A comparison between species: Biologists comparing the gestation period of two newly discovered species of frog collected data from 11 frogs of species A and 24 frogs of species B. Species A exhibited an average gestation period of 12 days with a standard deviation of 3.2 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 = 0.01. a) The hypotheses for this test are: O Họ: HA - H8 = 0 Hạ: HA - H8 > 0 O Họ: HB = 12 Hạ: H8 = 12 O Họ: HA - PB = 0 Ha: HA - PB < 0 %3D 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 Reject Ho and accept Ha As such, the final conclusion is that 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. O There is significant evidence to suggest a difference between the lengths of the two species' gestational periods

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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A comparison between species: Biologists comparing the gestation period of two newly discovered species
of frog collected data from 11 frogs of species A and 24 frogs of species B. Species A exhibited an average
gestation period of 12 days with a standard deviation of 3.2 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 = 0.01.
a) The hypotheses for this test are:
O Họ: HA - HB = 0
Hạ: HA - PB > 0
O Họ: HB
Hạ: He = 12
12
%3!
O Họ: HA - HB = 0
Hạ: HA - HB < 0
O Họ: HA - HB = 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 Họ
OReject Ho and accept Ha
As such, the final conclusion is that
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.
There is 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 11 frogs of species A and 24 frogs of species B. Species A exhibited an average gestation period of 12 days with a standard deviation of 3.2 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 = 0.01. a) The hypotheses for this test are: O Họ: HA - HB = 0 Hạ: HA - PB > 0 O Họ: HB Hạ: He = 12 12 %3! O Họ: HA - HB = 0 Hạ: HA - HB < 0 O Họ: HA - HB = 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 Họ OReject Ho and accept Ha As such, the final conclusion is that 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. There is significant evidence to suggest a difference between the lengths of the two species' gestational periods
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