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The Following Data Represent the Scores of a Sample of 50

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The following data represent the scores of a sample of 50 randomly chosen students on a
standardized test. 3948556366686869707171717374767676777879797979808082838383858586868888888889898990919292939596979799\begin{array} { l l l l l l l l l l } 39 & 48 & 55 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \\71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \\79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \\85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \\90 & 91 & 92 & 92 & 93 & 95 & 96 & 97 & 97 & 99\end{array} a. Write a 95% confidence interval for the mean score of all students who took the test.
b. Identify the target parameter and the point estimator.


Definitions:

Compounded Semi-annually

Interest computation technique where the sum earns interest twice annually, compounding the overall growth over time.

Monthly Payment

A fixed payment amount made by a borrower to a lender at agreed upon intervals, commonly used in loan agreements.

Interest

The cost of borrowing money or the income received from lending money, usually expressed as a percentage of the principal.

Compounded Monthly

The process where interest is calculated and added to the principal sum on a monthly basis.

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