Given the sample size of 34, with sample mean 660.3 and sample standard deviation 104.9, we perform the following hypothesis test.
Null Hypothesis
Alternative Hypothesis
1. What is the test statistic?
2. At a 5% significance level (95% confidence level), what is the critical value in this test? Do we reject the null hypothesis?
3. What are the border values in terms of the sample mean between acceptance of Ha and rejection of this hypothesis (Ho)? (note you will have a value less than the mean and a value greater than the mean since a tool tailed test. Draw it out for yourself but drawing not required in the test just the range of values).
4. What is the power of this test if the assumed true mean were 690 instead of 700?