# True or False about probability error

Please state which of the below statements are true or false, and explain briefly why

10. For a continuous distribution, the exact probability of a particular value is always zero. (

11. You cannot make a Type I error when the null hypothesis is true. (Ch9)

12. In a regression model, a value of the error term depends upon other values of the error term.

© BrainMass Inc. brainmass.com October 17, 2018, 3:09 am ad1c9bdddfhttps://brainmass.com/statistics/probability/true-false-probability-error-410993

#### Solution Preview

Please state which of the below statements are true or false, and explain briefly why

10. For a continuous distribution, the exact probability of a ...

#### Solution Summary

The expert examines true and false for probability error.

13 Probability Statements: True or False?

Based on Questions tell whether True or False

1. For any normal distribution exactly 97.50% of the z-score values are less than z=1.96.

2. For any normal distribution, the proportion located between the mean and z=1.40 is 0.9192.

3. When determining the probability of selecting a score that is below the mean, you will get a negative value for probability.

4. It is possible for the distribution of sample means to be normal even if it is based on samples with less than n=30.

5. If a sample of at least 30 scores is randomly selected from a normal population, the sample mean will be equal to the population mean.

6. In order for the distribution of a sample means to be normal, it must be based on samples of at least n=30 scores.

7. If samples are selected from a normal population,the distribution of sample means will also be normal.

8. According to the central limit theorem, the expected value for a sample mean becomes smaller approaching zero, as the sample size approaches infinity.

9. According to the central limit theorem, the standard error for a sample mean becomes smaller approaching zero, as the sample size approaches infinity.

10. For a sample consisting of a single score (n=1), the standard error is equal to the population standard deviation.

11. Assuming that all other factors are held constant, as the population variability increases, the standard error will also increases.

12. If the standard deviation for a population increases, the standard error for sample means from the population will also increase.

13. The smallest possible standard error is obtained when a sample sample is taken from a population with a small standard deviation.