The data below represent the means from 15 sample control charts for the amount of time in minutes it takes students to complete a quiz in a basic statistics course.The same quiz was given to 15 different sections of a basic statistics course.Five students were sampled from each class and each mean is shown below. What is the value of the upper control limit?
A)16.71
B)2.83
C)9.77
D)None of the above

Question

The data below represent the means from 15 sample control charts for the amount of time in minutes it takes students to complete a quiz in a basic statistics course.The same quiz was given to 15 different sections of a basic statistics course.Five students were sampled from each class and each mean is shown below.  What is the value of the upper control limit?
A)16.71 
B)2.83 
C)9.77 
D)None of the above

Quizplus · Accepted Answer

The upper control limit can be found using the formula: UCL = x̄ + 3σ/√n, where x̄ is the mean of the sample means, σ is the standard deviation of the sample means, and n is the sample size (number of students in each class).

Using the given data, we have:
x̄ = 9.77
σ = 2.83
n = 5

Substituting these values into the formula, we get:
UCL = 9.77 + 3(2.83)/√5
UCL ≈ 16.71

Therefore, the value of the upper control limit is approximately 16.71.

The Data Below Represent the Means from 15 Sample Control