A random sample of 9 subjects was asked to perform a given task. The time in seconds it took each of them to complete the task is recorded below.25, 31, 36, 31, 43, 37, 30, 50, 31Send data to ExcelSend data to calculatorIf we assume that the completion times are normally distributed, find a 95% confidence interval for the true mean completion time for this task. Thenfind the lower limit and upper limit of the 95% confidence interval.Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list offormulas.)Lower limit: I?Upper limit:

Name: A random sample of 9 subjects was asked to perform a given task. The
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Description: A random sample of 9 subjects was asked to perform a given task. The time in seconds it took each of them to complete the task is recorded below.25, 31, 36, 31, 43, 37, 30, 50, 31Send data to ExcelSend data to calculatorIf we assume that the complet

Answered: A random sample of 9 subjects was asked…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random sample of 9 subjects was asked to perform a given task. The time in seconds it took each of them to complete the task is recorded below.
25, 31, 36, 31, 43, 37, 30, 50, 31
Send data to Excel
Send data to calculator
If we assume that the completion times are normally distributed, find a 95% confidence interval for the true mean completion time for this task. Then
find the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of
formulas.)
Lower limit: I
?
Upper limit:

Expert Solution

Step 1

Let $μ$ denotes the true mean completion time for this task.

The descriptive analysis is conducted using EXCEL. The software procedure is given below:

Enter the data.
Select Data > Data Analysis >Descriptive Statistics> OK.
Enter Input Range as Time column.
Mark Labels in First Row.
Mark Summary Statistics.
Click OK.

The output using EXCEL is as follows:

From the output, the mean is 34.8889, and the standard deviation is 7.6394.

The degrees of freedom is,

$\begin{array}{rcl} d f & = & n - 1 \\ = & 9 - 1 \\ = & 8 \end{array}$

The degrees of freedom is 8.

Computation of critical value:

The critical value of t-distribution for 0.05 level of significance at 8 degrees of freedom can be obtained using the excel formula “=T.INV.2T(0.05,8)”. The critical value is 2.3060.

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