1) Are the following questions true or false? - Non-random sampling methods, suc
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Question
1) Are the following questions true or false?
- Non-random sampling methods, such as convenience sampling, are more likely to produce bias in statistical results than are results from simple random sampling.
- Predicting a presidential candidate's percent of the statewide vote from a sample of 800 voters would be an example of inferential statistics.
- The mean is useful as a measure of center because it is easy to compute but the median is more robust to (less impacted by) extreme values.
-The coefficient of variation is a measure of the relationship between two variables.
- Seasonality is likely to be part of the monthly sales data of Best Buy (retail electronics store). Use of the 12-month percent change would eliminate the seasonality.
- Chebychev’s inequality applies only to normally distributed data and says that at least 99 percent of the data lie within 2 standard deviations of the mean.
- The “Empirical Rule” based on the normal distribution says that 95.44% of the observations will lie within 2 standard deviations of the mean.
- According to Sturges’ rule, doubling the sample size (x 2) should quadruple (x 4) the number of bins used in a histogram.
- Two events, A and B, are independent if the probability that both occur (A B is the product of the individual probabilities (P(A) * P(B)).
- The probability of (A U B) can be smaller than the probability of (A B).
Explanation / Answer
1.
A. - Non-random sampling methods, such as convenience sampling, are more likely to produce bias in statistical results than are results from simple random sampling. Yes one of the reason for using simple random sampling is because it gives unbiased estimators. So answer is True.
- Predicting a presidential candidate's percent of the statewide vote from a sample of 800 voters would be an example of inferential statistics. Inferential statistics means we predict or generalise from the sample as here we do so answer isTrue
- The mean is useful as a measure of center because it is easy to compute but the median is more robust to (less impacted by) extreme values. Yes as median depends on position but mean depends on all data. Hence answer is True.
-The coefficient of variation is a measure of the relationship between two variables. R^2 value measures the percentage of variation in the values of the dependent variable that can be explained by independent variables. Hence answer is False.
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