(Answered) The mean annual incomes of certified welders are normally

Statistics

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 0.10, what conclusion should be drawn?

Multiple Choice

Do not reject the null hypothesis as the test statistic is less than the critical value of z.
Do not reject the null hypothesis as the test statistic is less than the critical value of t.
Reject the null hypothesis as the test statistic is greater than the critical value of t.
Reject the null hypothesis as the test statistic is greater than the critical value of z.

For a one-tailed test with a 0.05 level of significance, the critical z-statistic is 1.645, but the critical t-statistic is 1.96.

True or False

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