A researcher wants to test the effect of amount of sleep on memory. There are four groups: 2 hours of sleep, 4 hours of sleep, 6 hours of sleep, and 8 hours of sleep. Each group contains 5 people, for a total sample size of 20. Participants in the four groups are allowed to sleep only the number of hours assigned to the group the night before the test. On the day of the test, they are given a series of numbers and are tested on their ability to remember the numbers. The scores on the memory test are shown below: Group 1, 2 hours sleep: 2, 3, 4, 5, 6 (Mean: 4) Group 2, 4 hours sleep: 2, 3, 4, 7, 8 (Mean: 4.8) Group 3, 6 hours sleep: 9, 10, 10, 11, 13 (Mean: 10.6) Group 4, 8 hours sleep: 9, 10, 10, 10, 13 (Mean: 10.4)

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Scenario:
A researcher wants to test the effect of amount of sleep on
memory. There are four groups: 2 hours of sleep, 4 hours of
sleep, 6 hours of sleep, and 8 hours of sleep. Each group
contains 5 people, for a total sample size of 20. Participants in
the four groups are allowed to sleep only the number of hours
assigned to the group the night before the test. On the day of
the test, they are given a series of numbers and are tested on
their ability to remember the numbers. The scores on the
memory test are shown below:
Group 1, 2 hours sleep: 2, 3, 4, 5, 6 (Mean: 4)
Group 2, 4 hours sleep: 2, 3, 4, 7, 8 (Mean: 4.8)
Group 3, 6 hours sleep: 9, 10, 10, 11, 13 (Mean: 10.6)
Group 4, 8 hours sleep: 9, 10, 10, 10, 13 (Mean: 10.4)
ss df
Source
MS
F
Crit. F(.05)
62.5833 18.14
Between 187.75
3.24
Within
55.2
16
Total
242.95
Tukey's HSD Test [.05] = 3.36
Transcribed Image Text:Scenario: A researcher wants to test the effect of amount of sleep on memory. There are four groups: 2 hours of sleep, 4 hours of sleep, 6 hours of sleep, and 8 hours of sleep. Each group contains 5 people, for a total sample size of 20. Participants in the four groups are allowed to sleep only the number of hours assigned to the group the night before the test. On the day of the test, they are given a series of numbers and are tested on their ability to remember the numbers. The scores on the memory test are shown below: Group 1, 2 hours sleep: 2, 3, 4, 5, 6 (Mean: 4) Group 2, 4 hours sleep: 2, 3, 4, 7, 8 (Mean: 4.8) Group 3, 6 hours sleep: 9, 10, 10, 11, 13 (Mean: 10.6) Group 4, 8 hours sleep: 9, 10, 10, 10, 13 (Mean: 10.4) ss df Source MS F Crit. F(.05) 62.5833 18.14 Between 187.75 3.24 Within 55.2 16 Total 242.95 Tukey's HSD Test [.05] = 3.36
Directions:
Read the scenario to the right, then fill in the blanks in
the table to the lower right and answer the questions
below by selecting the correct answer.
1: Compare the F value to the critical value given
in the table. Is the result of this test statistically
significant?
Yes
No
2: Should a Tukey's HSD post hoc test be performed?
Yes
No
3: According to the HSD results, is there a
significant difference between group 1 and group 2?
Yes
No
4: According to the HSD results, is there a
significant difference between group 1 and group
37
Yes
No
Transcribed Image Text:Directions: Read the scenario to the right, then fill in the blanks in the table to the lower right and answer the questions below by selecting the correct answer. 1: Compare the F value to the critical value given in the table. Is the result of this test statistically significant? Yes No 2: Should a Tukey's HSD post hoc test be performed? Yes No 3: According to the HSD results, is there a significant difference between group 1 and group 2? Yes No 4: According to the HSD results, is there a significant difference between group 1 and group 37 Yes No
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