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A sample of 5 measurements, randomly selected from a normally distributed population, resulted in a sample...

A sample of 5 measurements, randomly selected from a normally distributed population, resulted in a sample mean, x¯¯¯=6.9 and sample standard deviation s=1.28. Using α=0.05, test the null hypothesis that the mean of the population is 7.7 against the alternative hypothesis that the mean of the population, μ<7.7 by giving the following:

find:

(a) the degree of freedom:

(b) the critical t value:

(c) the test statistic:

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