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

Number of words recalled

"Sentences" group	34	29	36	36	33	30	33	31
"Intentional" group	40	35	32	33	34	37	37	35

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

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

a. The appropriate null/alternative hypothesis pair for this studyis:
(you have two attempts at this question)

H₀: ?_sentences -?_intentional = 0 ; H_A:?_sentences - ?_intentional ?0Ho: ?_sentences -?_intentional = 0 ; H_A:?_sentences - ?_intentional< 0    H₀: ?_d= 0 ; H_A: ?_d ? 0H₀:?_sentences - ?_intentional =0 ; H_A: ?_sentences -?_intentional > 0H₀:?_d = 0 ; H_A: ?_d< 0H₀: ?_d = 0 ; H_A:?_d > 0

b. Enter the values for the following statistics:

x_sentences = (No Response)
s_sentences = (No Response)
x_intentional = (No Response)
s_intentional = (No Response)
(x_sentences - x_intentional)= (No Response)
standard error of (x_sentences -x_intentional) = (No Response) (youhave to use 'Analyze / Fit Y by X' to get JMP to calculatethis)
test statistic: t = (No Response)
p-value = (No Response)

c. Report the 95% confidence interval JMP gives for?_sentences -?_intentional

Lower bound = (No Response)
Upper bound = (No Response)

d. From these results, our statistical conclusion should be:
(You have two attempts at this question.)

The means for "sentences" and "intentional" differsignificantly, because the p-value is less than ? and zerois inside the confidence intervalThe means for "sentences" and"intentional" differ significantly, because the p-value is lessthan ? and zero is outside the confidenceinterval    The means for "sentences" and"intentional" differ significantly, because the p-value is lessthan ? and -2.625 is inside the confidence intervalThemeans for "sentences" and "intentional" differ significantly,because the p-value is less than ? and -2.625 is outsidethe confidence intervalThe means for "sentences" and "intentional"do not differ significantly, because the p-value is greater than? and zero is inside the confidence intervalThe means for"sentences" and "intentional" do not differ significantly, becausethe p-value is greater than ? and zero is outside theconfidence intervalThe means for "sentences" and "intentional" donot differ significantly, because the p-value is greater than? and -2.625 is inside the confidence intervalThe meansfor "sentences" and "intentional" do not differ significantly,because the p-value is greater than ? and -2.625 isoutside the confidence interval