Sprint LTE 10:53 AM New question Next Conservationists working in the Antarctic

Question

Sprint LTE 10:53 AM New question Next Conservationists working in the Antarctic keep a close eye on the physical characteristics of King Penguins as it is one indicator of changes occurring in the surrounding ecosystem. One of the parameters they track is the average weight of these Penguins. Last year, the average weight was 15.4 kilograms. This year, a sample of 35 King Penguins yielded a sample mean of 14.6 Kg and a sample standard deviation of 2.5 Kg. At the 5% level of significance, can you conclude that the average penguin weight has changed from last year? Add photo Y'all I'm A S DF G H JKL 123 space return

Explanation / Answer

a) State the appropriate null and alternative hypotheses:-

H0: = 15.4      H1: 15.4

b) Specify the desired level of significance and the sample size:-

0.05 and sample size is 35

c) Determine the appropriate technique:-

is unknown and hence it is t-test

d) Determine the critical values:-

With 34 DF and a = 0.025 on each side (i.e.0.05 on both the sides), we get critical value to be +-2.03

e) Collect the data and compute the test statistic:-

tSTAT=x-/S/n

=14.6-15.4/2.5/35

=-0.8/2.5/5.916

=-1.89

f) State the conclusion and interpret the result:-

Since -1.89>-2.03 and hence it does not fall within the rejection region and hence we cannot reject H0: insufficient evidence to prove that true mean pH value is different than 15.4

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