Question

Question William swims a 100 meter race in 90.7 seconds, on average, with a standard deviation of 5. He decided to see if using a new breathing technique improves his time. He used the new technique for 10 races. For those 10 races, William got an average of 87.4 seconds. He wants to know if the new technique helped him swim a faster race. Which of the answer choices shows the correct first three steps of a one-mean hypothesis test at the 1% significance level? Select the correct answer below: O H := 90.7; H: > 90.7, which is a right-tailed test. a=0.01. 20 = 874-90.7 -2.09. VO O H : 4 = 87.4; H :N < 87.4, which is a left-tailed test. a = 0.01. 90.7–87. 4 2.09. 5 O H := 90.7; H : 4 < 90.7, which is a left-tailed test. a=0.01. 90.7-87.4 0.74. 20 O H :u= 87.4; H:> 87.4, which is a right-tailed test. a=0.01. 90.7–87.4 2.09. O H : = 90.7; H.: > 90.7, which is a right-tailed test. a=0.01. 20 = 0 87.4–90.7 -0.74. O H :u= 90.7; H :N < 90.7, which is a left-tailed test. a=0.01. 20 = 87.4–90.7 -2.09.