Question
1)In June 2005, a survey was conducted in which a random sample of 1,464 U.S. adults was asked the following question: In 1973 the Roe
1)In June 2005, a survey was conducted in which a random sample of 1,464 U.S. adults was asked the following question: "In 1973 the Roe versus Wade decision established a woman's constitutional right to an abortion, at least in the first three months of pregnancy. Would you like to see the Supreme Court completely overturn its Roe versus Wade decision, or not?"
The results were: Yes?30%, No?63%, Unsure?7% (Source: www.Pollingreport.com)
Which of the following is true about this scenario?
Group of answer choices
a)30%, 63%, and 7% are all parameters.
b)30%, 63%, and 7% are all statistics.
c)If another random sample of size 1,464 U.S. adults were to be chosen, we would expect to get the exact same distribution of answers.
2)A social scientist wishes to conduct a survey. She plans to ask a yeso question to a random sample from the U.S. adult population. One proposal is to select 100 people; another proposal is to select 900 people.
Which of the following is true regarding the sample proportion p? of "yes" responses?
Group of answer choices
a)The sample proportion from the sample of 900 is more likely to be close to the true population proportion, p.
b)The sample proportion from sample of 100 is more likely to be close to the true population proportion, p.
c)The sample proportion in either proposal is equally likely to be close to the true population proportion, p, since the sampling is random.
A social scientist wishes to conduct a survey. She plans to ask a yeso question to a random sample from the U.S. adult population. One proposal is to select 100 people; another proposal is to select 900 people.
3)If the study were conducted repeatedly (selecting different samples of people each time), which one of the following would be true regarding the resulting sample proportions of "yes" responses?
Group of answer choices
a)For either sample size, using the same size each time, as long as the sampling is done with replacement, their mean would be 0.
b)Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.
c)Different sample proportions would result each time, but for sample size 100 they would be centered (have their mean) at the true population proportion, whereas for sample size 900 they would not.
d)Different sample proportions would result each time, but for sample size 900 they would be centered (have their mean) at the true population proportion, whereas for sample size 100 they would not.
4)A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate. One plan is to select 400 voters, another plan is to select 1,600 voters.
Which one of the following is true regarding the standard deviation of the sampling distribution of the sample proportion, p?, of "yes" responses?
Group of answer choices
a)The standard deviation of the sampling distribution will be 4 times smaller with sample size 400.
b)The standard deviation of the sampling distribution will be 4 times larger with sample size 400.
c)The standard deviation of the sampling distribution will be 2 times smaller with sample size 400.
d)The standard deviation of the sampling distribution will be 2 times larger with sample size 400.
e)The standard deviation of the sampling distribution will be the same for both sample sizes.
5)Which of the following best describes the sampling distribution of a statistic?
Group of answer choices
a)A distribution of all parameters from the population that is to be randomly sampled.
b)The mechanism that determines whether the random sampling was effective.
c)A distribution of a single statistic from repeated random samples of the same size, from the same population.
d)A distribution of all possible summary statistics from a single random sample, from the same population.
e)A normal curve, for which probabilities are obtained by standardizing.
6)Which of the following statements about the sampling distribution of the sample mean, x-bar, is true? Check all that apply.
Group of answer choices
a)The distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough.
b)The distribution is normal regardless of the sample size, as long as the population distribution is normal.
c)The distribution's mean is the same as the population mean.
d)The distribution's standard deviation is smaller than the population standard deviation.
Pictured below (in scrambled order) are three histograms. One of them represents a population distribution. The other two are sampling distributions of x-bar: one for sample size n = 5 and one for sample size n = 30. (Please see uploaded photo graph)
Based on the histograms, what is the most likely value of the population mean?
Group of answer choices
a)0.5
b)3.0
c)4.5
d)7.5
e)350
Suppose that a candy company packages a bag of jelly beans whose weight is supposed to be 30 grams, but in fact, the weight varies from bag to bag according to a normal distribution with mean ? = 30 grams and standard deviation ? = 3 grams.
8)If the company sells the jelly beans in packs of 9 bags, what can we say about the likelihood that the average weight of the bags in a randomly selected pack is 2 or more grams lighter than advertised?
Group of answer choices
a)There is about a 16% chance of this occurring.
b)There is no way to evaluate this likelihood, since the sample size (n = 9) is too small.
c)There is about a 2.5% chance of this occurring.
d)There is about a 5% chance of this occurring.
e)It is extremely unlikely for this to occur; the probability is very close to 0.
9)When the population is not normally distributed, the sampling distribution of the mean approximates which of the following?
Group of answer choices
a)A normal distribution given a large enough sample
b)A distribution that is not normal
c)A normal distribution
d)A slight positive skew
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