A data set has a mean of 112 and a standard deviation of 2.5.What is the margin of error for this data set?A. 224B. 5C. 56D. 1.25
Accepted Solution
A:
Answer with explanation:Mean of the data set[tex]\mu[/tex] = 112Standard Deviation of the data set[tex]\sigma[/tex] =2.5Since , 50% of data lies on both side of the mean. Z at 50% = 0.1915Margin of error for this data set [tex]=Z_{50 \text{percent}}\times\frac{\sigma}{\sqrt{\mu}}\\\\=0.1915 \times \frac{2.5}{\sqrt{112}}\\\\=0.1915 \times \frac{2.5}{10.58}\\\\=0.1915 \times 0.2362\\\\=0.0452[/tex] Margin of error=0.045(approx)