Multiple Choice
In probability theory, what is the main difference between an and an ?
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4. Probability
Basic Concepts of Probability
Multiple Choice
Which of the following is not a characteristic of the test?
A
It is appropriate for small sample sizes.
B
It is only used for categorical data.
C
It assumes the data are normally distributed.
D
It is used when the population standard deviation is unknown.
Verified step by step guidance1
Step 1: Understand the purpose of the t-test. The t-test is a statistical test used to compare the means of two groups, especially when the sample size is small and the population standard deviation is unknown.
Step 2: Review the assumptions of the t-test. These include: (a) the data should be approximately normally distributed, and (b) the samples are independent.
Step 3: Recognize that the t-test is used for continuous numerical data, not categorical data. Categorical data typically require different tests, such as the chi-square test.
Step 4: Analyze each statement given: (a) 'It is appropriate for small sample sizes' is true; (b) 'It assumes the data are normally distributed' is true; (c) 'It is used when the population standard deviation is unknown' is true; (d) 'It is only used for categorical data' is false because the t-test is not designed for categorical data.
Step 5: Conclude that the statement 'It is only used for categorical data' is not a characteristic of the t-test, making it the correct answer to the question.
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