A Test Was Made Of $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$

question 5

Multiple Choice

A test was made of $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ versus $H _ { 1 } : \mu _ { 1 } < \mu _ { 2 }$ . The sample means were $\bar { x } _ { 1 } = 11$ and $\bar { x } _ { 2 } = 9$ , the sample standard deviations were $s _ { 1 } = 7$ and $s _ { 2 } = 5$ , and the sample sizes were $n _ { 1 } = 15$ and $n _ { 2 } = 13$ .
Is $H _ { 0 }$ rejected at the $0.05$ level? (Hint: First compute the value of the test statistic.)

• A) No
• B) Yes

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