The National tileathar Sermge 1 The National Weather Service says that the mean daily high temperature for October in a large mid-western city is 56F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean is actually lower than 56F. A sample of mean daily high temperatures for October over the past 37 years yields a sample mean of 54 F. Assume that the population standard deviation is 5.6" F. Perform the hypothesis test at the 1% signicance level. to STEP 2. This test is (e) left-tailed, (f) two-tailed or (g) right-tailed test. This test is (enter e, f or g) l \\ STEP 3. The critical value (5) is Use the following chart to identify the critical value (5) Left-tailed Two-tailed Right tailed ' a=10% = -1.28 (A) z = $1.65 (B) 2 =1.28 (C) (1 =5% 2 = -1.65 (D) z = $1.96 (E) z = -1.65 (F) (1 =1% 2 = 2.33 (G) 2 = $2.58 (H) = -2.33 (l) The critical value (5) is/are E (Enter a letter A through I) STEP 4. The test statistics is (Enter a z-score rounded to two decimal places)