State the null and the nondirectional alternative hypothesis (in symbols and in words) and give the formula (simply the formula; don't substitute the values into the formula) for each of the following tests. (See "t-test practice problems - No calculations needed" from the Practice Problems and Additional Resources folder for examples).

c) Related samples t-test when the average difference between your Week 1 and Week 2 scores in your sample equals 145.50.

H0: Worded H0:

H1: Worded H1:

Formula:

d) Independent-samples t-test when the control group mean for number of problems solved equals 4.60 and the experimental group mean equals 4.10.

H0: Worded H0:

H1: Worded H1:

Formula (for separate (non-pooled) variance estimates):