# 13 Probability Statements: True or False?

**Discipline:** Mathematics

**Type of Paper:** Question-Answer

**Academic Level:** High school

**Paper Format:** APA

**Pages:**3

**Words:**825

Question

# 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 standa

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