Question

A survey of 38 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated.

You're testing the claim that the mean difference is greater than 1.3.

From the sample, the mean difference was 1.45, with a standard deviation of 0.48.

Calculate the test statistic, rounded to two decimal places

Answer 1

Let be the population mean difference.

Here we want to test whether is greater than 1.3

So the Hypothesis is

Ho : = 1.3 vs Ha : > 1.3

Sample size n= 38

Sample mean difference d= 1.45

Standard deviation = s = 0.48

Then the test statictic is

= 1.93

The test statistic is 1.93