Show transcribed image text A random sample of n-10 winter days in Denver gave a sample mean pollution index ì§€-43. Preve us stades show that o.-15. F r Englewood (a sburb of De er a random sample of n2-20 winter days gave a sample mean pollution index of x2Â·34 Previous studies show that -17. Assume the pollution dex s nomally dstributed in both Englewood and Denver, Do these data indicate that the mean population pollution index of Englewood is diferent (either way) from that of Denver in the winter? Use a 1% level of significance. a) What is the level of significance? State the null and alternate hypotheses. b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. distributions are approximately normal with unknown standard deviations What is the value of the sample test statistic? (Test the difference n-n Round your answer to two decimal places.) Find (or estimate) the P-value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value.

A random sample of n-10 winter days in Denver gave a sample mean pollution index ì§€-43. Preve us stades show that o.-15. F r Englewood (a sburb of De er a random sample of n2-20 winter days gave a sample mean pollution index of x2Â·34 Previous studies show that -17. Assume the pollution dex s nomally dstributed in both Englewood and Denver, Do these data indicate that the mean population pollution index of Englewood is diferent (either way) from that of Denver in the winter? Use a 1% level of significance. a) What is the level of significance? State the null and alternate hypotheses. b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. distributions are approximately normal with unknown standard deviations What is the value of the sample test statistic? (Test the difference n-n Round your answer to two decimal places.) Find (or estimate) the P-value. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value.