Answer:
The two-tailed P value equals 0.2308
By conventional criteria, this difference is considered to be not statistically significant.
Step-by-step explanation:
Given is a random sample of 10 single mothers
the ages are given as
22, 17, 27, 20, 23, 19, 24, 18, 19, and 24 years
H0: Mean = 20
Ha: Mean not equals 20
(two tailed test at 5% significance level)
The hypothetical mean is 20.00
The actual mean is 21.30
The difference between these two values is 1.30
The 95% confidence interval of this difference:
From -0.99 to 3.59
t = 1.2851
df = 9
standard error = 1.012
The two-tailed P value equals 0.2308
By conventional criteria, this difference is considered to be not statistically significant.