In a study of the length of time that students require to earn a bachelor’s degr

Question

In a study of the length of time that students require to earn a bachelor’s degree, 80 students were selected and they had a sample mean of 4.8 years and a standard deviation of 2.2 years. Construct an 88% confidence interval for the mean length of time required to get a bachelor’s degree.

12i Jn astudy of rhe length urtinie L.bal stiulents rrquire tn carn a bath carn hather r's dear-e, studxwis erie seleeitd and Iliey liad-3 Kamp-se mean uT4 li aul xample nlean uT 4.x years aud *A standard, aevwinnat 2.2 tears. Conxlfticl11 SNg.con ndcare in te/Val ror l lie mean icngth tif ttuu required in reachelor's degree,

Explanation / Answer

Degree of freedom, df = 80-1 = 79
tcrit = +/- 1.5718
SE = s/sqrt(n) = 2.2/sqrt(80) = 0.245967

88% CI = mean +/- tcrit*SE= 4.8 +/- 1.5718*0.245967 = (4.4134, 5.1866)

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