A new sample of captive Moroccan Gray Parrots is collected from the university’s

Question

A new sample of captive Moroccan Gray Parrots is collected from the university’s aviary. The sample is composed of 64 birds, with a mean memory score of 20 and a standard deviation of 5.0. Using this new data, what is the point estimate of for figure memory among all Moroccan Gray Parrots? What is the 99% confidence interval for the true mean for figure memory in the parrots? What is the 99% margin of error? Show the formula for the single sample test (make sure you specify the test statistic you would use.)

Explanation / Answer

Mean is 20 and s is 5, the standard error is SE=s/sqrt(N)=5/sqrt(64)=0.625

for 99% confidence , the z value is 2.576

thus lower limit is mean-z*s=20-2.576*5=7.12

the upper limit is mean+z*s=20+2.576*5=32.88

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