Question 1

____________ says that if the sample size is sufficiently large,then the sample means are approximately normally distributed.

Accepted Answer

A) Cluster sampling 
B) Sampling error 
C) Sampling distribution of the mean 
D) The Central Limit Theorem 
A) Cluster sampling 
B) Sampling error 
C) Sampling distribution of the mean 
D) The Central Limit Theorem

Question 2

In a manufacturing process,a machine produces bolts that have an average length of 3 inches with a variance of .03.If we randomly select three bolts from this process,What is the probability the mean length of the bolt is at least 3.16 inches?

Accepted Answer

A) 97.72% 
B) 5.48% 
C) 94.52% 
D) 44.52% 
E) 2.28% 
A) 97.72% 
B) 5.48% 
C) 94.52% 
D) 44.52% 
E) 2.28%

Question 3

A random sample of size 1,000 is taken from a population where p = .20.Find P(   > .175).

Accepted Answer

A) .9761 
B) .0239 
C) .0392 
D) .9999 
A) .9761 
B) .0239 
C) .0392 
D) .9999

Question 4

The College Student Journal (December 1992)investigated differences in traditional and nontraditional students,where nontraditional students are defined as 25 years old or older and working.Based on the study results,we can assume the population mean and standard deviation for the GPA of nontraditional students are µ = 3.5 and σ = 0.5.Suppose a random sample of 100 nontraditional students is selected and the GPA for each student is calculated.What is   ?

Accepted Answer

A) 0.5 
B) 3.5 
C) 7.0 
D) 0.05 
A) 0.5 
B) 3.5 
C) 7.0 
D) 0.05

Question 5

A random sample of size 36 is taken from a population with mean 50 and standard deviation 5.Find P(   < 51.5).

Accepted Answer

A) .9641 
B) .0359 
C) .1389 
D) .9999 
A) .9641 
B) .0359 
C) .1389 
D) .9999

Question 6

Find P(   < 25)if μ = 16 and   = 4.

Accepted Answer

A) 1.000 
B) 2.25 
C) .9878 
D) .0122 
A) 1.000 
B) 2.25 
C) .9878 
D) .0122

Question 7

A manufacturing company measures the weight of boxes before shipping them to the customers.If the box weights have a population mean and standard deviation of 90 lbs.and 24 lbs. ,respectively,then based on a sample size of 36 boxes,what is the probability that the average weight of the boxes will exceed 94 lbs.?

Accepted Answer

A) 34.13% 
B) 84.13% 
C) 15.87% 
D) 56.36% 
E) 16.87% 
A) 34.13% 
B) 84.13% 
C) 15.87% 
D) 56.36% 
E) 16.87%

Question 8

In a manufacturing process,a machine produces bolts that have an average length of 3 inches with a variance of .03.If we randomly select three bolts from this process,what is the probability the mean length of the bolt is at most 3.1 inches?

Accepted Answer

A) 84.13% 
B) 100% 
C) 71.57% 
D) 28.43% 
E) 15.87% 
A) 84.13% 
B) 100% 
C) 71.57% 
D) 28.43% 
E) 15.87%

Question 9

According to the Central Limit Theorem,if a sample size is at least _____,then for most sampled populations,we can conclude that the sample means are approximately normal.

Accepted Answer

A) 25 
B) 20 
C) 30 
D) 50 
A) 25 
B) 20 
C) 30 
D) 50

Question 10

Find P(   x = 200,and n = 100.

Accepted Answer

A) .8413 
B) .4602 
C) .5398 
D) .1587 
A) .8413 
B) .4602 
C) .5398 
D) .1587

Question 11

Methods for obtaining a sample are called:

Accepted Answer

A) Sample surveys. 
B) Probability sampling. 
C) Random sampling. 
D) Sampling designs. 
A) Sample surveys. 
B) Probability sampling. 
C) Random sampling. 
D) Sampling designs.

Question 12

The quantity √[(N - n)(N - 1)] is called the finite population multiplier.

Accepted Answer

A) True 
 B)False

Question 13

Suppose that 60 percent of the voters in a particular region support a candidate.Find the probability that a sample of 1,000 voters would yield a sample proportion in favor of the candidate within 4 percentage points of the actual proportion.

Accepted Answer

A) .0155 
B) .9952 
C) .9484 
D) .9902 
A) .0155 
B) .9952 
C) .9484 
D) .9902

Question 14

The Central Limit Theorem states that as sample size increases,the population distribution more closely approximates a normal distribution.

Accepted Answer

A) True 
 B)False

Question 15

Errors of nonobservation occur when data values are recorded incorrectly.

Accepted Answer

A) True 
 B)False

Question 16

Stratification can at times be combined with multistage cluster sampling to develop an appropriate sample.

Accepted Answer

A) True 
 B)False

Question 17

If we have a sample size of 100 and the estimate of the population proportion is .10,we can estimate the sampling distribution of   with a normal distribution.

