Answer:
Since p is less than 0.05, our alpha, this difference is considered to be extremely statistically significant.
Step-by-step 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
[tex]H_0: \bar x_1 =\bar x_2\\H_a: \bar x_1 \neq \bar x_2\\[/tex]
(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.
