Using the confidence interval when conducting a two-tail test for the population mean we do not reject the null hypothesis if the hypothesised value for µ:
举一反三
- In order to construct a confidence interval estimate of the population mean, the value of the population mean is needed.
- So-called “95% confidence interval for population mean” is applied to estimate the location of population mean, with a confidence level 95%.
- The larger the level of confidence used in constructing a confidence interval estimate of the population mean, the narrower the confidence interval.
- If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.
- A researcher is interested in testing to determine if the mean of population one is greater than the mean of population two. The null hypothesis is that there is no difference in the population means (i.e. the difference is zero). The alternative hypothesis is that there is a difference (i.e. the difference is not equal to zero). He randomly selects a sample of 9 items from population one resulting in a mean of 14.3 and a standard deviation of 3.4. He randomly selects a sample of 14 items from population two resulting in a mean of 11.8 and a standard deviation 2.9. He is using an alpha value of .10 to conduct this test. Assuming that the populations are normally distributed, the critical t-value from the table is _______.