State Gasoline Taxes; A ramdom sample of state gasoline taxes (in cents) is show

Question

State Gasoline Taxes; A ramdom sample of state gasoline taxes (in cents) is shownfor 12 states. Use the datato estimate the true population mean gasoline tax90%confidence. Does the interval contain the national averageof 21cents? data: 21.5      23    16     20.7    25.9     20 20     25.3    17     28    30     31 show work fo top rating. State Gasoline Taxes; A ramdom sample of state gasoline taxes (in cents) is shownfor 12 states. Use the datato estimate the true population mean gasoline tax90%confidence. Does the interval contain the national averageof 21cents? data: 21.5      23    16     20.7    25.9     20 20     25.3    17     28    30     31 show work fo top rating.

Explanation / Answer

sample size, n = 12 sample mean, x = 23.2 sample standard deviation, s = 4.9 standard error, e = s/ n = 4.9/12 = 1.415 degree of freedom, df = n-1 = 12-1 = 11 at 90% confidence, i.e for =0.1 and for a two taildistribution, and df =11, t = 1.796 hence confidence interval = x ± (t*e) =23.2 ± (1.796 * 1.415) =(20.7, 25.7) hence, interval containsthe national average of 21 cents. hence, interval containsthe national average of 21 cents.

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