The mean annual incomes of certified welders are normally distributed with the mean of $50,000 and a population standard deviation of $2,000. the ship building association wishes to find out whether their welders earn more or less than $50,000 annually. a sample of 100 welders is taken and the mean annual income of the sample is $50,350. if the level of significance is .05, what conclusion should be drawn

Their welders earn $50,000 annually.

Step-by-step explanation:

Given :

           n = 100

To Find : The ship building association wishes to find out whether their welders earn more or less than $50,000 annually.

Solution :

n = 100

Since n > 30

So we will use z test

Substitute the values

Refer the z table for p value

p value = 0.9599

α= 0.05

Since p value > α

So we accept the null hypothesis .

Hence  their welders earn $50,000 annually.

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step-by-step explanation: