One Sample Z/ T Test

Question 1

What is H0 and H1 for a one ample t - test?

Answer 1

H0: Population mean = hypothesised value
H1: Population mean is different from hypothesised value

Question 2

What are the assumptions for a one-sample T-Test?

Answer 2

• Sample data is independent
• Normally distributed
• Scale of measurement must be interval or ratio

Question 3

How do you interpret SPSS Output for one-sample t-test?

Answer 3

• Test statistic (t value): A higher value indicates stronger effect
• P-Value: If P<a (e.g. 0.05) , reject the null hypothesis, indicting a significant difference
• Confidence interval: Shows the range in which the true population mean is likely to fall

Question 4

Methodology for carrying out a one-sample t-test?

Answer 4

• State null and alternative hyp
• Calculate mean + SDV
• Calculate test statistic
• Compare test statistic to critical values or use p value to make a decision