Question

Use the given information to calculate and interpret the test statistic and effect size.

Hypotheses: H0: μ=20 vs. HA:  μ≠20

Sample data

• ¯x=19.8
• SD=1.5
• SE=0.25

The test statistic is?

=This means that the point estimate is_____ standard errors below the null value.

The effect size is ______ , which can be considered (select answer: Small, moderate, large) Differences between the point estimate and the null value will not be noticeable without careful observation.

Answer 1

Test Statistic = ($\bar{x}$ - μ) / SE

= (19.8 - 20) / 0.25

= -0.8

This means that the point estimate is 0.8 standard errors below the null value

Effect size = |$\bar{x}$ - μ| / SD

= |19.8 - 20| / 1.5

= 0.1333

Since the effect size is less than 0.20, the effect size is Small