Deck 8: Sampling Distributions

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Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
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The number of violent crimes committed in a day possesses a distribution with a mean of 3.8 crimes per day and a standard deviation of 2 crimes per day. A random sample of 100 days was observed, and the mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample mean.

A) approximately normal with mean = 3.8 and standard deviation = 0.2
B) approximately normal with mean = 3.8 and standard deviation = 2
C) shape unknown with mean = 3.8 and standard deviation = 2
D) shape unknown with mean = 3.8 and standard deviation = 0.2
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The amount of money collected by a snack bar at a large university has been recorded daily for the past five years. Records indicate that the mean daily amount collected is $1950 and the standard deviation is $500. The distribution is skewed to the right due to several high volume days (including football game days). Suppose that 100 days were randomly selected from the five years and the average amount collected from those days was recorded. Which of the following describes the sampling distribution of the sample mean

A) normally distributed with a mean of $1950 and a standard deviation of $50
B) normally distributed with a mean of $1950 and a standard deviation of $500
C) normally distributed with a mean of $195 and a standard deviation of $50
D) skewed to the right with a mean of $1950 and a standard deviation of $500
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Describe the Sampling Distribution of a Sample Proportion
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Describe the Sampling Distribution of a Sample Proportion
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Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
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Describe the Sampling Distribution of a Sample Proportion
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Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
John has six bills of paper money in the following denominations: $1, $5, $10, $20, $50, and $100 If he selects 3 bills at a time what is the probability of selecting a group that has an average value of at least $26

A) 0.55
B) 0.50
C) 0.60
D) 0.45
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Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion  <div style=padding-top: 35px>
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Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
The ages of five randomly chosen cars in a parking garage are determined to be 7, 9, 3, 4, and 6 years old. If we consider this sample of 5 in groups of 3, what is the probability of the population mean falling between 5.5 and 6.5 years

A) 0.5
B) 0.4
C) 0.55
D) 0.6
Question
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
John has six bills of paper money in the following denominations: $1, $5, $10, $20, $50, and $100 If he selects 3 bills at a time what is the probability of selecting a group that has an average value of between $40 and $45

A) 0.15
B) 0.05
C) 0.25
D) 0.20
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Describe the Sampling Distribution of a Sample Proportion
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Compute Probabilities of a Sample Proportion
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Compute Probabilities of a Sample Proportion
Compute Probabilities of a Sample Proportion  <div style=padding-top: 35px>
Question
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
John has six bills of paper money in the following denominations: $1, $5, $10, $20, $50, and $100 If he selects 3 bills at a time what is the probability of selecting a group that has an average value of equal to or less than $25

A) 0.45
B) 0.86
C) 0.50
D) 0.35
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Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
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Describe the Sampling Distribution of a Sample Proportion
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Describe the Sampling Distribution of a Sample Proportion
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Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion  <div style=padding-top: 35px>
Question
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
The ages of five randomly chosen cars in a parking garage are determined to be 7, 9, 3, 4, and 6 years old. If we consider this sample of 5 in groups of 3, what is the probability of the population mean being more than 6 years

A) 0.4
B) 0.5
C) 0.1
D) 0.6
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Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion  <div style=padding-top: 35px>
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Describe the Sampling Distribution of a Sample Proportion
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Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion  <div style=padding-top: 35px>
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Compute Probabilities of a Sample Proportion
Compute Probabilities of a Sample Proportion  <div style=padding-top: 35px>
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Compute Probabilities of a Sample Proportion
The National Association of Realtors estimates that 23% of all homes purchased in 2004 were considered investment properties. If a sample of 800 homes sold in 2004 is obtained and it was noted that 248 homes were to be used as investment property, would this be unusual Answer Yes or No.

A) Yes
B) No
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Compute Probabilities of a Sample Proportion
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Compute Probabilities of a Sample Proportion
Compute Probabilities of a Sample Proportion  <div style=padding-top: 35px>
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Compute Probabilities of a Sample Proportion
The National Association of Realtors estimates that 23% of all homes purchased in 2004 were considered investment properties. If a sample of 800 homes sold in 2004 is obtained what is the probability that between 175 and 200 homes are going to be used as investment property

A) 0.1335
B) 0.9099
C) 0.7764
D) 0.2236
Question
Compute Probabilities of a Sample Proportion
Compute Probabilities of a Sample Proportion  <div style=padding-top: 35px>
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Deck 8: Sampling Distributions
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Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
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Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
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Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
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Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
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Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
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16
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
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19
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The number of violent crimes committed in a day possesses a distribution with a mean of 3.8 crimes per day and a standard deviation of 2 crimes per day. A random sample of 100 days was observed, and the mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample mean.

