Question 1

For values from a data set, when we take the value, subtract the mean, and then divide by the standard deviation, we create new values called which of the following??

Accepted Answer

A)  Scaled normal deviate 
B)  Scaled normal value 
C)  Standard normal deviate 
D)  Standard normal value 
A)  Scaled normal deviate 
B)  Scaled normal value 
C)  Standard normal deviate 
D)  Standard normal value C

Question 2

Crossbill finches have beaks that overlap with the top beak to one side or the other of the lower beak. Most populations have 50:50 ratios of "right-handed" and "left-handed" beaks, and the handedness of the beaks is thought to be randomly determined, so we expect to see equal numbers of right-handed and left-handed finches. Consider a survey of 140 crossbill finches, which reveals 84 with right beaks and 56 with left beaks. What is the P-value of a two-sided binomial test using the normal distribution to approximate the binomial?

Accepted Answer

A)  0.015 
B)  0.020 
C)  0.023 
D)  0.033 
A)  0.015 
B)  0.020 
C)  0.023 
D)  0.033 C

Question 3

Imagine a population consisting of 1,500 values that are normally distributed around a mean of 60, which exhibits a standard deviation of 8. Which value below is closest to the IQR for the population?

Accepted Answer

A)  8.0 
B)  8.6 
C)  10.2 
D)  10.8 
A)  8.0 
B)  8.6 
C)  10.2 
D)  10.8 D

Question 4

For a normal distribution, the IQR is larger than two standard deviations.

Accepted Answer

A) True 
 B)False

Question 5

Explain why we should use a correction for continuity when using the normal distribution to model the binomial distribution.

Accepted Answer

When using the normal distribution to mo

Question 6

Explain the primary benefit of using the normal distribution to model the binomial distribution when calculating P-values.

Accepted Answer

The primary benefit of using the normal

Question 7

Crossbill finches have beaks that overlap with the top beak to one side or the other of the lower beak. Most populations have 50:50 ratios of "right-handed" and "left-handed" beaks, and the handedness of the beaks is thought to be randomly determined, so we expect to see equal numbers of right-beak and left-beak finches. Consider a survey of 140 crossbill finches, which reveals 82 with right beaks and 58 with left beaks. What is the conclusion of a two-sided binomial test using the normal distribution to approximate the binomial?

Accepted Answer

A)  Fail to reject null hypothesis, we lack evidence that the handedness of the beaks is non-random. 
B)  Fail to reject null hypothesis, we have evidence that the handedness of the beaks is non-random. 
C)  Reject null hypothesis, we lack evidence that the handedness of the beaks is non-random. 
D)  Reject null hypothesis, we have evidence that the handedness of the beaks is non-random. 
A)  Fail to reject null hypothesis, we lack evidence that the handedness of the beaks is non-random. 
B)  Fail to reject null hypothesis, we have evidence that the handedness of the beaks is non-random. 
C)  Reject null hypothesis, we lack evidence that the handedness of the beaks is non-random. 
D)  Reject null hypothesis, we have evidence that the handedness of the beaks is non-random.

Question 8

The values in normal distribution tables correspond to the probability that the value indicated will be chosen in a random sample.

Accepted Answer

A) True 
 B)False

Question 9

Consider a population of 900 values that are normally distributed with a mean of 90 and standard deviation of 6. To the nearest integer, how many values are less than 93?

Accepted Answer

A)  562 
B)  582 
C)  622 
D)  692 
A)  562 
B)  582 
C)  622 
D)  692

Question 10

Carlos says that he thinks that while humans are more right-handed than left-handed, the same probably isn't true for gorillas. Luis disagrees and says they probably are asymmetric too, but maybe they're more left-handed. Imagine they collect handedness data for 60 gorillas based on videos of the gorillas eating and 39 of the gorillas appear to be right-handed. Use the normal distribution to approximate the binomial distribution to answer this question. Does the data support Carlos or Luis? As part of your answer, present the test statistic and the P-value it corresponds to.

Accepted Answer

To determine whether the data supports C

Question 11

The central limit theorem states that the means of a large number of samples from a population is approximately normally distributed.

Accepted Answer

A) True 
 B)False

Question 12

Imagine a population consisting of 1,500 values that are normally distributed around a mean of 60, which exhibits a standard deviation of 8. What population value is larger than exactly 40% of the population?

Accepted Answer

A)  57.06 
B)  57.36 
C)  57.66 
D)  57.96 
A)  57.06 
B)  57.36 
C)  57.66 
D)  57.96

Question 13

Which of the following is not a good rule of thumb for data values exhibiting a normal distribution?

