A survey of 33 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 1.4, with a standard
deviation of 0.8.
Calculate the test statistic, rounded to two decimal places
Solution :
This is the right tailed test .
The null and alternative hypothesis is ,
H0 : = 1.3
Ha : > 1.3
Test statistic = z
= ( - ) / / n
= (1.4 - 1.3) / 0.8 / 33 = 0.72
Test statistic = 0.72
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