Data Set 9-1: Sample scores: 2, 3, 4
-Test the scores in Data Set 9-1 against H₀:µ = 1.00. The t value that results is

Question

Data Set 9-1: Sample scores: 2, 3, 4 -Test the scores in Data Set 9-1 against H₀:µ = 1.00. The t value that results is A) 6.00 B) 3.46 C) 2.00 D) 0.67

Quizplus · Accepted Answer

The t value is calculated using the formula t = (x̄ - μ) / (s / √n), where x̄ is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size. For the given data set, x̄ = (2+3+4)/3 = 3, μ = 1, s = √[(1^2 + 2^2 + 3^2)/2] = √(14/2) = √7, and n = 3. Thus, t = (3 - 1) / (√7 / √3) = 2√3 / √7 ≈ 3.46.

Data Set 9-1: Sample Scores: 2, 3, 4