Accepted Answer

A)  Approximately 95% of the values lie within two standard deviations of the mean. 
B)  Approximately two-thirds of the values lie within one standard deviation of the mean. 
C)  Exactly half of the values lie at or above the mean. 
D)  Exactly half of the values lie within one standard deviation of the mean. 
A)  Approximately 95% of the values lie within two standard deviations of the mean. 
B)  Approximately two-thirds of the values lie within one standard deviation of the mean. 
C)  Exactly half of the values lie at or above the mean. 
D)  Exactly half of the values lie within one standard deviation of the mean.

Question 14

For the equation for a normal distribution shown, what are the mean and standard deviation?
?
$f(x)=\frac{1}{\sqrt{32 \pi}} e^{\frac{-(x-40)^{2}}{32}}$

Accepted Answer

A)  Mean = 40, variance = 4 
B)  Mean = 40, variance = 8 
C)  Mean = 40, variance = 16 
D)  Mean = 40, variance = 24 
A)  Mean = 40, variance = 4 
B)  Mean = 40, variance = 8 
C)  Mean = 40, variance = 16 
D)  Mean = 40, variance = 24

Question 15

For a population of 240 values that exhibit a normal distribution in which the mean is 75 and the variance is 11, answer the following questions. What are the mean, median, mode, standard deviation, coefficient of variation, and IQR? How many values are between 76 and 80 and how many are larger than 90?

Accepted Answer

The mean of the population is given as 7

Question 16

Using the normal distribution instead of the exact binomial distribution is slightly more accurate when sample sizes get very large.

Accepted Answer

A) True 
 B)False

Question 17

When mating two heterozygotes for alleles in which one is dominant to the other, if the usual Mendelian segregation process is occurring, the ratio of the offspring phenotypes produced should be 3:1. The dominant phenotype would be more common than the recessive one. Imagine a situation in which two heterozygotes are mated and among their 200 offspring, 160 show the dominant phenotype while 40 show the recessive phenotype. What is the conclusion of a two-sided binomial test using the normal distribution to approximate the binomial?

Accepted Answer

A)  Fail to reject null hypothesis, we lack evidence that anything other than usual Mendelian segregation is occurring. 
B)  Fail to reject null hypothesis, we have evidence that something other than usual Mendelian segregation is occurring. 
C)  Reject null hypothesis, we lack evidence that anything other than usual Mendelian segregation is occurring. 
D)  Reject null hypothesis, we have evidence that something other than usual Mendelian segregation is occurring. 
A)  Fail to reject null hypothesis, we lack evidence that anything other than usual Mendelian segregation is occurring. 
B)  Fail to reject null hypothesis, we have evidence that something other than usual Mendelian segregation is occurring. 
C)  Reject null hypothesis, we lack evidence that anything other than usual Mendelian segregation is occurring. 
D)  Reject null hypothesis, we have evidence that something other than usual Mendelian segregation is occurring.

Question 18

For a population of 180 values that exhibit a normal distribution in which the mean is 20 and the variance is 6, answer the following questions. What are the mean, median, mode, standard deviation, coefficient of variation, and IQR? How many values are between 18 and 22 and how many are larger than 25?

Accepted Answer

The mean of the population is 20, as giv

Question 19

For a set of samples taken from a normally distributed population, which of the following is not generally true?

Accepted Answer

A)  The distribution of sample means is centered around the population mean. 
B)  The distribution of sample means is normal. 
C)  The distribution of sample means is wider for larger population variances. 
D)  The distribution of sample means is wider for larger sample sizes. 
A)  The distribution of sample means is centered around the population mean. 
B)  The distribution of sample means is normal. 
C)  The distribution of sample means is wider for larger population variances. 
D)  The distribution of sample means is wider for larger sample sizes.

Question 20

For the equation for a normal distribution shown, what are the mean and variance?
?
$f(x)=\frac{1}{\sqrt{32 \pi}} e^{\frac{-(x-16)^{2}}{32}}$

Accepted Answer

A)  Mean = 4, variance = 4 
B)  Mean = 4, variance = 16 
C)  Mean = 16, variance = 4 
D)  Mean = 16, variance = 16 
A)  Mean = 4, variance = 4 
B)  Mean = 4, variance = 16 
C)  Mean = 16, variance = 4 
D)  Mean = 16, variance = 16

For values from a data set, when we take the value, subtract the mean, and then divide by the standard deviation, we create new values called which of the following??

Imagine a population consisting of 1,500 values that are normally distributed around a mean of 60, which exhibits a standard deviation of 8. Which value below is closest to the IQR for the population?

