4 ( Part 1 ) # 3 Name Test the claim that the average age of mean of 23.2 and a

Question

4 ( Part 1 ) # 3 Name Test the claim that the average age of mean of 23.2 and a standard deviation of 4.1. (Assume significance l all students attending PSCC is 24. A sample of 50 students has a 1. (2 points) Hypotheses Ho: H1: 2. (2 points) Test: Graph: Critical Value: 3. (2 points) Test Statistie: P-value: p= (2 points) Conclusions in terms of Ho: 4. 5. (2 points) Conclusions in non-technical terms: At the claim that the average age of all students attending PSCC is 24. significance level, there sufficient evidence to warrant rejection of the

Explanation / Answer

Below are the null and alternate hypothesis
H0: mu = 24
H1: mu not equals to 24

As population sigma is not known, we should use t-test

alpha = 0.05
As this is two tailed test, there are two critical values: +/- 2.0096

Test statistics, t = (23.2 - 24)/(4.1/sqrt(50)) = -1.3797

p-value = 0.1739

As p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

At the 0.05 significance level, there are not sufficient evidence to warrant rejection of claim that the average of all students attending PSCC is 24.

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