In: Statistics and Probability
a random sample of n1=12 winter days in denver gave a sample meanpollution index of xbar 1=43. previous studies show that standarddeviation1= 21. for englewood, a random sample of n2= 14 winterdays gave a sample mean pollution index of xbar2= 36. previousstudies show standard deviation 2 = 15. assume the pollution indexis normally distributed in both englewood and denver. do these data indicate that the mean population pollutionindex of englewood is different (either way) from that of denver inthe winter? use a 1% level of significance.write out the Null Hypothesis and the Alternate Hypothesis, the calculated P-Value , your conclusion as “I reject the Null Hypothesis” or “I DO NOT reject the Null Hypothesis” AND a conclusion in the CONTEXT OF THE QUESTION