Parents are frequently concerned when their child seems slow to begin walking (although when the child finally walks, the resulting havoc sometimes has the parents wishing they could turn back the clock!). An article on this topic reported on an experiment in which the effects of several different treatments on the age at which a child first walks were compared. Children in the first group were given special walking exercises for 12 minutes per day beginning at age 1 week and lasting 7 weeks. The second group of children received daily exercises but not the walking exercises administered to the first group. The third and fourth groups were control groups. They received no special treatment and differed only in that the third group's progress was checked weekly, whereas the fourth group's progress was checked just once at the end of the study. Observations on age (in months) when the children first walked are shown in the accompanying table. Age Total Treatment 1 9.00 9.50 9.75 6 61.50 10.00 13.75 9.50 Treatment 2 11.00 10.00 10.00 6 68.25 11.75 10.50 15.00 Treatment 3 11.50 12.75 9.00 6. 71.00 11.50 13.25 13.00 Treatment 4 13.25 11.50 12.00 61.75 13.50 11.50

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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16.1#8
State the test statistic and P-value. (Use technology. Round your answers to three decimal places.)
F=P-value=
Parents are frequently concerned when their child seems slow to begin walking (although when the child finally walks, the resulting
havoc sometimes has the parents wishing they could turn back the clock!). An article on this topic reported on an experiment in
which the effects of several different treatments on the age at which a child first walks were compared. Children in the first group
were given special walking exercises for 12 minutes per day beginning at age 1 week and lasting 7 weeks. The second group of
children received daily exercises but not the walking exercises administered to the first group. The third and fourth groups were
control groups. They received no special treatment and differed only in that the third group's progress was checked weekly, whereas
the fourth group's progress was checked just once at the end of the study. Observations on age (in months) when the children first
walked are shown in the accompanying table.
Age
Total
Treatment 1
9.00
9.50
9.75
61.50
10.00
13.75
9.50
Treatment 2
11.00
10.00
10.00
68.25
11.75
10.50
15.00
Treatment 3
11.50
12.75
9.00
71.00
11.50
13.25
13.00
Treatment 4
13.25
11.50
12.00
61.75
13.50
11.50
(a) Find the missing entries in the ANOVA table. (Use technology. Round your answers to three decimal places.)
Source of
variation
Degrees of
freedom
Sum of
Mean
F Ratio
F Prob
squares
squares
Between Groups
Within Group
19
Total
22
Transcribed Image Text:Parents are frequently concerned when their child seems slow to begin walking (although when the child finally walks, the resulting havoc sometimes has the parents wishing they could turn back the clock!). An article on this topic reported on an experiment in which the effects of several different treatments on the age at which a child first walks were compared. Children in the first group were given special walking exercises for 12 minutes per day beginning at age 1 week and lasting 7 weeks. The second group of children received daily exercises but not the walking exercises administered to the first group. The third and fourth groups were control groups. They received no special treatment and differed only in that the third group's progress was checked weekly, whereas the fourth group's progress was checked just once at the end of the study. Observations on age (in months) when the children first walked are shown in the accompanying table. Age Total Treatment 1 9.00 9.50 9.75 61.50 10.00 13.75 9.50 Treatment 2 11.00 10.00 10.00 68.25 11.75 10.50 15.00 Treatment 3 11.50 12.75 9.00 71.00 11.50 13.25 13.00 Treatment 4 13.25 11.50 12.00 61.75 13.50 11.50 (a) Find the missing entries in the ANOVA table. (Use technology. Round your answers to three decimal places.) Source of variation Degrees of freedom Sum of Mean F Ratio F Prob squares squares Between Groups Within Group 19 Total 22
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