Posted by Sandy on Friday, March 8, 2013 at 9:35pm.
Use a one-sample z-test.
z = (sample mean - population mean)/(standard deviation divided by the square root of the sample size)
With your data:
z = (522.3 - 530)/(29/√85) = ?
Finish the calculation.
Check a z-table at .01 level of significance for a two-tailed test (H1 does not show a specific direction; therefore, the test is two-tailed.)
If the z-test statistic exceeds the critical value from the z-table, reject the null and conclude H1 ≠ 530. If the z-test statistic does not exceed the critical value from the z-table, do not reject the null. If you determine the P-value, check the table using the z-test statistic. The P-value is the actual level of the test statistic.
I hope this will help get you started.
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