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# A study was conducted to determine the effectiveness Experimental Control

A study was conducted to determine the effectiveness
Experimental
Control
of a certain treatment. A group of 112 patients were
randomly divided into an experimental group and a
n
51
61
control group. The table shows the result for their net
3.4
improvement. Let the experimental group be group 1
and the control group be group 2.
S
6.4
6.6
(a) Test whether the experimental group experienced a larger mean improvement than the control group at the a = 0.05
level of significance.
Should the null hypothesis be rejected?
O A. Yes, because the test statistic is in the critical region
O B. Yes, because the test statistic is not in the critical region
O C. No, because the test statistic is not in the critical region.
OD. No, because the test statistic is in the critical region.&quot;
(b) Construct a 95% confidence interval about u. – p- and interpret the results
Therefore, the confidence interval is the range from to
(Round to two decimal places as needed. )
What is the interpretation of this confidence interval?
O A. There is a 95% probability that the difference of the means is in the interval.
O B. There is a 95% probability that the difference between randomly selected individuals will be in the interval
O C. We are 95% confident that the difference between randomly selected individuals will be in the interval
D. We are 95% confident that the difference of the means is in the interval