Question

1. (i) How do you understand the four levels of measurement and give your own example?

(ii) A company’s human resources department recently selected a sample of fifteen people. They compared the employees’ performance rating (based on a 100-point scale) and the number of overtime hours the employees had worked in the past six months. The following SPSS output were recorded.

                                    Correlation

	Rating	Hours
Rating      Pearson Correlation                  Sig. (2-tailed)	1	.643*** .054
Hours       Pearson Correlation                  Sig. (2-tailed)	.643*** .054	1

(a) What is the sample size for this problem?

(b) What is the value of correlation coefficient?

(c) Describe two variables that might exhibit such relationship? Explain your reasoning.

(d) Write down the null and alternative hypotheses.

(e) Which level is significant for this problem?

(f) State a conclusion for your test.

Answer 1

Que. ii

a. Sample size = 15

b. Correlation coefficient = r = 0.643

c. Height and weight.

Because we know that as height increases then weight also increase, hence we get positive correlation.

d.

Hypothesis:

Where represent population correlation coefficient.

e.

If p-value is less than , then level is significant.

Here any value greater than 0.054 gives the significant level .

f.

If we consider = 0.10 , then p-value is less than , hence we conclude that correlation coefficient is statistically significant.

If  we consider = 0.05 , then p-value is greater than , hence we conclude that correlation coefficient is not statistically significant.