Two different researchers measured the weight of two separate samples of ruby-th

Question

Two different researchers measured the weight of two separate samples of ruby-throated hummingbirds from the same population. Each calculated a 95% confidence interval for the mean weight of these birds.Researcher 1 found the 95% confidence interval to be 3.12g < <3.48g,while Researcher 2 found the 95 % confidence interval to be 3.05g < < 3.62g.

a)How could the two researchers get different answers?
b)Which researcher most likely had the larger sample?
c)Can you be certain about your answer in part (b)?Why or Why not?

Explanation / Answer

a)the answers were different because of the different sample size.
the formula of confidence interval = ± (z * /n)

where =mean,

= standard deviation

n = sample size

b)from the above formula we can conclude that more the sample size, less will be the confidence interval

researcher 1 has a smaller confidence interval as compared to researcher 2.

hence researcher 1 had a larger sample

c)we can be totally certail on the answer of part (b)

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