b. Construct an approximate 95% confidence interval for Hsentences Mintentional Lower bound= Upper bound uld be:

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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 t
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.
We are interested in drawing inference on the difference in the population average number of words recalled for subjects in the "sentences" group vs. subjects in the "intentional" group. The data is in the table below.
Number of words recalled
"Sentences" group
33
32
28 27 30
30 28
28
"Intentional" group
33
34
35
30
33
30 32 28
(For these questions, round all numeric answers to three decimal places)
a. Enter the values for the following statistics:
Xsentences = 29.5
Ssentences= 2.138
Xintentional- 31.875
Sintentional = 2.357
(Xsentences - Xintentional) = -2.375
standard error of (Xgentences Xintentional) =
b. Construct an approximate 95% confidence interval for Hsentences Hintentional
Lower bound =
Upper bound =
e. From these results, our statistical conclusion should be:
(You have two attempts at this question."
O we have good evidence that Msentences
smaller than intentional, because both ends of the 95% CI are positive.
• We have good evidence that Hsentences is smaller than intentional, because both ends of the 95% CI are negative
O We don't have good evidence about whether Hsentences is greater or smaller than Mintentional, because both ends of the 95% Cl are negative.
O we don't have good evidence about whether Hgentences is greater or smaller than Mintentional, because both ends of the 95% CI are positive.
O we have good evidence that sentences is smaller than Mintentional because one end of the 95% CI is negative and the other is positive.
O We have don't have good evidence about whether Heentences is greater or smaller than ntentional, because one end of the 95% CI is negative and the other is positive.
Transcribed Image Text: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 t 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. We are interested in drawing inference on the difference in the population average number of words recalled for subjects in the "sentences" group vs. subjects in the "intentional" group. The data is in the table below. Number of words recalled "Sentences" group 33 32 28 27 30 30 28 28 "Intentional" group 33 34 35 30 33 30 32 28 (For these questions, round all numeric answers to three decimal places) a. Enter the values for the following statistics: Xsentences = 29.5 Ssentences= 2.138 Xintentional- 31.875 Sintentional = 2.357 (Xsentences - Xintentional) = -2.375 standard error of (Xgentences Xintentional) = b. Construct an approximate 95% confidence interval for Hsentences Hintentional Lower bound = Upper bound = e. From these results, our statistical conclusion should be: (You have two attempts at this question." O we have good evidence that Msentences smaller than intentional, because both ends of the 95% CI are positive. • We have good evidence that Hsentences is smaller than intentional, because both ends of the 95% CI are negative O We don't have good evidence about whether Hsentences is greater or smaller than Mintentional, because both ends of the 95% Cl are negative. O we don't have good evidence about whether Hgentences is greater or smaller than Mintentional, because both ends of the 95% CI are positive. O we have good evidence that sentences is smaller than Mintentional because one end of the 95% CI is negative and the other is positive. O We have don't have good evidence about whether Heentences is greater or smaller than ntentional, because one end of the 95% CI is negative and the other is positive.
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