Statistics Question

Single sample t test should be used.

This requires two tailed test.

H₀: µ = 40

H₁: µ ≠ 40

Sample size (n) = 4

The degree of freedom = n – 1 = 4 – 1 = 3

The level of significance (α) = 0.05

The critical value of t at 3 degree of freedom with 0.05 level of significance from the t value table is ±3.1824.

Sample mean (M) = 44

Sample variance (s²) = 16

The value of the test statistic can be obtained as: