Using traditional methods, it takes 8.6 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 26 students and observed that they had a mean of 8.4 hours with a standard deviation of 1.0. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.

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jtellezd jtellezd · Answer 1 · 2021-04-25T03:17:39+02:00

Answer:

t(s) is in the acceptance region. We accept H₀ we don´t have enough evidence to justify differences in the procedures

Step-by-step explanation:

Traditional procedure bring as μ = 8,6 h

Sample Information:

Sample size n = 26

Sample mean x = 8,4

Sample standard deviation s = 1

With n = 26 unknown population standard deviation, and population with normal distribution we should use t-student test

then n = 26 degree of freedom df = n - 1 df = 25

significance level 0,1 with that information we look in t-student table t (c) ( two tails test)

t(c) = - 1,708

Test Hypothesis

Null hypothesis H₀ x = μ

Alternative Hypothesis Hₐ x ≠ μ

Alternative hypothesis indicates that the test should considered two tails

To calculate t(s)

t(s) = ( x - μ ) / s/√n

t(s) = ( 8,4 - 8,6 )/ 1/√26

t(s) = - 0,2 * 5,09 / 1

t(s) = - 1,019

Comparing |t(s)| and |t(c)|

1,019 < 1,708 |t(s)| < |t(c)|

t(s) is in the acceptance region. We accept H₀ we don´t have enough evidence to justify differences in the procedures