JUst asthat youBack22.424.0at is theCalculate the F ratio and compare it to theis the effect on the F ratio of doubling the27.0Fratio you calculated for Exercise 5. Whatinmongneedthehe folloSne-waystandard deviations?e7A psychologist is studyingvarious drugs on the speed of mentalare divided equally into four drug condi-lems as he or she can in 10 minutes. Themean number of problems solved follows fortheof the incdceffectsexploratory study, 32selects sismetic. In anllustratifheofarithsubjectsnot all ttions, and each subject solvesas many prob-each drug group,along with the standarddeviations:А psya childeficiMarijuana AmphetamineValiumX7Alcohol5pare3.253.954sycof 1six y3.162.07a. Calculate the F ratio.b. Find the critical F (a = .05).C. What can you conclude with respect to thenull hypothesis?optireselate8. If the study in Exercise 7 were repeated withyoua total of 64 subjects:a. What would be the new value for calcu-lated F?b.

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Asked Nov 12, 2019
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7 part a, b, and c

JUst as
that you
Back
22.4
24.0
at is the
Calculate the F ratio and compare it to the
is the effect on the F ratio of doubling the
27.0
Fratio you calculated for Exercise 5. What
in
mong
need
the
he follo
S
ne-way
standard deviations?
e7A psychologist is studying
various drugs on the speed of mental
are divided equally into four drug condi-
lems as he or she can in 10 minutes. The
mean number of problems solved follows for
the
of the inc
dc
effects
exploratory study, 32
selects s
is
metic. In an
llustrat
if
he
of
arith
subjects
not all t
tions, and each subject solves
as many prob-
each drug group,
along with the standard
deviations:
А psy
a chil
defici
Marijuana Amphetamine
Valium
X
7
Alcohol
5
pare
3.25
3.95
4
syc
of 1
six y
3.16
2.07
a. Calculate the F ratio.
b. Find the critical F (a = .05).
C. What can you conclude with respect to the
null hypothesis?
opti
rese
late
8. If the study in Exercise 7 were repeated with
you
a total of 64 subjects:
a. What would be the new value for calcu-
lated F?
b.
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JUst as that you Back 22.4 24.0 at is the Calculate the F ratio and compare it to the is the effect on the F ratio of doubling the 27.0 Fratio you calculated for Exercise 5. What in mong need the he follo S ne-way standard deviations? e7A psychologist is studying various drugs on the speed of mental are divided equally into four drug condi- lems as he or she can in 10 minutes. The mean number of problems solved follows for the of the inc dc effects exploratory study, 32 selects s is metic. In an llustrat if he of arith subjects not all t tions, and each subject solves as many prob- each drug group, along with the standard deviations: А psy a chil defici Marijuana Amphetamine Valium X 7 Alcohol 5 pare 3.25 3.95 4 syc of 1 six y 3.16 2.07 a. Calculate the F ratio. b. Find the critical F (a = .05). C. What can you conclude with respect to the null hypothesis? opti rese late 8. If the study in Exercise 7 were repeated with you a total of 64 subjects: a. What would be the new value for calcu- lated F? b.

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Expert Answer

Step 1

Here, denote µ1, µ2, µ3, µ4  as mean number of problems solved by the four groups.

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Null hypothesis: Ho 424= 4 That is, the mean number of problems solved is same for all groups Alternative hypothesis HaAt least one 's are not equal Here, the sample sizes for four groups are n 8n 8,n 8 andn 8. The degrees of freedom for groups is 3 (=4-1), the degrees of freedom for total is 31 (32-) and the error degrees of freedom is 27(31-4) wwe w

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Step 2

Sum of squares of treatment:

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SST Ση (Σ - 3) =8(7-6)+8(8-6)+8 (5-6) +8(4-6) = 8+32 +8+32 80

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Step 3

Sum of squares o...

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sSE =(n-1)s =(8-1)x3.25+(8-1)x3.95° +(8-1)x3.16° +(8-1)x2.07] = 73.9375 +109.2175 +69.8992+29.9943 = 283.0485

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