Question

A survey of 43 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 1.1.

From the sample, the mean difference was 1.2, with a standard deviation of 0.64.

Calculate the test statistic, rounded to two decimal places

Answer 1

Solution :

The null and alternative hypothesis are

H₀ : $\mu$ = 1.1 ........... Null hypothesis

H_a : $\mu$ > 1.1   ........... Alternative hypothesis

Here, n = 43, $url=http://latex.codecogs.com/gif.latex?%5Cbar%20x&t=1596143374&ymreqid=69d777f6-ff7f-1f97-1ce8-d7000001af00&sig=ywyOQiGOzvBxFtgft_NhSg--~D$ = 1.2, s = 0.64

The test statistic t is

t =  

T-]/[s/n

= [1.2 - 1.1]/[0.64 /$\sqrt{}$43]

= 1.02

The value of the test​ statistic t = 1.02