A random sample of size 36 is taken. The sample mean is 148 and the sample variance is 81. Test

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- Apr 19th 2011, 09:38 AMjgjimcatHypothesis Testing
A random sample of size 36 is taken. The sample mean is 148 and the sample variance is 81. Test

- Apr 19th 2011, 10:26 AMTKHunny
A question is written with little information. There are 20 words. Expand.

- Apr 19th 2011, 10:41 AMjgjimcat
Hypothesis test for u when σ² is unknown

Let X ~ N (u, σ²)

Ho: u = 150

Ha: u ≠ 150

A random sample of size 36 is taken. The sample mean is 148 and the sample variance is 81. Test Ho[IMG]file:///C:/DOCUME%7E1/CISR/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.png[/IMG] - Apr 21st 2011, 12:20 PMpoirot
test statistic = (148-150)/(9/6) = -4/3. We only care about abs(-4/3)= 4/3. Use a 5% significance level, 2 tail so critical value= 1.96.

4/3< 1.96 so accept Ho