of frog collected data from 13 frogs of species A and 24 frogs of species B. Species A exhibited an average gestation period of 14 days with a standard deviation of 3.8 days while species B had a gestation period of 19 days and a standard deviation of 5 days. The researchers want to know whether the average lengths of the gestational periods differ between the two species. Conduct a hypothesis test at a significance level of a = 0.01. a) The hypotheses for this test are: O Ho: H8 = 14 Ha: Hg = 14 O Họ: HA - H8 = 0 Hạ: HA - HB < 0 %3D O Ho: HA - H8 = 0 Ha: HA · HB > 0 O Ho: HA - H8 = 0 Ha: HA · HB * 0 %3D What is the test statistic for this test? test statistic = |(Report answer accurate to 2 decimal places.) What is the p-value for this test? p-value = (Report answer accurate to 4 decimal places.) The decision reached is O Fail to reject Ho O Reject Ho and accept H, As such, the final conclusion is that O There is significant evidence to suggest a difference between the lengths of the two species' gestational periods O There is not significant evidence to suggest a difference between the lengths of the two species' gestational periods O There is significant evidence that suggests no difference in the lengths of the gestational periods. O The lengths of the gestational periods are the same.

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A comparison between species: Biologists comparing the gestation period of two newly discovered species
of frog collected data from 13 frogs of species A and 24 frogs of species B. Species A exhibited an average
gestation period of 14 days with a standard deviation of 3.8 days while species B had a gestation period of
19 days and a standard deviation of 5 days. The researchers want to know whether the average lengths of
the gestational periods differ between the two species. Conduct a hypothesis test at a significance level of
a = 0.01.
a) The hypotheses for this test are:
O Họ: H8 =
= 14
H3: H8 - 14
O Họ: HA - H3 = 0
Hạ: HA - HB < 0
O Ho: HA - H8 = 0
Hạ: HA - HB > 0
O Họ: HA - H8 = 0
Hạ: HA - HB * 0
What is the test statistic for this test?
test statistic =
(Report answer accurate to 2 decimal places.)
What is the p-value for this test?
p-value -
(Report answer accurate to 4 decimal places.)
The decision reached is
O Fail to reject Ho
O Reject H, and accept Ha
As such, the final conclusion is that
O There is significant evidence to suggest a difference between the lengths of the two species'
gestational periods
O There is not significant evidence to suggest a difference between the lengths of the two species'
gestational periods
O There is significant evidence that suggests no difference in the lengths of the gestational periods.
O The lengths of the gestational periods are the same.
Transcribed Image Text:A comparison between species: Biologists comparing the gestation period of two newly discovered species of frog collected data from 13 frogs of species A and 24 frogs of species B. Species A exhibited an average gestation period of 14 days with a standard deviation of 3.8 days while species B had a gestation period of 19 days and a standard deviation of 5 days. The researchers want to know whether the average lengths of the gestational periods differ between the two species. Conduct a hypothesis test at a significance level of a = 0.01. a) The hypotheses for this test are: O Họ: H8 = = 14 H3: H8 - 14 O Họ: HA - H3 = 0 Hạ: HA - HB < 0 O Ho: HA - H8 = 0 Hạ: HA - HB > 0 O Họ: HA - H8 = 0 Hạ: HA - HB * 0 What is the test statistic for this test? test statistic = (Report answer accurate to 2 decimal places.) What is the p-value for this test? p-value - (Report answer accurate to 4 decimal places.) The decision reached is O Fail to reject Ho O Reject H, and accept Ha As such, the final conclusion is that O There is significant evidence to suggest a difference between the lengths of the two species' gestational periods O There is not significant evidence to suggest a difference between the lengths of the two species' gestational periods O There is significant evidence that suggests no difference in the lengths of the gestational periods. O The lengths of the gestational periods are the same.
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