.What is the probability that a randomly selected depth is less than 3.60 m?

Accepted Answer

A) .72 
B) .80 
C) .46 
D) .32 
A) .72 
B) .80 
C) .46 
D) .32

Question 12

Suppose the daily change in price of a stock is normally distributed with mean = .20 and standard deviation = .30.What price change is associated with the 25th percentile?

Accepted Answer

A) .1925 
B) .2075 
C) .401 
D) -.001 
A) .1925 
B) .2075 
C) .401 
D) -.001

Question 13

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9.What is the probability of getting a grade of 91 or less on this exam?

Accepted Answer

A) 1.00 
B) 0.50 
C) 0.0073 
D) .9927 
A) 1.00 
B) 0.50 
C) 0.0073 
D) .9927

Question 14

The normal approximation of the binomial distribution is appropriate when:

Accepted Answer

A) np ≥ 5 
B) n(1 - p)≥ 5 
C) np ≤ 5 
D) n(1 - p)≤ 5 and np ≤ 5 
E) np ≥ 5 and n(1 - p)≥ 5 
A) np ≥ 5 
B) n(1 - p)≥ 5 
C) np ≤ 5 
D) n(1 - p)≤ 5 and np ≤ 5 
E) np ≥ 5 and n(1 - p)≥ 5

Question 15

Find z when the area to the left of z is .6700.

Accepted Answer

A) 0.75 
B) 0.44 
C) -0.44 
D) -0.75 
A) 0.75 
B) 0.44 
C) -0.44 
D) -0.75

Question 16

The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours.What is the probability that the drone will fly between 4.70 and 4.82 hours?

Accepted Answer

A) .1336 
B) .8664 
C) .9332 
D) .4332 
A) .1336 
B) .8664 
C) .9332 
D) .4332

Question 17

The price-to-earnings ratio for firms in a given industry is distributed according to the normal distribution.In this industry,a firm with a standard normal variable value of z = 1:

Accepted Answer

A) Has an above average price-to-earnings ratio. 
B) Has a below average price-to-earnings ratio. 
C) Has an average price-to-earnings ratio. 
D) May have an above average or below average price-to-earnings ratio. 
A) Has an above average price-to-earnings ratio. 
B) Has a below average price-to-earnings ratio. 
C) Has an average price-to-earnings ratio. 
D) May have an above average or below average price-to-earnings ratio.

Question 18

The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours.What is the probability that the drone will fly less than 4.66 hours?

Accepted Answer

A) -.0062 
B) .5062 
C) .0062 
D) .9938 
A) -.0062 
B) .5062 
C) .0062 
D) .9938

Question 19

An apple juice producer buys all his apples from a conglomerate of apple growers in one northwestern state.The amount of juice squeezed from each of these apples is approximately normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce.What is the probability that a randomly selected apple will contain between 2.00 and 2.50 ounces?

Accepted Answer

A) .500 
B) .905 
C) .9525 
D) .9544 
A) .500 
B) .905 
C) .9525 
D) .9544

Question 20

The standard deviation of a standard normal distribution is always equal to ____________.

Accepted Answer

A) 1 
B) 0.5 
C) 0 
D) -1 
A) 1 
B) 0.5 
C) 0 
D) -1

Find z when the area to the left of z is .05.

Consider a normal population with a mean of 10 and a variance of 4.Find P(X ≥ 10).

____________ theory is a methodology that attempts to determine the number of servers that strikes an optimum balance between the time customers wait for service and the cost of providing service.

If x is a binomial random variable where n = 100 and p = .1,find the probability that x is less than or equal to 10,using the normal approximation to the binomial.

While conducting experiments,a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.What is the probability that a randomly selected depth is within 1 standard deviation of the mean?

The US local airport keeps track of the percentage of flights arriving within 15 minutes of their scheduled arrivals.The stem-and-leaf plot of the data for one year is below. Construct a normal probability plot and interpret the plot.

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.What is the probability that a sheet selected at random will be less than 31 inches long?

A continuous probability distribution having a rectangular shape,where the probability is evenly distributed over an interval of numbers,is called a uniform probability distribution.

The normal probability distribution is a discrete probability distribution.

While conducting experiments,a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.What is the probability that a randomly selected depth is less than 3.60 m?

Suppose the daily change in price of a stock is normally distributed with mean = .20 and standard deviation = .30.What price change is associated with the 25^th percentile?

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9.What is the probability of getting a grade of 91 or less on this exam?

The normal approximation of the binomial distribution is appropriate when:

Find z when the area to the left of z is .6700.

The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours.What is the probability that the drone will fly between 4.70 and 4.82 hours?

The price-to-earnings ratio for firms in a given industry is distributed according to the normal distribution.In this industry,a firm with a standard normal variable value of z = 1:

The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours.What is the probability that the drone will fly less than 4.66 hours?

The standard deviation of a standard normal distribution is always equal to ____________.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Process Improvement Using Control Charts

Filters

Exam 6: Continuous Random Variables

Find z when the area to the left of z is .05.

Consider a normal population with a mean of 10 and a variance of 4.Find P(X ≥ 10).

____________ theory is a methodology that attempts to determine the number of servers that strikes an optimum balance between the time customers wait for service and the cost of providing service.

If x is a binomial random variable where n = 100 and p = .1,find the probability that x is less than or equal to 10,using the normal approximation to the binomial.

While conducting experiments,a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.What is the probability that a randomly selected depth is within 1 standard deviation of the mean?

The US local airport keeps track of the percentage of flights arriving within 15 minutes of their scheduled arrivals.The stem-and-leaf plot of the data for one year is below. Construct a normal probability plot and interpret the plot.

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.What is the probability that a sheet selected at random will be less than 31 inches long?

A continuous probability distribution having a rectangular shape,where the probability is evenly distributed over an interval of numbers,is called a uniform probability distribution.

The normal probability distribution is a discrete probability distribution.

While conducting experiments,a marine biologist selects water depths from a uniformly distributed collection that vary between 2.00 m and 7.00 m.What is the probability that a randomly selected depth is less than 3.60 m?

Suppose the daily change in price of a stock is normally distributed with mean = .20 and standard deviation = .30.What price change is associated with the 25th percentile?

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9.What is the probability of getting a grade of 91 or less on this exam?

The normal approximation of the binomial distribution is appropriate when:

Find z when the area to the left of z is .6700.

The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours.What is the probability that the drone will fly between 4.70 and 4.82 hours?

The price-to-earnings ratio for firms in a given industry is distributed according to the normal distribution.In this industry,a firm with a standard normal variable value of z = 1:

The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours.What is the probability that the drone will fly less than 4.66 hours?

The standard deviation of a standard normal distribution is always equal to ____________.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Process Improvement Using Control Charts

Filters

Suppose the daily change in price of a stock is normally distributed with mean = .20 and standard deviation = .30.What price change is associated with the 25^th percentile?