A random sample of size 20 from a normal population give a sample mean of 42 and sample standard deviation of 6. Test the hypothesis that the population mean is 44 at 5 % level of significance.
2026-04-01 11:10:47.1775041847
Test the hypothesis ....
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First calculate the statistic
$$t=\frac{44-42}{6}\sqrt{20}=1.49$$
then decide, using the fact that $t\sim \mathcal{T}_{(19)}$