For a normal distribution, the IQR is larger than two standard deviations.

Explain why we should use a correction for continuity when using the normal distribution to model the binomial distribution.

Explain the primary benefit of using the normal distribution to model the binomial distribution when calculating P-values.

The values in normal distribution tables correspond to the probability that the value indicated will be chosen in a random sample.

Consider a population of 900 values that are normally distributed with a mean of 90 and standard deviation of 6. To the nearest integer, how many values are less than 93?

The central limit theorem states that the means of a large number of samples from a population is approximately normally distributed.

Imagine a population consisting of 1,500 values that are normally distributed around a mean of 60, which exhibits a standard deviation of 8. What population value is larger than exactly 40% of the population?

Which of the following is not a good rule of thumb for data values exhibiting a normal distribution?

For the equation for a normal distribution shown, what are the mean and standard deviation? ? $f(x)=\frac{1}{\sqrt{32 \pi}} e^{\frac{-(x-40)^{2}}{32}}$

Using the normal distribution instead of the exact binomial distribution is slightly more accurate when sample sizes get very large.

For a set of samples taken from a normally distributed population, which of the following is not generally true?

For the equation for a normal distribution shown, what are the mean and variance? ? $f(x)=\frac{1}{\sqrt{32 \pi}} e^{\frac{-(x-16)^{2}}{32}}$

Statistics and Samples

Displaying Data

Describing Data

Estimating With Uncertainty

Probability

Hypothesis Testing

Analyzing Proportions

Fitting Probability Models to Frequency Data

Contingency Analysis: Associations Between

Inference for a Normal Population

Comparing Two Means

Handling Violations of Assumptions

Designing Experiments

Comparing Means of More Than Two Groups

Correlation Between Numerical Variables

Regression

Multiple Explanatory Variables

Computer-Intensive Methods

Likelihood

Meta-Analysis: Combining Information From

Filters

Exam 10: The Normal Distribution

For values from a data set, when we take the value, subtract the mean, and then divide by the standard deviation, we create new values called which of the following??

Imagine a population consisting of 1,500 values that are normally distributed around a mean of 60, which exhibits a standard deviation of 8. Which value below is closest to the IQR for the population?

For a normal distribution, the IQR is larger than two standard deviations.

Explain why we should use a correction for continuity when using the normal distribution to model the binomial distribution.

Explain the primary benefit of using the normal distribution to model the binomial distribution when calculating P-values.

The values in normal distribution tables correspond to the probability that the value indicated will be chosen in a random sample.

Consider a population of 900 values that are normally distributed with a mean of 90 and standard deviation of 6. To the nearest integer, how many values are less than 93?

The central limit theorem states that the means of a large number of samples from a population is approximately normally distributed.

Imagine a population consisting of 1,500 values that are normally distributed around a mean of 60, which exhibits a standard deviation of 8. What population value is larger than exactly 40% of the population?

Which of the following is not a good rule of thumb for data values exhibiting a normal distribution?

For the equation for a normal distribution shown, what are the mean and standard deviation? ? f(x)=132πe−(x−40)232f(x)=\frac{1}{\sqrt{32 \pi}} e^{\frac{-(x-40)^{2}}{32}}f(x)=32π​1​e32−(x−40)2​

Using the normal distribution instead of the exact binomial distribution is slightly more accurate when sample sizes get very large.

For a set of samples taken from a normally distributed population, which of the following is not generally true?

For the equation for a normal distribution shown, what are the mean and variance? ? f(x)=132πe−(x−16)232f(x)=\frac{1}{\sqrt{32 \pi}} e^{\frac{-(x-16)^{2}}{32}}f(x)=32π​1​e32−(x−16)2​

Statistics and Samples

Displaying Data

Describing Data

Estimating With Uncertainty

Probability

Hypothesis Testing

Analyzing Proportions

Fitting Probability Models to Frequency Data

Contingency Analysis: Associations Between

Inference for a Normal Population

Comparing Two Means

Handling Violations of Assumptions

Designing Experiments

Comparing Means of More Than Two Groups

Correlation Between Numerical Variables

Regression

Multiple Explanatory Variables

Computer-Intensive Methods

Likelihood

Meta-Analysis: Combining Information From

Filters

For the equation for a normal distribution shown, what are the mean and standard deviation? ? $f(x)=\frac{1}{\sqrt{32 \pi}} e^{\frac{-(x-40)^{2}}{32}}$

For the equation for a normal distribution shown, what are the mean and variance? ? $f(x)=\frac{1}{\sqrt{32 \pi}} e^{\frac{-(x-16)^{2}}{32}}$