The meаn аge оf а randоm sample оf 25 people who were playing the slot machines is 48.7 years, and the standard deviation is 6.8 years. The mean age of a random sample of 35 people who were playing roulette is 55.3 with a standard deviation of 3.2 years.Can it be concluded at α=0.05 that the mean age of those playing the slot machines is less than those playing roulette? Assume the variables are normally distributed and σ12≠σ22.Match the correct response for each step in the hypothesis test.