QUESTION 1. -Suppose the null hypothesis, that the mean equals a particular valu

Question

QUESTION 1.

-Suppose the null hypothesis, that the mean equals a particular value, is true and we do not know the standard deviation of the random variable. Suppose such a test is carried out a large number of times with different data sets and each time there are 100 observations used in the analysis.

True or False??:  in the analysis described above, we expect t-statistic will be greater than 1.5 less than 25% of the time.

-Suppose you want to test the null hypothesis that the population mean is at least 100. You decide on a level of significance of .1 for this test. You calculate a t-statistic of -1. 44 using a sample of 65 observations.

True or false??: you reject the null hypothesis.

Explanation / Answer

Q1) Yes, it is False. in the analysis described above, we expect t-statistic will be greater than 1.5 less than 25% of the time.

Q2) Here P value = P(t<-1.44)

Use excel function

T.DIST(-1.44,65-1,TRUE)

= 0.0774

It is less than 0.1, so we reject the null hypothesis. It is True

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