I need help with all parts of this quesiton 8 To compare the average swimming times for two swimmers, each swimmer was asked to swim freestyle for a distance of 100 yards at randomly selected times. The swimmers were thoroughly rested between laps and did not race against each other, so that eachsample of times was an independent random sample. The times for each of 10 trials are shown for the two swimmers.Swimmer 1Swimmer 259.61 59.75 59.82 59.4059.49 59.44 59.33 59.6459.66 59.73 59.77 59.5159.51 59.62 59.65 59.8460.00 59.67 59.85 59.50USE SALTSuppose that swimmer 2 was last year's winner when the two swimmers raced. Does it appear that the average time for swimmer 2 is still faster than the average time for swimmer 1 in the 100-yard freestyle? (Use Swimmer 1 - Swimmer 2. Use α = 0.05.)State the null and alternative hypotheses.O Ho: (M₁ M₂) = 0 versus H₂: (μ₁ −μ₂) > 0O Ho: (M₁M₂) = 0 versus H₂: (M₁ - H₂) < 0O Ho: (M₁M₂) = 0 versus H₂: (μ₁ −μ₂) = 0O Ho: (M₁M₂) < 0 versus H₂: (M₁ - µ₂) >0O Ho: (μ₁ −μ₂) = 0 versus H₁: (μ₁ −μ₂) #0State the test statistic. (Round your answer to three decimal places.)t = Find the approximate p-value for the test.O p-value < 0.0050.005 < p-value < 0.0100.010 < p-value < 0.0250.025 < p-value < 0.0500.050 < p-value < 0.100p-value > 0.100Interpret the results.O Ho is rejected. There is insufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1.Ho is not rejected. There is sufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1.ноis not rejected. There is insufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1.Ho is rejected. There is sufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1.

Answered: Image /qna-images/answer/a111873f-f872-4071-965b-5316d73b0501.jpg

0.005 < p-value < 0.010 0.010 < p-value < 0.025 0.025 < p-value < 0.050 0.050 < p-value < 0.100 p-value > 0.100 pret the results. Ho is rejected. There is insufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swim Ho is not rejected. There is sufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swi