Asked by Dustin McKee on May 06, 2024

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The sampling distributions that are used for interval data are the Student-t and the:

A) Chi-squared distribution.
B) Binomial distribution.
C) Discrete distribution.
D) F-distribution.

Student-t

A probability distribution used in statistical science, particularly in scenarios with small sample sizes or unknown variances.

F-distribution

A probability distribution that arises in the testing of whether two sample variances are equal, used in ANOVA and other tests involving multiple variances.

Chi-squared Distribution

A distribution used in statistics that measures how expectations compare to actual observed data, particularly in the context of categorical variables.

  • Understand the basic statistical distributions and their applicability to various data types.
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DE
Danielle ElgaratMay 08, 2024
Final Answer :
D
Explanation :
The F-distribution is used for interval data in cases where we are comparing the variances of two populations. The Student-t distribution is also used for interval data, but in cases where we are estimating the mean of a population based on a sample. The Chi-squared distribution is used for categorical data, and the Binomial distribution is used for binary data (e.g. yes/no questions). Therefore, the best choice for sampling distributions used for interval data is the F-distribution.