Question

In the population, SAT-Verbal scores are normally distributed with a mean of 500 and standard deviation of 100. In a sample of 85 students from one large school district, the mean SAT-Verbal score was 515. Is there evidence that the mean SAT-Verbal score of all students from this school district is different than the known national mean of 500? Use the six-step hypothesis testing procedure:

Step 1: Identify the population, comparison distribution, and assumptions

Step 2: State the null and research hypotheses

H₀:

H₁:

Step 3: Determine the characteristics of the comparison distribution (shape, mean, & standard error)

Step 4: Determine the critical values [5 points]

Step 5: Calculate the test statistic

Step 6: Make a decision (reject/fail to reject + real world conclusion)

Answer 1