Accepted Answer

A) True 
 B)False

Question 18

Packages of sugar bags for Sweeter Sugar Inc.have an average weight of 16 ounces and a standard deviation of 0.3 ounces.The weights of the sugar packages are normally distributed.What is the probability that 9 randomly selected packages will have an average weight in excess of 16.025 ounces?

Accepted Answer

A) .5987 
B) .0062 
C) .4013 
D) .9938 
A) .5987 
B) .0062 
C) .4013 
D) .9938

Question 19

A random sample of size 1,000 is taken from a population where p = .20.Find P(   > .21).

Accepted Answer

A) .2148 
B) .0239 
C) .9761 
D) .7852 
A) .2148 
B) .0239 
C) .9761 
D) .7852

Question 20

For any sampled population,the population of all sample means is approximately normally distributed.

Accepted Answer

A) True 
 B)False

____________ says that if the sample size is sufficiently large,then the sample means are approximately normally distributed.

In a manufacturing process,a machine produces bolts that have an average length of 3 inches with a variance of .03.If we randomly select three bolts from this process,What is the probability the mean length of the bolt is at least 3.16 inches?

A random sample of size 1,000 is taken from a population where p = .20.Find P( > .175).

A random sample of size 36 is taken from a population with mean 50 and standard deviation 5.Find P( < 51.5).

Find P( < 25)if μ = 16 and = 4.

In a manufacturing process,a machine produces bolts that have an average length of 3 inches with a variance of .03.If we randomly select three bolts from this process,what is the probability the mean length of the bolt is at most 3.1 inches?

According to the Central Limit Theorem,if a sample size is at least _____,then for most sampled populations,we can conclude that the sample means are approximately normal.

Find P( < 402),if μ = 400,σ_x = 200,and n = 100.

Methods for obtaining a sample are called:

The quantity √[(N - n)(N - 1)] is called the finite population multiplier.

Suppose that 60 percent of the voters in a particular region support a candidate.Find the probability that a sample of 1,000 voters would yield a sample proportion in favor of the candidate within 4 percentage points of the actual proportion.

The Central Limit Theorem states that as sample size increases,the population distribution more closely approximates a normal distribution.

Errors of nonobservation occur when data values are recorded incorrectly.

Stratification can at times be combined with multistage cluster sampling to develop an appropriate sample.

If we have a sample size of 100 and the estimate of the population proportion is .10,we can estimate the sampling distribution of with a normal distribution.

Packages of sugar bags for Sweeter Sugar Inc.have an average weight of 16 ounces and a standard deviation of 0.3 ounces.The weights of the sugar packages are normally distributed.What is the probability that 9 randomly selected packages will have an average weight in excess of 16.025 ounces?

A random sample of size 1,000 is taken from a population where p = .20.Find P( > .21).

For any sampled population,the population of all sample means is approximately normally distributed.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

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 7: Sampling and Sampling Distributions

____________ says that if the sample size is sufficiently large,then the sample means are approximately normally distributed.

In a manufacturing process,a machine produces bolts that have an average length of 3 inches with a variance of .03.If we randomly select three bolts from this process,What is the probability the mean length of the bolt is at least 3.16 inches?

A random sample of size 1,000 is taken from a population where p = .20.Find P( > .175).

A random sample of size 36 is taken from a population with mean 50 and standard deviation 5.Find P( < 51.5).

Find P( < 25)if μ = 16 and = 4.

In a manufacturing process,a machine produces bolts that have an average length of 3 inches with a variance of .03.If we randomly select three bolts from this process,what is the probability the mean length of the bolt is at most 3.1 inches?

According to the Central Limit Theorem,if a sample size is at least _____,then for most sampled populations,we can conclude that the sample means are approximately normal.

Find P( < 402),if μ = 400,σx = 200,and n = 100.

Methods for obtaining a sample are called:

The quantity √[(N - n)(N - 1)] is called the finite population multiplier.

Suppose that 60 percent of the voters in a particular region support a candidate.Find the probability that a sample of 1,000 voters would yield a sample proportion in favor of the candidate within 4 percentage points of the actual proportion.

The Central Limit Theorem states that as sample size increases,the population distribution more closely approximates a normal distribution.

Errors of nonobservation occur when data values are recorded incorrectly.

Stratification can at times be combined with multistage cluster sampling to develop an appropriate sample.

If we have a sample size of 100 and the estimate of the population proportion is .10,we can estimate the sampling distribution of with a normal distribution.

Packages of sugar bags for Sweeter Sugar Inc.have an average weight of 16 ounces and a standard deviation of 0.3 ounces.The weights of the sugar packages are normally distributed.What is the probability that 9 randomly selected packages will have an average weight in excess of 16.025 ounces?

A random sample of size 1,000 is taken from a population where p = .20.Find P( > .21).

For any sampled population,the population of all sample means is approximately normally distributed.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

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

Find P( < 402),if μ = 400,σ_x = 200,and n = 100.