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Finding Standardized Test Statistics in Samples

1. Suppose you want to test the claim that the mean does not equal 3.5. Given a sample size of n = 31 and a level of significance of when should you reject H0 ?

a. Reject H0 if the standardized test statistic is greater than 2.33 or less than -2.33
b. Reject H0 if the standardized test statistic is greater than 1.645 or less than -1.645.
c. Reject H0 if the standardized test statistic is greater than 2.575 or less than -2.575.
d. Reject H0 if the standardized test statistic is greater than 1.96 or less than -1.96

2. Find the standardized test statistic to test the claim that 1 = 2. Two samples are randomly selected from each population. The sample statistics are given below.

n1=40 n2=35
x1=4 x2=5
s1=2.5 s2=2.8

1. -2.6 2. -1.0 3. -1.6 4. -0.8

Solution Preview

To answer this question we need the missing value for level of significance. I will tell which option is correct for various significance levels, so you check the level of significance in question and select the correct one.

a. Reject H0 if the standardized test statistic is greater than ...

Solution Summary

The solution outlines when to reject the hypothesis based on the measure of the standardized test statistic and level of significance. The solution also provides a standardized test statistic in order to test a given claim with the provided samples.

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