Posted by **Candy** on Wednesday, July 29, 2009 at 4:47pm.

for a sample of 12 items from a normally distributed population for which the standard deviation is = 17.0, the sample mean is 230.8. At the 0.05 level of significance, test Ho : μ ≤ 220 versus Hı: μ >220. Determine and interpret the p-value for the test.

- business statistics -
**MathGuru**, Thursday, July 30, 2009 at 9:00am
Using the z-test formula to find the test statistic:

z = (sample mean - population mean)/(standard deviation divided by the square root of the sample size)

z = (230.8 - 220)/(17/√12)

Finish the calculation. Since this sample is from a normally distributed population, use a z-table to determine your p-value (the p-value is the actual level of the test statistic). Compare the p-value to 0.05 level of significance for a one-tailed test (the test is one-tailed because H1 is showing a specific direction). Determine whether or not to reject the null based on your outcome. If the null is rejected, then you conclude µ > 220. If the null is not rejected, then you cannot conclude a difference.

I hope this will help get you started.

## Answer This Question

## Related Questions

- statistics - Given a sample size of 38, with sample mean 660.3 and sample ...
- Business Statistics - In a goodness-of-fit test, the null hypothesis states that...
- Statistics - Are these statements true or false? 1. The sample mean, the sample ...
- statistics - A sample of 40 observations is selected from one approximately ...
- statistics - A sample of 40 observations is selected from one approximately ...
- statistics - A random sample of size 20 from a normal population will sample ...
- Statistics - A random sample of size 20 from a normal population will sample ...
- business statistics - A sample of 900 items is taken from a population with ...
- statistics - we are interested in testing at level of significance alpha =10 ...
- Statistics - This is the first question..... For a population that has a ...

More Related Questions