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The weights, in pounds, of eight students in a class are:

128

193

166

147

202

183

181

158

Using the data above, what is the standard error of the sample mean?

Answer choices are rounded to the hundredths place.

Answer :

Answer:

Here is the answer

Step-by-step explanation:

To find the standard error of the sample mean, we need to follow these steps:

Calculate the sample mean: The sample mean is the sum of all the weights divided by the number of weights. In this case, the sum of the weights is 128 + 193 + 166 + 147 + 202 + 183 + 181 + 158 = 1,232 and the number of weights is 8, so the sample mean is 1,232 / 8 = 154.00 pounds.

Calculate the sum of squares of the differences between each weight and the sample mean: For each weight, we need to find the difference between the weight and the sample mean, square this difference, and add up all the squares. The sum of squares of the differences between the weights and the sample mean is:

(128 - 154.00)² + (193 - 154.00)² + (166 - 154.00)² + (147 - 154.00)² + (202 - 154.00)² + (183 - 154.00)² + (181 - 154.00)² + (158 - 154.00)²

= 2401.00

Calculate the standard error: The standard error is the square root of the sum of squares of the differences between the weights and the sample mean divided by the number of weights minus 1. In this case, the standard error is the square root of 2401.00 / (8 - 1) = 60.99 pounds.

Therefore, the standard error of the sample mean is 60.99 pounds.

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