4) YouTube O chapter Aplis Home Aplia: Student Question X0Esant als Of Statistic

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4) YouTube O chapter Aplis Home Aplia: Student Question X0Esant als Of Statistics FtX x C courses aplia.com/af/servlet/quiz?ctx iz-probGuid«QNAPCOA80101000D003f81c 20060000&ck;=n_1 523111489454 0A/ A062B01614355271A50340000 ? , ? @ 8. A random sample is selected from normal population with a mean of ? = 30 and a standard deviation of ? After a treatment is administered ta the individuals in the sample, the sample mean is found to be M-33. If the sample congsts af n = 16 scores, is the sample m sufficient to condude that the treatment has a significant effect? use a two-tailed test with ? = .05. If needed, use the Dstributions tol to help you find the critical value. With n = 16,2-1.50 . You cannot conclude that the treatment has a significant effect. Standard Novn Cistribtion Mean-0.0 Srandard Devorion-L0 ?? If the sample cons sts of n 64 scores, is the sample mean sufficient to condude that the treatment has a significant effect? Use a two-tailed test with ? = .05. With n- 64, 23.00You can conclude that the treatment has a significant effect. Comparing your answers for the two cases you just tested, explain how the size of the sample influences the outcome of a hypochesis test. A larger sample ncreases the lkelihcod of rejecting the null hypothess. lash Flw ATN 29,0,0,13 Q3 3 34.1 ?: 2004-2016 Ap4m A. rights reserved. Distribut??3.OD ? 2007-2013 Apl® AJI right?reserved 4. Graded 2013 Cgsge Leing eoept as nobed. AT ights neserved Session

Explanation / Answer

Ans:

Significance level=0.05

critical z values are +/-1.96

When n=16

z=(33-30)/(8/sqrt(16))=1.5

As,z=1.5 does not lie in critical rejection region,we fail to reject null hypothesis.so,we can not conclude that treatment has significant effect.

when n=64

z=(33-30)/(8/sqrt(64))=3

As,z=3,lies in critical rejection region,we reject null hypothesis.,so we can conclude that treatment has significant effect.

A large sample increases the likelihood of rejecting the null hypothesis(as test statistic will be larger)

(All are correct)

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