Question

A survey of 47 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. from the sample, the mean difference was 1.2, with a standard deviation of 0.78. calculate the test statistic, rounded to two decimal places

Answer 1

Answer: The test statistic is 1.75.

Explanation:

Since we have given that

n = 47

First mean difference = 1

and second mean difference = 1.2

Standard deviation = 0.78

So, the value of test statistic would be

`t=\frac{\bar{x_1}-\bar{x_2}}{(\sigma)/(√(n))}\\\\t=(1.2-1)/((0.78)/(√(47)))\\\\t=(0.2)/(0.114)\\\\t=1.754`

Hence, the test statistic is 1.75.