Each member of a random sample of 18 business economists was asked to predict the rate of inflation for the coming year. Assume that the predictions for the whole population of business economists follow a normal distribution with standard deviation 2.1%. a. The probability is 0.001 that the sample standard deviation is bigger than what number? b. The probability is 0.025 that the sample standard deviation is less than what number? c. Find any pair of numbers such that the probability that the sample standard deviation that lies between these numbers is 0.99. Click the icon to view a table of lower critical values for the chi-square distribution. Click the icon to view a table of upper critical values for the chi-square distribution.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Each member of a random sample of 18 business economists was asked to predict the rate of inflation for the coming year. Assume that the predictions for the whole
population of business economists follow a normal distribution with standard deviation 2.1%.
a. The probability is 0.001 that the sample standard deviation is bigger than what number?
b. The probability is 0.025 that the sample standard deviation is less than what number?
c. Find any pair of numbers such that the probability that the sample standard deviation that lies between these numbers is 0.99.
Click the icon to view a table of lower critical values for the chi-square distribution.
Click the icon to view a table of upper critical values for the chi-square distribution.
...
a. The probability that the sample standard deviation is bigger than
% is 0.001.
(Round to two decimal places as needed.)
b. The probability that the sample standard deviation is less than % is 0.025.
(Round to two decimal places as needed.)
c. The probability that the sample standard deviation is between 0% and
% is 0.99.
(Round to two decimal places as needed.)
Transcribed Image Text:Each member of a random sample of 18 business economists was asked to predict the rate of inflation for the coming year. Assume that the predictions for the whole population of business economists follow a normal distribution with standard deviation 2.1%. a. The probability is 0.001 that the sample standard deviation is bigger than what number? b. The probability is 0.025 that the sample standard deviation is less than what number? c. Find any pair of numbers such that the probability that the sample standard deviation that lies between these numbers is 0.99. Click the icon to view a table of lower critical values for the chi-square distribution. Click the icon to view a table of upper critical values for the chi-square distribution. ... a. The probability that the sample standard deviation is bigger than % is 0.001. (Round to two decimal places as needed.) b. The probability that the sample standard deviation is less than % is 0.025. (Round to two decimal places as needed.) c. The probability that the sample standard deviation is between 0% and % is 0.99. (Round to two decimal places as needed.)
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