Question

An experiment on memory was performed, in which 16 subjects were randomly assigned to one of two groups, called "Sentences" or "Intentional". Each subject was given a list of 50 words. Subjects in the "Sentences" group were told to form multiple sentences, each using at least two words from the list, and to keep forming sentences until all the words were used at least once. Subjects in the "Intentional" group were told to spend five minutes memorizing as many of the 50 words as possible. Subjects from both groups were then asked to write down as many words from their lists as they could recall. The data are in the table below.

Number of words recalled
"Sentences" group	31	33	27	35	32	32	30	28
"Intentional" group	35	35	32	30	33	33	33	36

Enter this data into JMP in "long form" (e.g. each column should be a variable and each row should be an observation).  
IMPORTANT: to format this data correctly, you need to think about what your two variables are (they are not 'Sentences' and 'Intentional'). You may want to look at how the deflategate data are formatted if you have trouble figuring this out.

We are interested in determining if there is a significant difference in the average number of words recalled for subjects in the "sentences" group vs. subjects in the "intentional" group, using α = 0.05. Use JMP to answer the questions below, and round all answers to three decimal places.

a. Enter the values for the following statistics:

x_sentences = 31
s_sentences =  2.619
x_intentional = 33.375
s_intentional =  1.923
(x_sentences - x_intentional) =  -2.375
standard error of (x_sentences - x_intentional) =          (you have to use 'Analyze / Fit Y by X' to get JMP to calculate this)
test statistic: t =  
p-value =  

c. Report the 95% confidence interval JMP gives for μ_sentences - μ_intentional

Lower bound =  
Upper bound =  

Answer 1

Using Minitab:

Click Stat > Basic Statistics > Paired t... on the top menu, as shown below:

You will be presented with the following Paired t (Test and Confidence Interval) dialogue box:

Enter one related group. You will end up with the dialogue box shown below:

Click the OK button. The output that Minitab produces is shown below.

test statistic: t =   -1.78
P-Value = 0.119

95% confidence interval JMP gives for μ_sentences - μ_intentional

Lower bound =  -5.53
Upper bound =  0.78

Hope this will be helpful. Thanks and God Bless You :)