Question

An automobile manufacturer wants to assess a new style of visual display to see if it changes the amount of reported eye-strain among long-distance drivers. In the study, sixteen people use a driving simulator with the standard display, and later, the same sixteen people use the simulator again, but this time the new style of display is present. The dependent variable is the reported eye strain, reported on a scale of 1 (extreme strain) to 15 (no eye strain). Does the new display differ in terms of reported eye strain? d = New style-old style mean difference = 3.8 standard deviation of the difference scores - 1.36. Using the information above, perform the appropriate test with alpha - .05 and match the statistics below with the correct value. Be sure to round the standard error to two decimal places in the calculation.
Premise Response
standard error = A 3.15
t-statistic → = B 7.20
= C 11.18
= D .95
= E 11.38

Answer 1

Answer:

Standard error = 0.34

t-statistic = 11.18

Step-by-step explanation:

Given Data:

Mean difference d = 3.8

Standard deviation S.D = 1.36

Number of people = 16

The appropriate test are:

1. Standard error

2. T- statistic

1. Calculating the standard error using the formula;

Standard error = S.D/√n

                         = 1.36/√16

                          = 1.36/4

                           = 0.34

2. Calculating the t-statistic using the formula;

t-statistic = d/(S.D/√n)

              = 3.8/(1.36/√16)

              = 3.8/(1.36/4)

              = 3.8/0.34

               = 11.18