An Article titled \"Teen Boy Forget whatever it was\"appeared in the Australian

Question

An Article titled "Teen Boy Forget whatever it was"appeared in the Australian newspaper Mercury (aprial 21, 1997). It described a study of axademic performance and attention span and reported that the mean time to distraction for teenage boys working on an independent task was 4 minutes. Although the sample size was not given in the article, suppose that this mean was based on a random sample of 50 teenage Australian boys and that the sample standard deviation was 1.4 minutes. Is there convincing evidence that the average attention span for teenage boys is less than 5 minutes: Test the relevant hypotheses using a= 0.01.

Ho:

H1:

P-Value:

Test Statistic:

Conclusion:

Explanation / Answer

Ho:mu=5

H1:mu < 5

P-Value< 0.0000

Test Statistic: -5.0508

Conclusion:Reject H0

Null hypothesis Hypothesis H0:mu= 5 Alternative hypothesis H1:mu less than 5 Critical values talpha= -2.405 Critical regions are tless than -2.405 Test statistic t=(Xbar-mu)/(S/sqrt(n))= -5.0508 p value = 0.0000 Decision : Reject H0

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