Question

Select the correct answer.

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?
A.
0.097 grams
B.
0.575 grams
C.
0.701 grams
D.
1.149 grams
E.
1.403 grams

Answer 1

Based on the information you provided, the margin of error of the sample mean can be calculated as:

Margin of error = z * (standard deviation / sqrt(sample size))

Since the population standard deviation is known, we can use a z-distribution to calculate the margin of error. For a 95% confidence level, the z-value is 1.96. Plugging in the values, we get:

Margin of error = 1.96 * (3.4 / sqrt(35)) = 0.701 grams

Therefore, the margin of error of the sample mean is 0.701 grams. The correct answer is C.