An experiment using 35 guinea pigs is set up to study the weight of the pigs after injecting them with a drug. If the population mean is 23.5 grams with a standard deviation of 3.4 grams, what is the margin of error of the sample mean?

Answer:1.1264Step-by-step explanation:Given : An experiment using 35 guinea pigs is set up to study the weight of the pigs after injecting them with a drug.To Find: If the population mean is 23.5 grams with a standard deviation of 3.4 grams, what is the margin of error of the sample mean?Solution:n = 35[tex]\sigma = 3.4[/tex]Confidence interval = 95%. So, z =1.96Margin of error = [tex]z \times \frac{\sigma}{\sqrt{n}}[/tex]Margin of error = [tex]1.96\times \frac{3.4}{\sqrt{35}}[/tex]Margin of error = [tex]1.1264[/tex]Hence the margin of error of the sample mean is 1.1264.