The CEO of a large financial institution claims that, on average, their clients invest more than R45 000 per year in a particular portfolio. Test this claim at the 5% significance level if it was found that a sample of 21 clients invested an average of R44 500 in the portfolio over the last year, with a standard deviation of R5 500.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The CEO of a large financial institution claims that, on average, their clients invest more than R45 000 per year in a particular portfolio. Test this claim at the 5% significance level if it was found that a sample of 21 clients invested an average of R44 500 in the portfolio over the last year, with a standard deviation of R5 500.

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