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pochemuha
3 years ago
12

Thirty-three college freshmen were randomly selected for an on-campus survey at their university. The participants' mean GPA was

2.5, and the standard deviation was 0.5. What is the margin of error, assuming a 95% confidence level? (Assume a normal distribution.)
Mathematics
1 answer:
Ivan3 years ago
7 0

Answer: \pm0.1706

Step-by-step explanation:

Given : Sample size : n= 33

Critical value for significance level of \alpha:0.05 : z_{\alpha/2}= 1.96

Sample mean : \overline{x}=2.5

Standard deviation : \sigma= 0.5

We assume that this is a normal distribution.

Margin of error : E=\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

i.e. E=\pm (1.96)\dfrac{0.5}{\sqrt{33}}=\pm0.170596102837\approx\pm0.1706

Hence, the  margin of error is \pm0.1706

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