Answer:
0.308
Step-by-step explanation:
Given the data:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6
We need to obtain the sample mean and sample standard deviation :
Sample mean, xbar = Σx/n
Where n = sample size (1+1+2+2+2+3+3+3+3+4+4+6) / 12 = 2.833
Sample standard deviation, s
Using the formula :
s = √Σ((x - xbar)² / n-1)
s = 1.40
Hypothesis :
H0 : μ = 2.4
H1 : μ ≠ 2.4
The test statistic :
(xbar - μ) ÷ (s/√(n))
(2.833 - 2.40) / (1.40/sqrt(12))
Test statistic = 1.0713
Using the Pvalue from Test score calculator :
df = n - 1 = 12 - 1 = 11 ; two tailed
Pvalue(1.071, 11)
= 0.3069
= 0.307
