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In: Statistics and Probability

Field crickets have a mean chip rate of 60 chirps per second with a standard deviation...

Field crickets have a mean chip rate of 60 chirps per second with a standard deviation
of 40 chirps per second. It has been hypothesized that the chirp rate of a field cricket is
related to its nutritional status. In order to test this, a group collected 22 field crickets and
fed them a high protein diet for 8 days. After the eight days it was found that the mean
chirp rate of the 22 test crickets was 85 chirps per second.

a) Find a 95% confident estimation for the mean chirp rate of field crickets on a high
protein diet.(Assuming a normal distribution)

b) Does this provide sufficient evidence to say that a high protein diet increases chirp
rate? Use α = 0.05.

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