. At the .05 significance level, is there a difference in the mean number of calls per day between the two employees? What is the p-value?

http://www.khanacademy.org/math/statistics-probability

Jiskha doesn't have a statistics prof at present, but you may find lessons and methods of calculation in Khan Academy's statistics section.

To determine if there is a difference in the mean number of calls per day between the two employees, you would typically conduct a hypothesis test using a statistical method such as the t-test or ANOVA, depending on the specific circumstances. However, in order to conduct this hypothesis test, we would need some additional information, such as sample data or population parameters.

Assuming you have the necessary data, here's a general step-by-step approach to performing the hypothesis test and calculating the p-value:

1. State your null hypothesis (H0) and alternative hypothesis (Ha):
- Null hypothesis: There is no difference in the mean number of calls per day between the two employees.
- Alternative hypothesis: There is a difference in the mean number of calls per day between the two employees.

2. Select an appropriate statistical test. Since you are comparing the means of two independent samples, a two-sample t-test would be appropriate if the sample data follows a normal distribution. If the sample sizes are large enough, you can also consider using the z-test.

3. Calculate the test statistic. This involves calculating the difference between the sample means and their standard error. The test statistic (t or z) is calculated by dividing this difference by the standard error.

4. Determine the critical value or find the p-value. The critical value is based on the significance level (typically 0.05) that you have specified. If the test statistic falls outside the critical value, you can reject the null hypothesis. Alternatively, you can calculate the p-value, which represents the probability of observing a test statistic as extreme or more extreme than the one obtained, assuming the null hypothesis is true. If the p-value is less than the significance level, you can reject the null hypothesis.

5. Interpret the results. If the p-value is less than 0.05, you would conclude that there is a statistically significant difference in the mean number of calls per day between the two employees. Otherwise, you would fail to reject the null hypothesis.

Without the actual data or sample sizes, it's not possible to determine the p-value or whether to reject the null hypothesis. However, by following the steps outlined above, you should be able to perform the necessary calculations once you have the data.