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 wordsrecalled \"Sentences\" group 29 30 35 33 32 29 33 34 \"Intentional\"group 31 36 36 32 34 33 30 33 Enter this data into JMP in \"longform\" (e.g. each column should be a variable and each row should bean observation). We are interested in determining if there is asignificant difference in the average number of words recalled forsubjects in the \"sentences\" group vs. subjects in the \"intentional\"group, using α = 0.05. Use JMP to answer the questions below, andround all answers to three decimal places.

standard error of (x_sentences -x_intentional) =
test statistic: t =  
p-value =  

Report the 95% confidence interval JMP gives forμ_sentences -μ_intentional

Lower bound =  
Upper bound =

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

a.The means for \"sentences\" and \"intentional\" differsignificantly, because the p-value is less than α and zerois inside the confidence interval

b. The means for \"sentences\" and \"intentional\" differsignificantly, because the p-value is less than α and zerois outside the confidence interval  

c. The means for \"sentences\" and \"intentional\" differsignificantly, because the p-value is less than α and-1.25 is inside the confidence interval

d. The means for \"sentences\" and \"intentional\" differsignificantly, because the p-value is less than α and-1.25 is outside the confidence interval

e.The means for \"sentences\" and \"intentional\" do not differsignificantly, because the p-value is greater than α andzero is inside the confidence interval

f.The means for \"sentences\" and \"intentional\" do not differsignificantly, because the p-value is greater than α andzero is outside the confidence interval

g.The means for \"sentences\" and \"intentional\" do not differsignificantly, because the p-value is greater than α and-1.25 is inside the confidence interval

h. The means for \"sentences\" and \"intentional\" do not differsignificantly, because the p-value is greater than α and-1.25 is outside the confidence interval