Statıstıcs Iı Deneme Sınavı Sorusu #1051299

For a statistical test following a normal distribution, the alternative hypothesis is that the mean equals to a hundred and the standard deviation is s = 20.  A sample of 25 observations is randomly selected and the sample average is equal to 102. What is the test statistic equal to?


0.35

0.40

0.45

0.5

0.55


Yanıt Açıklaması:

The observation is equal to 25 which is less than 30, so we use this formula to calculate the test statistics: t = (x -µ)/(s / (n)1/2). Here x=102, µ=100, s=20, n=25 this yields to t = (102 -100)/(20 / (25)1/2) which is equal to 1/2=0.5

The answer is D.

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