Question

In: Statistics and Probability

Exercise 1. Given the following null and alternative hypotheses, conduct a hypothesis test using an alpha...

Exercise 1. Given the following null and alternative hypotheses, conduct a hypothesis test using

an alpha equal to 0.05. (Note: The population standard deviations are assumed to be known.)

?0: ?1 – ?2 ≤ 0

?a: ?1− ?2> 0

? = 0.05

The sample means for the two populations are shown as follows:

Sample 1

Sample 2

n1= 40

n2= 50

x1= 144

x2= 129

s1= 11

s2= 16

Solutions

Expert Solution

Solution-

The Hypothesis is

H0: u1 – u2 ≤ 0

Ha: u1− u2> 0

Test resuls-

Test results that the null hypothesis H0 : u1 - u2 ≤ 0 is rejected.

Hence u1 is greater than u2.

orchestra answered 1 year ago
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