In: Statistics and Probability
| 
 1, Assume that both populations are normally distributed. (a) Test whether μ1≠μ2 at the α=0.05 level of significance for the given sample data. Detemine the P-value for this hypothesis test. (Round to three decimal places as needed.) (b) Construct a 95% confidence interval about μ1−μ2.  | 
 Population 1  | 
 Population 2  | 
|||
|---|---|---|---|---|---|
| 
 n  | 
 14  | 
 14  | 
|||
| 
 x  | 
 11.2  | 
 8.4  | 
|||
| 
 s  | 
 2.8  | 
 3.2  | 
| 
 2, Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether μ1>μ2 at the α=0.05 level of significance for the given sample data. Find the test statistic for this hypothesis test. and P- Value (b) Construct a 95% confidence interval about μ1−μ2.  | 
population 1 population 2
n 29 22
x 49.1 43.8
s 4.4 10.5