Question

2) A random sample of ?? = 15 summer days in Los Angeles gave a sample mean pollution index of ?? = 40. Previous studies show that ?? = 15. For San Francisco, a random sample of ?? = 19 summer days gave a sample mean pollution index of ?? = 44. Previous studies show that ?? = 12. Assume the pollution index is normally distributed. Do these data indicate the mean population pollution index of San Francisco is different from that of Los Angeles? Use a 1% level of significance.

Step One: State the Hypotheses

Step Two: Calculate the Test Statistic

Step Three: Find the P-value

Step Four: Decision (compare the p-value to alpha)

Step Five: Conclusion (be sure this is in complete sentence form)

Answer 1