Suppose that, as a researcher, you're interested in the possible interplay between age and face recognition. You choose 75 participants, 15 of whom are young children, 15 of whom are teenagers, 15 of whom are in their thirties, 15 of whom are middle-aged, and 15 of whom are senior citizens. You let each participant examine a collection of 35 photographs of faces of college students. You then test the participant by presenting, on a computer display and one at a time, a sequence of 70 faces (some familiar and some new). You ask the participant to identify each presented face as being part of the original collection or not part of the original collection. You record the total time (in seconds) that each participant takes to make all 70 of her responses. These times are summarized here: Group Young children Teenagers In their thirties Middle-aged Senior citizens Sample Sample Sample size mean variance 15 15 15 15 15 68.0 70.8 63,4 68.9 65.1 62.8 28.4 23.3 36.9 52.3 Send data to calculator Suppose that the populations of times for each of the five age groups represented in this experiment are approximately normally distributed and have the same mean and the same variance. Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place. (6) Give an estimate of this common population variance based on the variance of the sample means given (b) Give an estimate of this common population variance by pooling the sample variances given 0 Español no

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Suppose that, as a researcher, you're interested in the possible interplay between age and face recognition. You choose 75 participants, 15 of whom are young
children, 15 of whom are teenagers, 15 of whom are in their thirties, 15 of whom are middle-aged, and 15 of whom are senior citizens. You let each participant
examine a collection of 35 photographs of faces of college students. You then test the participant by presenting, on a computer display and one at a time, a
sequence of 70 faces (some familiar and some new). You ask the participant to identify each presented face as being part of the original collection or not part of
the original collection.
You record the total time (in seconds) that each participant takes to make all 70 of her responses. These times are summarized here:
Group
Young
children
Teenagers
In their
thirties
Middle-aged
Senior
citizens
Sample
size
15
15
Continue
15
15
15
Sample Sample
mean variance
68.0
62.8
70.8
63,4
65.1
28.4
23.3
36.9
52.3
Send data to calculator
Suppose that the populations of times for each of the five age groups represented in this experiment are approximately normally distributed and have the same
mean and the same variance.
Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place.
(a) Give an estimate of this common population variance based
on the variance of the sample means given
(b) Give an estimate of this common population variance by
pooling the sample variances given.
0
Español
had
Transcribed Image Text:Suppose that, as a researcher, you're interested in the possible interplay between age and face recognition. You choose 75 participants, 15 of whom are young children, 15 of whom are teenagers, 15 of whom are in their thirties, 15 of whom are middle-aged, and 15 of whom are senior citizens. You let each participant examine a collection of 35 photographs of faces of college students. You then test the participant by presenting, on a computer display and one at a time, a sequence of 70 faces (some familiar and some new). You ask the participant to identify each presented face as being part of the original collection or not part of the original collection. You record the total time (in seconds) that each participant takes to make all 70 of her responses. These times are summarized here: Group Young children Teenagers In their thirties Middle-aged Senior citizens Sample size 15 15 Continue 15 15 15 Sample Sample mean variance 68.0 62.8 70.8 63,4 65.1 28.4 23.3 36.9 52.3 Send data to calculator Suppose that the populations of times for each of the five age groups represented in this experiment are approximately normally distributed and have the same mean and the same variance. Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place. (a) Give an estimate of this common population variance based on the variance of the sample means given (b) Give an estimate of this common population variance by pooling the sample variances given. 0 Español had
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