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You wish to test the following claim

`(H_(a))`

at a significance level of

`\alpha =0.05`

.

```
H_(0):\mu =84.7
H_(a):\mu <84.7
```

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size

`n=12`

with mean

`M=82.7`

and a standard deviation of

`SD=5.8`

. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic

`=`

What is the

`p`

-value for this sample? (Report answer accurate to four decimal places.)

`p`

-value

`=`