Question

A sample of students attending a large university has been selected. Is there a statistically significant difference between Liberal Arts majors and other students on average number of books (other than those required by course work) read per year? Use the five step model and write a sentence or two interpreting your results.

Liberal Arts Other

X1= 16.2 X2 = 13.7

s1 = 2.3 s2 = 9.0

N1 = 236 N2 = 321

Answer 1

Since p is less than 0.05, our alpha, this difference is considered to be extremely statistically significant.

Explanation:

Given that a sample of students attending a large university has been selected. Is there a statistically significant difference between Liberal Arts majors and other students on average number of books (other than those required by course work) read per year

Group Group One Group Two

Mean 16.200 13.700

SD 2.300 9.000

SEM 0.150 0.502

N 236 321

`H_0: \bar x_1 =\bar x_2\\H_a: \bar x_1 \\eq \bar x_2\\`

(two tailed test)

The mean of Group One minus Group Two equals 2.500

95% confidence interval of this difference: From 1.321 to 3.679

Intermediate values used in calculations:

t = 4.1675

df = 555

standard error of difference = 0.600

The two-tailed P value is less than 0.0001

Since p is less than 0.05, our alpha, this difference is considered to be extremely statistically significant.