Consider the following competing hypotheses and accompanyingsample data. (You may find it useful to reference theappropriate table: z table or ttable)
H0: ?1 –?2 = 5
HA: ?1 –?2 ? 5
| x?1x?1 = 57 | x?2x?2 = 43 |
| s1= 21.5 | s2= 15.2 |
| n1 = 22 | n2 = 18 |
Assume that the populations are normally distributed with equalvariances.
a-1. Calculate the value of the test statistic.(Round intermediate calculations to at least 4 decimalplaces and final answer to 3 decimal places.)
a-2. Find the p-value.
p-value < 0.01
0.01 ? p-value < 0.02
0.02 ? p-value < 0.05
0.05 ? p-value < 0.10
p-value ? 0.10
b. At the 5% significance level, can you concludethat the difference between the two means differs from 5?
