comparison betw species: Biologists comparing the gestation perod of newly discovered species of frog collected data from 15 frogs of species A and 23 frogs of species B. Species A exhibited an average gestation period of 11 days with a standard deviation of 3.6 days while species B had a gestation period of 15 days and a standard deviation of 3.6 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 = 0.1.

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A comparison between species: Biologists comparing the gestation period of two newly discovered species
of frog collected data from 15 frogs of species A and 23 frogs of species B. Species A exhibited an average
gestation period of 11 days with a standard deviation of 3.6 days while species B had a gestation period of
15 days and a standard deviation of 3.6 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 = 0.1.
a) The hypotheses for this test are:
O Ho: H8 = 11
Hạ: HB = 11
O Họ: HA - Hs = 0
Ha: HA - HB < 0
O Ho: HA - Hs = 0
Hạ: HA - HB = 0
O Hg: HA - H3 = 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 Ho 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 The lengths of the gestational periods are the same.
O There is significant evidence that suggests no difference in the lengths of the gestational periods.
O There is not significant evidence to suggest a difference between the lengths of the two species'
gestational periods
Transcribed Image Text:A comparison between species: Biologists comparing the gestation period of two newly discovered species of frog collected data from 15 frogs of species A and 23 frogs of species B. Species A exhibited an average gestation period of 11 days with a standard deviation of 3.6 days while species B had a gestation period of 15 days and a standard deviation of 3.6 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 = 0.1. a) The hypotheses for this test are: O Ho: H8 = 11 Hạ: HB = 11 O Họ: HA - Hs = 0 Ha: HA - HB < 0 O Ho: HA - Hs = 0 Hạ: HA - HB = 0 O Hg: HA - H3 = 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 Ho 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 The lengths of the gestational periods are the same. O There is significant evidence that suggests no difference in the lengths of the gestational periods. O There is not significant evidence to suggest a difference between the lengths of the two species' gestational periods
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