Compare the Scores: a Score of 220 on a Test

question 83

Multiple Choice

Compare the scores: a score of 220 on a test with a mean of 200 and a standard deviation of 21 and a score of 90 on a test with a mean of 80 and a standard deviation of 8.

• A)A score of 90 with a mean of 80 and a standard deviation of 8 is better.
• B)A score of 220 with a mean of 200 and a standard deviation of 21 is better.
• C)The two scores are statistically the same.
• D)You cannot determine which score is better from the given information.

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Definitions:

Population Variance

A measure of the dispersion or spread of a set of data points in a population, calculated by taking the average of the squared differences from the mean.

Critical Value

A threshold or boundary in hypothesis testing that defines the cutoff between the rejection or non-rejection of the null hypothesis.

Chi-square Distribution

A probability distribution that is used to analyze the variance in categorical data between observed and expected outcomes.

Population Variance

A measure of how data points in an entire population are dispersed or spread out from the mean, indicating the level of diversity within the population.