A) approximately normal with mean = 3.8 and standard deviation = 0.2
B) approximately normal with mean = 3.8 and standard deviation = 2
C) shape unknown with mean = 3.8 and standard deviation = 2
D) shape unknown with mean = 3.8 and standard deviation = 0.2
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20
Provide an appropriate response.
The amount of money collected by a snack bar at a large university has been recorded daily for the past five years. Records indicate that the mean daily amount collected is $1950 and the standard deviation is $500. The distribution is skewed to the right due to several high volume days (including football game days). Suppose that 100 days were randomly selected from the five years and the average amount collected from those days was recorded. Which of the following describes the sampling distribution of the sample mean

A) normally distributed with a mean of $1950 and a standard deviation of $50
B) normally distributed with a mean of $1950 and a standard deviation of $500
C) normally distributed with a mean of $195 and a standard deviation of $50
D) skewed to the right with a mean of $1950 and a standard deviation of $500
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21
Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion
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22
Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion
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23
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
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24
Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion
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25
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
John has six bills of paper money in the following denominations: $1, $5, $10, $20, $50, and $100 If he selects 3 bills at a time what is the probability of selecting a group that has an average value of at least $26

A) 0.55
B) 0.50
C) 0.60
D) 0.45
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26
Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion
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27
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
The ages of five randomly chosen cars in a parking garage are determined to be 7, 9, 3, 4, and 6 years old. If we consider this sample of 5 in groups of 3, what is the probability of the population mean falling between 5.5 and 6.5 years

A) 0.5
B) 0.4
C) 0.55
D) 0.6
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28
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
John has six bills of paper money in the following denominations: $1, $5, $10, $20, $50, and $100 If he selects 3 bills at a time what is the probability of selecting a group that has an average value of between $40 and $45

A) 0.15
B) 0.05
C) 0.25
D) 0.20
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29
Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion
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30
Compute Probabilities of a Sample Proportion
Compute Probabilities of a Sample Proportion
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31
Compute Probabilities of a Sample Proportion
Compute Probabilities of a Sample Proportion
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32
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
John has six bills of paper money in the following denominations: $1, $5, $10, $20, $50, and $100 If he selects 3 bills at a time what is the probability of selecting a group that has an average value of equal to or less than $25

A) 0.45
B) 0.86
C) 0.50
D) 0.35
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33
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
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34
Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion
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35
Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion
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36
Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion
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37
Describe the Distribution of the Sample Mean-Samples from a Population That Is Not Normal
The ages of five randomly chosen cars in a parking garage are determined to be 7, 9, 3, 4, and 6 years old. If we consider this sample of 5 in groups of 3, what is the probability of the population mean being more than 6 years

A) 0.4
B) 0.5
C) 0.1
D) 0.6
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38
Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion
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39
Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion
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40
Describe the Sampling Distribution of a Sample Proportion
Describe the Sampling Distribution of a Sample Proportion
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41
Compute Probabilities of a Sample Proportion
Compute Probabilities of a Sample Proportion
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42
Compute Probabilities of a Sample Proportion
The National Association of Realtors estimates that 23% of all homes purchased in 2004 were considered investment properties. If a sample of 800 homes sold in 2004 is obtained and it was noted that 248 homes were to be used as investment property, would this be unusual Answer Yes or No.

A) Yes
B) No
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43
Compute Probabilities of a Sample Proportion
Compute Probabilities of a Sample Proportion
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44
Compute Probabilities of a Sample Proportion
Compute Probabilities of a Sample Proportion
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45
Compute Probabilities of a Sample Proportion
The National Association of Realtors estimates that 23% of all homes purchased in 2004 were considered investment properties. If a sample of 800 homes sold in 2004 is obtained what is the probability that between 175 and 200 homes are going to be used as investment property

A) 0.1335
B) 0.9099
C) 0.7764
D) 0.2236
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46
Compute Probabilities of a Sample Proportion
Compute Probabilities of a Sample Proportion
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