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Untitled_3
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- 1The sampling distribution of the sample mean ismay be considered as the distribution of the statistic for all possible samples of a given size
- 2Let x be the population consisting of all students enrolled at your school this semester. The average age of all students enrolled in this class can be best described asSample Statistic
- 3Sample proportions and sample means are random variables becauseSample proportions and sample means can only take on a finite number of values.
- 4—probability distribution of the sample mean
- 5The sampling distribution of the sample means must containall possible samples of a given size.
- 6PPopulation Proportion
- 7F (with the hat on it)Sample Proportion
- 8What is the relationship between P and F?the population proportion for sufficiently large sample sizes (n).
- 9If the population mean is $165.20, what is the expected value of the sampling distribution?165.20
Population mean = expected sampling distribution - 10There are 7 employees who work at Rendall Marketing Solutions. Their ages are 27, 35, 29, 45, 52, 35, and 39. What is the expected value of the sampling distribution for all samples of size 2?37.4
- 11Consider a population of 4 individuals. All samples of size were drawn from the population and had the following sample averages 4, 7, 4, 3, 5, and 6. What is the population mean?4.83
- 12The sampling distribution of the sample proportion has a standard deviation of
- 13The sampling distribution of the sample proportion has a variance and standard deviation of
- 14Why is the variance of a statistic smaller than the variance of the underlying populationthe variance of a statistic is based on averaging sample means, which eliminates extreme values.
- 15Suppose that 40% of all people in a certain population have green eyes. In selecting a random sample of size 100 people from this population, the sampling distribution of the sample proportion (F hat) isapproximately normal with mean 0.40 and standard deviation of (Square root of .0024)
- 16If the sampled population has a normal distribution, when is the sampling distribution of the sample mean (X-Bar) also a normal distribution?Always.
Sample population that is normally distributed = sample mean normally distributed. - 17As the sample size increases, the sampling distribution of the sample mean approaches aNormal Distribution
- 18central limit theorem, if samples of size 100 are drawn from a population with a mean of 85, the mean of all sample means would equal85
- 19The Central Limit Theorem states that if a sample size n is sufficiently large (say, at least 30), thenthe sampling distribution of (X-Bar) is approximately normal.
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- Flashcards on Untitled_3, created by alistairewart on 17/11/2013.
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