Exercise 5. Let Xi N(M1,02) be the average temperature in Phoenix in January. Looking at the data from 2004 to 2013, we

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Exercise 5 Let Xi N M1 02 Be The Average Temperature In Phoenix In January Looking At The Data From 2004 To 2013 We 1 (138.41 KiB) Viewed 33 times

Exercise 5. Let Xi N(M1,02) be the average temperature in Phoenix in January. Looking at the data from 2004 to 2013, we find: ã 10 = 56.45 °F o'y = 2.12. = a) In 2014, the temperature in January was 60°F. Thus, we would like to test whether Mi = 60 using the observations from 2004 to 2013 H : Mi = 60 H1 : μι # 60 a = Perform a 2-sided t-test of size a = - 5%. If the null hypothesis is rejected, find the expression for the p-value. Hint: c1 = -2.26 and C2 = 2.26 quantiles at 2.5% and 97.5% of t(9) distribution. b) Let Yi N (M2,02) be the average temperature in Los Angeles in January from 2009 to 2013: Y5 = 61.78 °F oy = 2.71. We want to test if the temperature in Los Angeles is significantly higher: = = 7 Ho: Mi > M2 Η : μι < μ2 Perform a 1-sided t-test of size a = - 5%. If the null hypothesis is rejected, find the expression of the p-value. Hint: c= -1.77 is the 5% quantile of a t(13) distribution