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In: Statistics and Probability

Question 12 pts Which of the following statements is true regarding the normal distribution? The mean...

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

Solutions

Expert Solution

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 )


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