Question: please i need solution for this problem step by step solution with formulas are required. 4.[20 points] The following data shows the gas mileage (miles

please i need solution for this problem step by step solution with formulas are required.

4.[20 points] The following data shows the gas mileage (miles per gallon) of a car sample of a particular brand of car. 20.2 21.3 25.0 22.5 23.9 22.8 22.5 24.2 24.6 23.9 24.5 23.6 24.3 27.4 22.2 22.07 20.3 24.2 21.6 23.2 20.1 19.6 25.4 25.2 24.6 24.5 a) Construct 99% confidence interval for the population mean, and interpret the confidence interval. b) The car manufacturer claims that the average gas mileage of this brand of car is 24 miles per gallon. Does the data support the above claim? Conduct a test using the level of significance 0.02

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