josegalvan123jg69
18.01.2021 •
Mathematics
Using traditional methods, it takes 94 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 40 students and observed that they had a mean of 95 hours. Assume the standard deviation is known to be 3. A level of significance of 0.02 will be used to determine if the technique performs differently than the traditional method. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic
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Ответ:
the value of the test statistic is 2.11
Step-by-step explanation:
Given that;
sample mean x" = 95
standard deviation σ = 3
sample size n = 40
Null hypothesis H₀ : μ = 94
Alternative hypothesis H₁ : μ ≠ 94
Level of significance ∝ = 0.02
Test statistic value
z = (x" - μ) / ( σ/√n)
we substitute
z = (95 - 94) / ( 3/√40)
z = 1 / 0.4743
z = 2.11
Therefore, the value of the test statistic is 2.11
Ответ: