In: Statistics and Probability
Question 12 pts
Which of the following statements is true regarding the normal distribution?
The mean and the median are roughtly equal to one another |
The mean is always greater than the median |
The mean is always less than the median |
The mean is always 1 |
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Question 22 pts
A smaller standard deviation for the normal probability distribution results in
flatter curve that is more spread out around the mean |
skinnnier, taller curve that is more tightly grouped around the mean |
a distribution that looks identical to one with a larger standard deviation |
a curve that is uniformly distributed |
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Question 32 pts
Which is true regarding the z-score for a value that falls below the mean?
It will have a positive z-score |
It will have a negative z-score |
It will have a z-score of exactly 0 |
We do not know anything about that z-score until we calculate it |
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Question 42 pts
In _____________ sampling, the kth member of the population is chosen for the sample.
systematic |
simple random |
non probability |
cluster |
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Question 52 pts
Deanna has been hired to visit the local shopping mall to conduct a survey about the upcoming political election. She needs to select respondents at the mall and ask them questions about their voting tendencies. Voting records show that 50% of the population are registered as republicans, 35% as Democrats, and the remaining as Independents. Deanna wants to be sure that her final sample has a similar proportion of voters. Which of the following sampling techniques best describes Deanna's methods?
cluster |
convenience |
simple random |
stratified |
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Question 62 pts
The Central Limit Theorem requires _______________________________
the population be normally distributed to ensure that the sample means are normally distributed |
the bootstrap method be used to select the sample |
a sample size of at least 30 be used to ensure that the samples means are normally distributed |
the sample size to be less than 5% of the size of the population |
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Question 72 pts
As the sample size increases
the standard error becomes smalller |
the sampling error increases |
the population standard deviation increases |
the standard error becomes larger |
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Question 82 pts
The purpose of the finite corretion factor for the standard error of the mean is to reflect the fact that the
sampling error is higher for a finite population when compared to an infinite population |
sampling error is lower for a finite population when compared to an infinite population |
sample size is not at least 30 |
the population standard deviation is higher |
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Question 92 pts
The sampling distribution of the proportion follows the normal distribution when
n is at least 30 |
n/N is at least 5% |
np >= 5 and n(1-p) >=5 |
N is infinite |
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Question 102 pts
Increasing the sample size when calculating a confidence interval while keeping the confidence level constant will
reduce the margin of error, resulting in a more narrow confidence interval |
increase the margin of error |
result in no change to the margin of error |
reduce the margin of error, resulting in a wider confidence interval |
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Question 112 pts
A ________________ is defined as the probability that the interval will include the population parameter of interest.
margin of error |
confidence level |
level of significance |
standard error |
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Question 122 pts
As the confidence level increases the width of the confidence interval ______________.
increases |
decreases |
stays the same |
doubles |
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Question 132 pts
The pvalue for a hypothesis test is defined as the probability of observing a ____________________________________.
critcal value at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is true |
critcal value at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is false |
sample mean at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is true |
sample mean at least as extreme as the one selected for the hypothesis test, assuming the null hypothesis is false |
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Question 142 pts
The probability of a Type I Error is denoted by ____________.
Alpha |
Beta |
Sigma |
Mu |
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Question 152 pts
We start out with the assumption that the __________ hypothesis is correct and see if we have proof to the contrary.
Alternate |
Null |
Upper Tailed |
Significant |
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Question 162 pts
Which of the following could NOT be a an example of an Alternative Hypothesis?
H1: u < 25 |
H1: u > 25 |
H1: u = 25 |
H1: u /= 25 |
Q)Which of the following statements is true regarding the normal distribution?
ANS: The mean and the median are roughly equal to one another.
Q)A smaller standard deviation for the normal probability distribution results in
ANS: skinnier, taller curve that is more tightly grouped around the mean
Q)Which is true regarding the z-score for a value that falls below the mean?
ANS: It will have a negative z-score
Q)In _____________ sampling, the kth member of the population is chosen for the sample.
ANS: systematic
Q).Which of the following sampling techniques best describes Deanna's methods?
ANS: stratified
Q).The Central Limit Theorem requires
ANS: a sample size of at least 30 be used to ensure that the samples means are normally distributed
Q).As the sample size increases
ANS:the population standard deviation increases
Q).The purpose of the finite correction factor for the standard error of the mean is to reflect the fact that the
ANS: sampling error is lower for a finite population when compared to an infinite population.
Q).The sampling distribution of the proportion follows the normal distribution when
ANS: np >= 5 and n(1-p) >=5
Q) Increasing the sample size when calculating a confidence interval while keeping the confidence level constant will
ANS:reduce the margin of error, resulting in a more narrow confidence interval
Q) The probability of a Type I Error is denoted by ____________.
ANS: Alpha (α )