24.2 A study examined the plasticity in the adult brains of songbirds related to
ID: 3154040 • Letter: 2
Question
24.2 A study examined the plasticity in the adult brains of songbirds related to seasonal behavioral changes. The researchers captured adult male song sparrows at four different times in the year representing milestones in the birds’ reproductive cycle. A brain nucleus, the higher vocal center, that controls song in songbirds was measured right after capture. Here are the mean nucleus volumes in cubic millimeters (mm3):3
The publication states that F = 7.7 and P < 0.001.
(a)What are the null and alternative hypotheses for the ANOVA F test? Be sure to explain what means the test compares.
(b)Based on the sample means and the F test, what do you conclude?
Explanation / Answer
a)The mean value of plasticity in the adult minds of song birds volume in cubic millimeters across four seasonal time is tabulated below
The null hypothesis
H0: There is no significant diffrenece between sample means of plasticity in the adult brains of song birds across early spring , late spring , early fall and late fall.
H1: There is a significant diffrence between sample means of plasticity in the adult brains of song birds across early spring, late spring, early spring and late spring
b) By noticing sample means , we can conclude that mean of plasticity in the adult brains of song birds is higher than that of late spring, early fall and late fall. In spring mean of plasticity in the adult brains of song bird is morethan that of fall.
By seeing the value of P<0.001 , We can reject null hypothesis since P value associated with F test is less than 0.05 .Hence we accept alternative hypothesis there by conclude that there is a siginifucant differenece between sample means of plasticity in the adult minds of song birds
seasonal time mean nuclues( cubic millimetrs) early spring 1.73 late spring 1.6 early fall 1.11 late sring 1.06Related Questions
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