The Following Data Represent the Scores of a Sample of 50

question 102

Essay

The following data represent the scores of a sample of 50 randomly chosen students on a standardized test.

$$\begin{array} { l l l l l l l l l l } 39 & 48 & 55 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \\71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \\79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \\85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \\90 & 91 & 92 & 92 & 93 & 95 & 96 & 97 & 97 & 99\end{array}$$ 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.

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Definitions:

Null Hypothesis

A default hypothesis that there is no significant difference or effect, typically tested against an alternative hypothesis in statistical analysis.

Chi-square Test

A method of statistical analysis used to establish if a significant correlation exists between two variables classified categorically.

Pizza Topping

Pizza topping refers to any ingredient added on top of the pizza dough and sauce before baking, such as cheese, pepperoni, or vegetables.

Pizza Size

A measurement that denotes the diameter or area of a pizza, often categorized into small, medium, and large.