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Question

Suppose a sample of $11$ paired differences that has been randomly selected from a normally distributed population of paired differences yields a sample mean of $103.5$ and a sample standard deviation of $5.$

Test the null hypothesis $H_0: \mu_d \geq 110$ versus $H_a: \mu_d<110$ by setting $\alpha$ equal to $.05$ and $.01$. How much evidence is there that $\mu_d=\mu_1-\mu_2$ is less than $110$?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 7The goal of this task is to test this null hypothesis

$H_0: \mu_1-\mu_2 \geq100,$

versus this alternative hypothesis:

$H_a: \mu_1-\mu_2 < 0,$

when the value of $\alpha$ is $0.05$ and $0.01.$

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