The accompanying data table lists the weights of male college students in kilogr

Question

The accompanying data table lists the weights of male college students in kilograms. Test the claim that male college students have a mean weight that is less than the 82 kg mean weight of males in the general population. Use a 0.10 significance level. Identify the null? hypothesis, alternative? hypothesis, test? statistic, P-value, and conclusion for the test. Assume this is a simple random sample.

0.68 0.74 0.64 0.39 0.7 2.2 1.98 0.64 1.22 0.2 1.64 1.33 2.95 0.9 1.76 1.01 1.26 0 0.65 1.46 1.62 1.83 0.99 1.56 0.39 1.28 0.83 1.32 0.54 1.25 0.92 1 0.78 0.79 1.44 1 2.24 2.5 1.79 1.25 1.49 0.84 1.42 1 1.25 1.42 1.35 0.93 0.4 1.39

Explanation / Answer

Hypothesis:
H0 : mu = 0.82
Ha : mu < 0.82

Test statistics:

z = (x -mean)/(s/sqrt(n))
= (1.18 -0.82)/(0.5880/sqrt(50))
= 4.3292

P value = 0.00001

we reject the null hypothesis

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