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(d) Repeat the preceding hypothesis test using the critical value approach. State the null and alternative hypotheses.

```
H_(0):\mu <=$1,051
H_(a):\mu >$1,051
H_(0):\mu >=$1,051
H_(a):\mu <$1,051
H_(0):\mu =$1,051
H_(a):\mu !=$1,051
H_(0):\mu >$1,051
H_(a):\mu <=$1,051
H_(0):\mu <$1,051
H_(a):\mu >=$1,051
```

Find the value of the test statistic. (Round your answer to two decimal places.) State the critical values for the rejection rule. (Use

`\alpha =0.05`

. Round your answer to two decimal places. If the test is one-tailed, enter NONE for test statistic

`<=`

test statistic

`>=`

State your conclusion. Reject

`H_(0)`

. There is insufficient evidence to conclude that the mean refund of "last minute" filers is less than or equal

`$1,051`

. Do not reject

`H_(0)`

. There is sufficient evidence to conclude that the mean refund of "last minute" filers is less than

`$1,051`

. Do not reject

`H_(0)`

. There is insufficient evidence to conclude that the mean refund of "last minute" filers is less or equal than

`$1,051`

. Reject

`H_(0)`

. There is sufficient evidence to conclude that the mean refund of "last minute" filers is less than

`$1,051`

. Final answer Answers: part a)

`H_(0):\mu =1,051`

`H_(a):\mu <1,051`

part b)

```
z=-1.76
P- value =0.0392
```

part c) Reject

`H_(0)`

. There is sufficient evidence to conclude that the mean refund of " last minite " filers is less than

`$1051`