Lydia collected samples to see how many cars passed by her house in a period of 5 minutes. This is the data that she collected:
17, 8, 17, 21, 16, 15, 13, 10, 18, 17, 23, 17, 18, 10, 18, 13, 16, 21, 17, 16.
The normal model that Lydia calculated for this model is N(16.05, 3.78).
Then, Lydia used the Empirical Rule to check whether this data fits the Empirical Rule. She checked the number of data that were to the left of the +1σ
point, which is 19.83. What is the correct conclusion?
A normal curve is marked and labeled to show the values of a normal distribution. Three percentages are listed above the curve. The Mean and Standard Deviations are below the horizontal axis. Within the curve, 8 regions and percentages are defined. The graph is titled The Empirical Rule.
(1 point)
Responses
The normal model is not a good fit because 45% of the data are less than the mean, and the model predicts 50%.
The normal model is not a good fit because 45% of the data are less than the mean, and the model predicts 50%.
The normal model is a good fit because 85% of the data are less than the value at the +1σ
point, and the model predicts 84%.
The normal model is a good fit because 85% of the data are less than the value at the plus 1 sigma point, and the model predicts 84%.
The normal model is a good fit because 85% of the data are less than the value at the +1σ
point, and the model predicts 68%.
The normal model is a good fit because 85% of the data are less than the value at the plus 1 sigma point, and the model predicts 68%.
The normal model is not a good fit because 45% of the data are less than the mean, and the model predicts 50%.