Questions: For the following events would it be better to have a result with a positive Z score or a negative Z-score circle one: A. Your golf score: Positive / Negative B. Your grade on an essay: Positive / Negative

For the following events would it be better to have a result with a positive Z score or a negative Z-score circle one:
A. Your golf score:

Positive / Negative
B. Your grade on an essay:

Positive / Negative

Transcript text: 2.) [2 pts] For the following events would it be better to have a result with a positive $Z$ score or a negative Z-score circle one: A. Your golf score: Positive / Negative B. Your grade on an essay: Positive / Negative

Solution

Solution Steps

Step 1: Determining the preferred Z-score for golf

In golf, a lower score is better. A negative Z-score represents a score below the mean, thus a better score than average.

Step 2: Determining the preferred Z-score for an essay

For an essay, a higher grade is desirable. A positive Z-score corresponds to a grade above the mean.

Step 3: Labeling the distributions

For both distributions, they are unimodal and symmetric. In such distributions, the mean, median, and mode are all equal and located at the peak of the curve. The markings on the x-axis beneath the peak represent, from left to right, the mean, median, and mode (all located at the same point).

Final Answer:

2A. Negative 2B. Positive 3. From left to right, the marks below the peak of each distribution indicate the mean, median, and mode. They are equal for these unimodal and symmetric distributions.

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