Circle your answer in each of the following True False questions: If a distribut

Question

Circle your answer in each of the following True False questions: If a distribution is left-skewed, the mode is on the right of the mean. The mean height of 50 randomly selected Industrial Engineering students .at Kadir Has University is a statistic. The parameter estimation error decreases as the standard deviation is increased with the same sample size and confidence level. If a student scored at the 1st quartile in a statistics exam, this means that 75% of the students who took the exam scored worse than this student. If a 95% confidence interval for the mean w as computed as (10,15], then if several more samples were taken with the same sample size, then 95% of them would have a sample mean between 10 and 15. A biased estimator can never have a smaller variance than an unbiased estimator. The prediction interval for a future observation from a normal distribution is always longer than the confidence interval for the population mean. The least squares estimators for the slope and intercept of a simple linear regression model are biased. In a hypothesis test, increasing the sample size reduces the Type I error probability, but increases the Type II error probability. If the P-value of a hypothesis test is greater than the Type I error probability, then the null hypothesis is rejected. The power of a hypothesis test decreases as the true value of the parameter of interest approaches the hypothesized value. Goodness-of-fit test can be used to test the hypothesis that a particular distribution will be satisfactory as a population model, when the population distribution is unknown.

Explanation / Answer

1) true

2) true

3) true

4) false

5) false

6) true

7) true

8) false

9) false

10) false

11) true

12) true

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