A new sample of captive African Hray Parrots is collected from the university\'s

Question

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

Explanation / Answer

Solution:

Given that Sample size, n =64, Sample mean, X-bar = 20 and Standard deviation, = 5

Level of significance, a = 1 – 0.99 = 0.01

Using Z-tables, the critical value is

Z (0.01/2) = Z (0.005) = 2.576

Margin of error, E = Z*/n

Margin of error, E = 2.576*5/64

Margin of error, E = 1.61

99% confidence interval is given by:-

X-bar ± E

20 ± 1.61

20 – 1.61, 20 + 1.61

18.39, 21.61

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