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consider-the-following-hypothesis-test-h-0-mu-1-mu-2-lt-0-h-a-mu-1-mu-2-gt-0-pa633

Consider the following hypothesis test.

```
H_(0):\mu _(1)-\mu _(2)<=0
H_(a):\mu _(1)-\mu _(2)>0
```

The 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)=7.0
```

a. 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)`