Question

If H0:U=260.50kg with standard deviation at 7.2 and 99% confidence limit, H1:U> 260.50kg, what will be the final conclusion for H0?

Answer 1

Answer on Question #62808 – Math – Statistics and Probability

Question

If H0: U=260.50kg with standard deviation at 7.2 and 99% confidence limit, H1: U>260.50kg, what will be the final conclusion for H0?

Solution

We need the sample mean $\bar{x}$ and sample size $n$ to get the answer. Then, we can calculate test statistic:

$$z = \frac {\bar {x} - \mu_ {0}}{\frac {\sigma}{\sqrt {n}}},$$

where $\mu_0 = 260.50$; $\sigma = 7.2$.

After computing $z$ we need to compare it with the critical Z-value $z_{critical} = 2.326$ for 99% confidence level.

If $z > z_{critical}$ we reject the null hypothesis.

If $z \leq z_{critical}$ we don't reject the null hypothesis.

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