Question 1

$\mu = 54 , \sigma = 32 , n = 64$

Accepted Answer

A)  $\mu \frac { \ } { x } = 54 , \sigma \frac {  } { x } = 4$ 
B)  $\mu _{\bar { x }} = 54 , \sigma_{ \bar { x } }= 32$ 
C)  $\mu _{\bar { x }} = 54 , \sigma  _{\bar { x }} = 0.5$ 
D)  $\mu  _{\bar { x }}= 6.75 , \sigma  _{\bar { x }}= 4$ 
A)  $\mu \frac { \ } { x } = 54 , \sigma \frac {  } { x } = 4$ 
B)  $\mu _{\bar { x }} = 54 , \sigma_{ \bar { x } }= 32$ 
C)  $\mu _{\bar { x }} = 54 , \sigma  _{\bar { x }} = 0.5$ 
D)  $\mu  _{\bar { x }}= 6.75 , \sigma  _{\bar { x }}= 4$

Question 2

The National Association of Realtors estimates that 23% of all homes purchased in 2004 were consideredinvestment properties. If a sample of 800 homes sold in 2004 is obtained what is the probability that at least 175homes are going to be used as investment property?

Accepted Answer

A)  0.7764 
B)  0.4821 
C)  0.2236 
D)  0.5189 
A)  0.7764 
B)  0.4821 
C)  0.2236 
D)  0.5189

Question 3

Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that forthe afternoon shift 5% of all welds done will be substandard. If Smith checks 300 of the 7500 welds completedthat shift, what is the probability that he will find between 10 and 20 substandard welds?

Accepted Answer

A)  0.8132 
B)  0.4066 
C)  0.2033 
D)  0.6377 
A)  0.8132 
B)  0.4066 
C)  0.2033 
D)  0.6377

Question 4

The National Association of Realtors estimates that 23% of all homes purchased in 2004 were consideredinvestment properties. If a sample of 800 homes sold in 2004 is obtained what is the probability that between175 and 200 homes are going to be used as investment property?

Accepted Answer

A)  0.1335 
B)  0.9099 
C)  0.7764 
D)  0.2236 
A)  0.1335 
B)  0.9099 
C)  0.7764 
D)  0.2236

Question 5

Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds. A sample of100 items is drawn from this population. What is the standard error of the mean?

Accepted Answer

A)  2.5 
B)  1.8 
C)  18.0 
D)  0.25 
A)  2.5 
B)  1.8 
C)  18.0 
D)  0.25

Question 6

The amount of corn chips dispensed into a 16-ounce bag by the dispensing machine has been identified aspossessing a normal distribution with a mean of 16.5 ounces and a standard deviation of 0.2 ounce. Suppose100 bags of chips were randomly selected from this dispensing machine. Find the probability that the samplemean weight of these 100 bags exceeded 16.6 ounces.

Accepted Answer

A)  approximately 0 
B)  0.1915 
C)  0.3085 
D)  0.6915 
A)  approximately 0 
B)  0.1915 
C)  0.3085 
D)  0.6915

Question 7

$$\mu = 28 , \sigma = 8 , \mathrm { n } = 22$$

Accepted Answer

A) 
$\mu _{\bar { x }}= 28 , \sigma   _{\bar { x }} = 1.706$ 
B) 
$\mu _{\bar { x }} = 28 , \sigma  _{\bar { x }}= 0.364$ 
C) 
$\mu  _{\bar { x }} = 28 , \sigma  _{\bar { x }} = 8$ 
D)  
$\mu _{\bar { x }}= 16.166 , \sigma _{\bar { x }}= 1.706$

Provide an appropriate response. 
A) 
$\mu _{\bar { x }}= 28 , \sigma   _{\bar { x }} = 1.706$ 
B) 
$\mu _{\bar { x }} = 28 , \sigma  _{\bar { x }}= 0.364$ 
C) 
$\mu  _{\bar { x }} = 28 , \sigma  _{\bar { x }} = 8$ 
D)  
$\mu _{\bar { x }}= 16.166 , \sigma _{\bar { x }}= 1.706$

Provide an appropriate response.

Question 8

The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4.5.Suppose 81 golfers played the course today. Find the probability that the average score of the 81 golfersexceeded 76.

