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.

"Sentences" group |
31 | 27 | 33 | 29 | 31 | 33 | 30 | 28 |

"Intentional" group |
32 | 32 | 30 | 30 | 32 | 28 | 36 | 32 |

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. The appropriate null/alternative hypothesis pair for this study
is:

(you have two attempts at this question)

H_{0}: *μ*_{d} = 0 ; H_{A}:
*μ*_{d} ≠ 0H_{0}:
*μ*_{sentences} - *μ*_{intentional} =
0 ; H_{A}: *μ*_{sentences} -
*μ*_{intentional} > 0 Ho:
*μ*_{sentences} - *μ*_{intentional} =
0 ; H_{A}: *μ*_{sentences} -
*μ*_{intentional} < 0H_{0}:
*μ*_{sentences} - *μ*_{intentional} =
0 ; H_{A}: *μ*_{sentences} -
*μ*_{intentional} ≠ 0H_{0}:
*μ*_{d} = 0 ; H_{A}: *μ*_{d}
> 0H_{0}: *μ*_{d} = 0 ; H_{A}:
*μ*_{d} < 0

b. Enter the values for the following statistics:

*x*_{sentences} =

s_{sentences} =

*x*_{intentional} =

s_{intentional} =

(*x*_{sentences} - *x*_{intentional})
=

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 =

d. From these results, our statistical conclusion should be:

(You have two attempts at this question.)

The means for "sentences" and "intentional" differ
significantly, because the p-value is less than *α* and zero
is inside the confidence interval

The means for "sentences" and "intentional" differ
significantly, because the p-value is less than *α* and zero
is outside the confidence interval

The means for "sentences" and "intentional" differ
significantly, because the p-value is less than *α* and
-1.25 is inside the confidence interval

The means for "sentences" and "intentional" differ
significantly, because the p-value is less than *α* and
-1.25 is outside the confidence interval

The means for "sentences" and "intentional" do not differ
significantly, because the p-value is greater than *α* and
zero is inside the confidence interval

The means for "sentences" and "intentional" do not differ
significantly, because the p-value is greater than *α* and
zero is outside the confidence interval

The means for "sentences" and "intentional" do not differ
significantly, because the p-value is greater than *α* and
-1.25 is inside the confidence interval

The means for "sentences" and "intentional" do not differ
significantly, because the p-value is greater than *α* and
-1.25 is outside the confidence interval

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