Answer to Question #197212 in Statistics and Probability for Ezekiel

Question

True or False Questions:

1. We cannot use Pearson correlation with variables measured at nominal or ordinal scale.

2. A score with a value less than or equal to the mean will have a z-score that is less than or equal to zero.

3. One reason for transforming X values into z-scores is that the set of z-scores will form a normal shaped distribution.

4. If an entire population with u=40 and o=7 is transformed into z-scores will have a mean of 0 and a standard deviation of 1.

5.The bull hypothesis is stated in terms of the population even though the data came from a sample.

6.It is impossible to have a correlation coefficient value of 2.33.

7.If the obtained sample mean is located in the critical region then your decision should be to "reject Ho".

8.A Type II error occurs when you conclude that a treatment effect exists but the treatment has no effect.

Answer 1

1.true

It is appropriate to use the Pearson correlation coefficient when the two variables of interest are scored using interval or ratio measures while the associations of ordinal or nominal variables should be compared using alternative methods.

2.true

$z=\frac{x-\mu}{\sigma}$

$x \le\mu\implies z\le0$

3.true

In other words, each z-score tells the exact location of the original X value within the distribution.

4.true

Distribution of z scores has a mean of 0 and a standard deviation of 1.

5.true

A null hypothesis is a type of conjecture used in statistics that proposes that there is no difference between certain characteristics of a population.

6.true

Coefficient values can range from +1 to -1

7.true

A critical region, a is a set of values for the test statistic for which the null hypothesis is rejected.

8.true

A Type II error occurs when one accepts a null hypothesis that is actually false.