Accepted Answer

A)  0.0228 
B)  0.1293 
C)  0.4772 
D)  0.3707 
A)  0.0228 
B)  0.1293 
C)  0.4772 
D)  0.3707

Question 9

Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that forthe afternoon shift 5% of all welds done will be substandard. If Smith checks 300 of the 7500 welds completedthat shift, would it be unusual for Smith to find 30 or more substandard welds?

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 10

According to the law of large numbers, as more observations are added to the sample, the difference betweenthe sample mean and the population mean

Accepted Answer

A)  Tends to become smaller 
B)  Tends to become larger 
C)  Remains about the same 
D)  Is inversely affected by the data added 
A)  Tends to become smaller 
B)  Tends to become larger 
C)  Remains about the same 
D)  Is inversely affected by the data added

Question 11

A greenhouse in a tri-county area has kept track of its customers for the last several years and has determinedthat it has about 10,000 regular customers. Of those customers, 28% of them plant a vegetable garden in thespring. The greenhouse obtains a random sample of 800 of its customers. Is it safe to assume that the sampling^distribution of p, the sample proportion of customers that plant a vegetable garden, is approximately normal?

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 12

The amount of time it takes a student to walk from her home to class has a skewed right distribution with amean of 17 minutes and a standard deviation of 2.2 minutes. If data were collected from 50 randomly selectedwalks, describe the sampling distribution of $\overline { x _ { , } }$ the sample mean time.8.2 Distribution of the Sample Proportion1 Describe the sampling distribution of a sample proportion.

Accepted Answer

By the Central Limit Theorem, the sampli

$\mu = 54 , \sigma = 32 , n = 64$

The National Association of Realtors estimates that 23% of all homes purchased in 2004 were consideredinvestment properties. If a sample of 800 homes sold in 2004 is obtained what is the probability that at least 175homes are going to be used as investment property?

The National Association of Realtors estimates that 23% of all homes purchased in 2004 were consideredinvestment properties. If a sample of 800 homes sold in 2004 is obtained what is the probability that between175 and 200 homes are going to be used as investment property?

Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds. A sample of100 items is drawn from this population. What is the standard error of the mean?

$\mu = 28 , \sigma = 8 , \mathrm { n } = 22$

The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4.5.Suppose 81 golfers played the course today. Find the probability that the average score of the 81 golfersexceeded 76.

Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that forthe afternoon shift 5% of all welds done will be substandard. If Smith checks 300 of the 7500 welds completedthat shift, would it be unusual for Smith to find 30 or more substandard welds?

According to the law of large numbers, as more observations are added to the sample, the difference betweenthe sample mean and the population mean

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distribution

Estimating the Value of a Parameter

Hypothesis Tests Regarding a Parameter

Inferences on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Filters

Exam 8: Sampling Distributions

μ=54,σ=32,n=64\mu = 54 , \sigma = 32 , n = 64μ=54,σ=32,n=64

The National Association of Realtors estimates that 23% of all homes purchased in 2004 were consideredinvestment properties. If a sample of 800 homes sold in 2004 is obtained what is the probability that at least 175homes are going to be used as investment property?

The National Association of Realtors estimates that 23% of all homes purchased in 2004 were consideredinvestment properties. If a sample of 800 homes sold in 2004 is obtained what is the probability that between175 and 200 homes are going to be used as investment property?

Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds. A sample of100 items is drawn from this population. What is the standard error of the mean?

μ=28,σ=8,n=22\mu = 28 , \sigma = 8 , \mathrm { n } = 22μ=28,σ=8,n=22

The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4.5.Suppose 81 golfers played the course today. Find the probability that the average score of the 81 golfersexceeded 76.

Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that forthe afternoon shift 5% of all welds done will be substandard. If Smith checks 300 of the 7500 welds completedthat shift, would it be unusual for Smith to find 30 or more substandard welds?

According to the law of large numbers, as more observations are added to the sample, the difference betweenthe sample mean and the population mean

Data Collection

Organizing and Summarizing Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distribution

Estimating the Value of a Parameter

Hypothesis Tests Regarding a Parameter

Inferences on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Filters

$\mu = 54 , \sigma = 32 , n = 64$

$\mu = 28 , \sigma = 8 , \mathrm { n } = 22$