Mean and Standard Deviation AP Statistics Question: Statistics Answers 2021

Mean and Standard Deviation AP Statistics Question: Statistics Answers 2021

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Mean and Standard Deviation AP Statistics Question

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4) A large pet store buys the identical species of adult tropical fish from two different suppliers Best-Buy Pets
and Fishy-Friends. The manager of the pet store suspects that the lengths of the fish from Best-Buy Pets are
consistently greater than the lengths of the fish from Fishy Friends. Random samples of 8 adult fish of the species
from Fishy-Friends and 10 adult fish of the same species from Best-Buy Pets were selected and the lengths of the
fish, in inches, were recorded, as shown in the table below.
Length of Fish
Mean
Standard deviation
3.2, 3.9, 4.2, 3.3, 4.0, 3.6, 3.4, 3.7, 3.7, 3.6
3.660
0.313
Best-Buy Pets
n=10
3.4, 2.7, 3.3, 3.9, 3.5, 3.4, 3.0, 3.8
3.375
0.392
Fishy Friends
n=8
Do the data provide convincing evidence that the mean length of the adult fish of the species from Best-Buy Pets
is greater than the mean length of the adult fish of the same species from Fishy Friends?
t = Xpre
7
SB
+
+
V
DO?
3.46-340
5,2585
S? ?
5502
.4347
p=.3996
ne
no
3
df = 15.9999
conclude: since prave na
3996>.05, we fail to reject the
null hypothesis there
sufficent evidence to say
nean vingth of the adult species
ith friends is
length
of the
greater than the
adult bosh firin -471C 510
Hal impact
12
at
the true
??
?? ? .
3. A large pet store buys the identical species of adult tropical fish from two different suppliers?Buy-Rite Pets and Fish
Friends. Several of the managers at the pet store suspect that the lengths of the fish from Fish Friends are consistently
greater than the lengths of the fish from Buy-Rite Pets. Random samples of 8 adult fish of the species from Buy-Rite Pets
and 10 adult fish of the same species from Fish Friends were selected and the lengths of the fish, in inches, were recorded,
as shown in the table below.
Buy-Rite Pets
Fish Friends
Length of Fish
3.4, 2.7, 3.3, 4.1, 3.5, 3.4, 3.0, 3.8
3.3, 2.9, 4.2, 3.1, 4.2, 4.0, 3.4, 3.2, 3.7, 2.6
Mean
3.40
3.46
Standard Deviation
0.434
0.550
Do the data provide convincing evidence that the mean length of the adult fish of the species from Fish Friends is greater
than the mean length of the adult fish of the same species from Buy-Rite Pets?
Parameter: We are interested in comparing the true mean length, ui, of adult fish from Buy-Rite Pets with the true mean
length, U2, of adult fish from Fish Friends.
Hypotheses: Ho: 41 = 42
Ha: V1 0.05
Conclusion: We have insufficient evidence to support the claim adult fish from Fish Friends have a longer mean length.

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