Average tax per gallon of gasoline

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Gasoline vehicle operators complain about the price of gasoline at gas stations, the government gasoline tax for each gallon is constant (18.4 cents as of January 13, 2018), but state and local taxes vary from 7.5 cents to 32.10 cents for n = 18 key metropolitan areas across the country. The total tax per gallon of gasoline at each of these locations is given below. Suppose these measurements constitute a random sample of size 18: (assume that these data have a roughly normal distribution)

42.89 53.91 48.55 47.90 47.73 46.61 40.45 39.65 38.65 37.95 36.80 35.95 35.09 35.04 34.95 33.45 28.99 27.45

Is there enough evidence to say that the average tax per gallon of gasoline is less than 45 cents? use \ alpha = 0.01

a.If Ho: mu = 45 (null hypothesis), the alternative hypothesis is given by

b.The test statistic is:

c.The critical value for this test is:

d.The decision is:

e.The decision will be worded as follows: We do not reject

Reference no: EM132529594

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