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(Solved): Consider the following hypothesis test. H_(0):\mu _(1)-\mu _(2)<=0 H_(a):\mu _(1)-\mu _(2)>0 ...
Consider the following hypothesis test.
H_(0):\mu _(1)-\mu _(2)<=0
H_(a):\mu _(1)-\mu _(2)>0The following results are for two independent samples taken from the two populations.
Sample 1 Sample 2
n_(1)=45,n_(2)=50
\bar{x} _(1)=25.1,\bar{x} _(2)=22.4
\sigma _(1)=5.4,\sigma _(2)=7.0a. What is the value of the test statistic (round to 2 decimals)? b. What is the
p-value (round to 4 decimals)? Use
z-value rounded to 2 decimal places. c. With
\alpha =0.05, what is your hypothesis testing conclusion?
p-value is
H_(0)