Question

Consider the following hypothesis test:H0: = 18Ha: ≠ 18A sample of 48 provided a sample mean = 17 and a sample standard deviation s = 4.5.If requires, round your answers to two decimal places.Compute the value of the test statistic (to three decimal places.)

Answer 1

The value of the test statistic is -1.539 .

Explanation:

We are given with the following hypothesis test ;

`H_0` :
`\mu` = 18

`H_1` :
`\mu`
`\\eq` 18

Also, we are provided a Sample mean,
`Xbar` = 17 and a Sample standard deviation, s = 4.5.

The test statistics we will use here is;

`(Xbar-\mu)/((s)/(√(n) ) )` ~
`t_n_-_1`

So, test statistics =
`(17-18)/((4.5)/(√(48) ) )` ~
`t_4_7` { as n = sample size = 48 }

= -1.539 .

Therefore, the value of the test statistic is -1.539 .