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Questions and Answers

(159 solutions)

The sampling distribution of a statistic is (select the best answer):

Good job! This is simply the explanation of what the sampling distribution of a statistic is. None of the others are correct....

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Which one of the following is true regarding the standard deviation of the sampling distribution of the sample proportion, p-hat, of "yes" responses?

   The standard deviation of the sampling distribution will be 3 times larger with sample size 100.For a sample size of 100, the sampling distribution of p-hat is: p(1−p)100−−−−−√p(1−p)100 . For a sample of size 900, the sampling distribution of p-hat is: p(1−p)900−−−−−√p(1−...

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The next three questions refer to the following information:

A social scientist wishes to conduct a survey. She plans to ask a yes/no 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-hat, of "yes" responses?

   The sample proportion from the sample of 900 is more likely to be close to the true population proportion, p.Good job! The larger the sample size, the closer we expect the sample proportion to be to the true population proportion. Intuitively, this makes sense, since the larger the samp...

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The next three questions refer to the following information:

A social scientist wishes to conduct a survey. She plans to ask a yes/no 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.

Question 2 of 6

Question 2

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Which of the following is true regarding the sample proportion p-hat, of "yes" responses?

The sample proportion from the sample of 900 is more likely to be close to the true population proportion, p.Good job! The larger the sample size, the closer we expect the sample proportion to be to the true population proportion. Intuitively, this makes sense, since the larger the sample, the more ...

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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?

   30%, 63%, and 7% are all statistics.Good job! Since the survey results are obtained from the sample, these are all statistics. Due to sampling variability, if we were to take a different sample of the same size we would not expect to get the same sample results....

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The graph below displays four normal distributions labeled (a) through (d).


A parabola graph with an X axis only.  The range on the X axis is 10-40.  This graph shows four curves labelled a, b, c, and d.  Curve a starts at 10, with a peak at 20, and a decline that ends at 30.  Curve b starts at about 18, with a peak at 25, and a decline that ends at about 32.  Curve c starts at about 26, with a peak at 30, and a decline that ends at 40.


Suppose that distribution (b) is a normal distribution with mean μ=25 and standard deviation σ=2. 

Based on this information, answer the following questions.

03

Question 3

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What is the mean of distribution d? 

30...

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Probability density curves 

May have any shape imaginable.

Correct! These curves can be skewed left, skewed right, or take on a bell shape. Great job!...

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he instructor wanted to "pass" anyone who scored above 69. What proportion of exams will have passing scores?

.7734Good job! Let the random variable X represent the score on the exam. We are given that X is normal with a mean of 75 and standard deviation of 8, and need to find P(X < 69). ...

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The remaining questions refer to the following information:

Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points.

Suppose that the top 4% of the exams will be given an A+. In order to be given an A+, an exam must earn at least what score?6173.5167789Good job! We need to find the exam score such that the probability of getting a score above it is 0.04. Equivalently (and more practical, given the way ou...

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Color-blindness is any abnormality of the color vision system that causes a person to see colors differently than most people or to have difficulty distinguishing among certain colors (www.visionrx.xom).

Color-blindness is gender-based, with the majority of sufferers being males.

Roughly 8% of white males have some form of color-blindness, while the incidence among white females is only 1%.

A random sample of 20 white males and 40 white females was chosen.

Let X be the number of males (out of the 20) who are color-blind.

Let Y be the number of females (out of the 40) who are color-blind.

Let Z be the total number of color-blind individuals in the sample (males and females together).

Which of the following is true regarding the random variables X and Y?

Neither X nor Y can be well-approximated by a normal random variable. A binomial random variable will be well-approximated by a normal random variable if the following two conditions hold: n * p ≥ 10 and n * (1 - p) ≥ 10. In our case, for X, n = 20, p = 0.08, and 20 * 0.08 < 10 → cannot...

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