CORRECT ANSWERS
Doubling the size of the sample will - correct answer reduce the standard error of the mean
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The sample mean is the point estimator of - correct answer U
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A simple random sample of size n from an infinite population of size N is to be selected. Each possible sample
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should have - correct answer the same probability of being selected
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Which of the following statements regarding the sampling distribution of sample means is incorrect? - correct
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answer The standard deviation of the sampling distribution is the standard deviation of the population.
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A simple random sample of size n from an infinite population is a sample selected such that - correct answer
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each element is selected independently and is selected from the same population
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The fact that the sampling distribution of sample means can be approximated by a normal probability
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distribution whenever the sample size becomes large is based on the - correct answer central limit theorem.
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,Cluster sampling is - correct answer a probability sampling method.
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The central limit theorem states that - correct answer if the sample size n is large, then the sampling distribution
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of the sample mean can be approximated by a normal distribution.
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The value of the _____ is used to estimate the value of the population parameter - correct answer sample
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statistic
The sampling distribution of is the - correct answer probability distribution of all possible values of the sample
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proportion.
Which of the following is not a symbol for a parameter? - correct answer S.
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The sample statistic characteristic s is the point estimator of - correct answer σ..
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The distribution of values taken by a statistic in all possible samples of the same size from the same population
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is called a - correct answer sampling distribution.
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Which of the following is a point estimator? - correct answer S.
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As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal
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probability distribution when - correct answer n(1 - p) ≥ 5 and np ≥ 5. t t t t t t t t t t t t t t
A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximately
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- correct answer normal because of the central limit theorem.
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The central limit theorem is important in Statistics because it enables reasonably accurate probabilities to be
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determined for events involving the sample average - correct answer when the sample size is large regardless
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of the distribution of the variable.
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, The distribution of values taken by a statistic in all possible samples of the same size from the same population
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is the sampling distribution of - correct answer The sample
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Which of these best describes a sampling distribution of a statistic? - correct answer It is the distribution of all of
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the statistics calculated from all possible samples of the same sample size.
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The probability distribution of all possible values of the sample proportion is the - correct answer sampling
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distribution of p. t t
For a fixed confidence level and population standard deviation, if we would like to cut our margin of error in half,
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we should take a sample size that is - correct answer four times as large as the original sample size.
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We can reduce the margin of error in an interval estimate of p by doing any of the following except - correct
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answer increasing the planning value p* to .5. t t t t t t t
When computing the sample size needed to estimate a proportion within a given margin of error for a specific
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confidence level, what planning value of p should be used when no estimate of p is available? - correct answer
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0.50
A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do
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as many pushups as they could. The 10 randomly selected students averaged 15 pushups per person with a
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standard deviation of 9 pushups. Suppose the distribution of the population of number of pushups that can be
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done is approximately normal. Which of the following statements is true? - correct answer A t distribution
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should be used because σ is unknown. t t t t t t
The z value for a 99% confidence interval estimation is - correct answer 2.58
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In an interval estimation for a proportion of a population, the critical value of z at 99% confidence is - correct
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answer 2.576. t
In interval estimation, as the sample size becomes larger, the interval estimate - correct answer becomes
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narrower.In general, higher confidence levels provide larger confidence intervals. t t t t t t t t