A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 168 students using Method 1 produces a testing average of 80.1. A sample of 178 students using Method 2 produces a testing average of 57.3. Assume the standard deviation is known to be 15.53 for Method 1 and 11.18 for Method 2. Determine the following questions using a 95% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. The researcher wants to determine whether there is any difference between the two means...at an alpha level of 0.05. Determine whether you will reject or fail to reject the null hypothesis...and why.