The mean scores on the SAT are normally distributed with mean 700 and population standard deviation 100. At Logan High School, a sample of 49 students is taken with a sample mean of 675. A scientist wants to determine if the mean scores at Logan High School are statistically different from the rest of the country. For the test use the critical value and .

1.Can we apply the empirical rule for this scenario? Why or why not?

2.Write the Null Hypothesis the Alternate Hypothesis.

3.Determine the test statistic.

4.What is the result of the test?