Question: Mark T (True) or F (False)

1. \((\mathrm{T}, \mathrm{F}) \mathrm{A}\) statistic is a characteristic of the population. Therefore, it is a fixed number.
2. \((\mathrm{T}, \mathrm{F})\) When the distribution is right skewed, the mean is in general greater than the median.
3. \((\mathrm{T}, \mathrm{F})\) When the correlation of two random variables is 0, these two random variables are independent.
4. \((\mathrm{T}, \mathrm{F})\) The sample mean is an unbiased estimator of the population mean, regardless of the population distribution.
5. \((\mathrm{T}, \mathrm{F})\) When calculated from the same sample, \(95 \%\) confidence interval is shorter than \(99 \%\) confidence interval.
6. \((\mathrm{T}, \mathrm{F})\) The probability density function of a continuous random variable should be less than or equal to 1 .
7. \((\mathrm{T}, \mathrm{F}) \mathrm{A}\) method of moment estimator is unique.
8. \((\mathrm{T}, \mathrm{F}) \mathrm{IQR}\) is the difference between 80 percentile and 20 percentile.
9. \((\mathrm{T}, \mathrm{F}) \mathrm{t}\) distribution goes to a standard normal distribution as the degree of freedom \(n\) increases.
10. (T, F) Mean and standard deviation are very sensitive to outliers.

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