Question

The mean gross annual incomes of certified welders are normally distributed with the mean of $26,589 and a standard deviation of $2,659. The ship building association wishes to find out whether their welders earn more or less than $26,589 annually. The alternate hypothesis is that the mean is not $26,589. Which of the following is the alternate hypothesis? a. H1: <$26,589 b. H1: -$26,589 с. HI:T-826,589 d. Hi: -326,589

Answer 1

And based on the claim the system of hypothesis are:

Null hypothesis:
`\mu = 26589`

Alternative hypothesis:
`\mu \\eq 26589`

And the best alternative would be:

b.
`H_1: \\eq $26,589`

Explanation:

For this case we want to test the hypotheis that the true mean is different from 26859. We have the following info given:

`\bar X = 26589` represent the sample mean

`\sigma =2659` represent the population deviation

And based on the claim the system of hypothesis are:

Null hypothesis:
`\mu = 26589`

Alternative hypothesis:
`\mu \\eq 26589`

And the best alternative would be:

b.
`H_1: \\eq $26,589`