# Question: suppose we wanted to test the hypothesis that a control...

###### Question details

- Suppose we wanted to test the hypothesis that a control group
of cancer patients (Group 1) would report higher mean pain ratings
than an experimental group receiving special massage treatments
(Group 2). Use the following information. Compute a
*t*-statistic for independent groups:

**Remember: SD ^{2} is the variance, which is the
square of the standard deviation. If you are using the formula on
page 116, you will use the variance, as given. If you are using the
easier, preferred method with StatCrunch (with summary), you will
want to use the standard deviation (square root of the
variance).**

mean group 1 =
82.1
SD^{2}_{1} = 42.1
n_{1} = 25

mean group 2 =
74.1
SD^{2}_{2} = 39.7
n_{2} = 25

What are the degrees of freedom and the value of *t* ? Using
α=0.05 for a two-tailed test, is this *t* statistic
significant?