Question

Eight trials are simulated. The results are shown in the table.

Simulation
105 104 110 112
114 106 108 109
What is the estimated margin of error, using standard deviation?



Enter your answer, rounded to two decimal places, in the box.

±

Answer 1

Answer: The correct answer was 3.33

Step-by-step explanation: Just took the test :) Good luck!

Answer 2

2.897

Explanation:

Let us find the mean and variance for the sample first.

105 104 110 112

114 106 108 109

Mean = sum/8 = 108.5

Variance = 12

Std dev = sq rt of variance = 3.464

Std error = std dev/ sq rt n

since n =8, we get std error = 1.225

Since sample size is small, df =8-1 =7

For 95% confidence intervals, t critical value for two tailed=2.365

Margin of error = std error x t critical = 1.225(2.365)

=2.897