A sample of 20 third-grade students had a average of 54 on a math proficiency test, with a sample standard deviation of 11. Is there enough evidence to conclude that the third-grade sample mean differs significantly from the third-grade population mean of 67?

Assume a 0.02 significance level.

Use theCritical ValueMethod of Testing (this means NO P-Values!).Show work

In your work space below, you will need to have -

1.The null hypothesis, Ho (5 points)

2.The alternative hypothesis, H1 (5 points)

3.The test statistic (10 points)

4.The type of test(left, right, two-tailed) and the critical value (9 points)

5.The decision to accept Ho or reject Ho (5 points)