Module 7: z-test for one sample mean

Question 1

What is the z-test for one sample mean?

Answer 1

• Population mean (µ) and standard deviation (σ) are known.
• The test calculates a z-statistic.
• It follows the standard normal distribution.

Question 2

z-test for one sample mean example

Research hypothesis: The undergraduate kinesiology students
will spend more time in moderate to vigorous physical activity
than the average Canadian population.

What are the steps we need to take for the z-test?

Answer 2

1. State the statistical hypotheses (null and alternative)
2. Make a decision about the null
2a. Determine alpha
2b. Determine the type of analysis
2c. Determine the critical values,
2d. State the decision rule
2e. Calculate the z-statistic
2f. Determine to reject or do not reject the null hypothesis
3. Draw a conclusion from the analysis
4. Relate the results of the analysis to the research hypothesis

Question 3

Check Notes for step 2:

Answer 3

Question 4

Step 3: Draw a conclusion

Answer 4

• The undergraduate kinesiology students (n = 30) spent statistically significantly more time in moderate to vigorous physical activity than the average Canadian population (155 ± 25 vs 140 ± 35 minutes/week, respectively) (z = 2.35, one-tailed p < 0.05).
• The undergraduate kinesiology students (n = 30, 155 ± 25 min/week) spent statistically significantly more time in moderate to vigorous physical activity than the average Canadian population (140 ± 35 min/week) (z = 2.35, one-tailed p < 0.05).

Question 5

Breakdown of writing a conclusion

Answer 5

Question 6

Step 4. Relate the results of the analysis to the research hypothesis

Answer 6

Do the results support the research hypothesis?

The results of the analysis support the research hypothesis. The undergraduate kinesiology students are more physically active than the average Canadian population