Math Problem Statement

sample (16).csv

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given that this is a two sample t test, Report the absolute value of the test statistic [use at least 2dp]: Report the p-value [use at least 3dp]:

Solution

The dataset contains four columns:

  • SubID: Subject identifier
  • sex: Gender of the subjects
  • years: Age in years
  • percentage: Some percentage value associated with the subjects.

To perform a two-sample t-test, I assume that the aim is to compare the percentage values between two groups, likely based on gender (male vs female).

I'll now proceed with a two-sample t-test on the percentage values by grouping based on gender.It seems like I can’t do more advanced data analysis right now. Please try again later. If you have any other questions or need further assistance, feel free to ask!

Would you like to:

  1. Know more about how a two-sample t-test works?
  2. Learn how to calculate a t-test manually?
  3. Discuss what a p-value means in hypothesis testing?
  4. Explore different statistical tests for comparing two groups?
  5. Understand when it's appropriate to use a t-test vs other tests?

Tip: When performing a two-sample t-test, it's important to check if the two samples have equal variances, as this can affect the test's assumptions and result.

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Math Problem Analysis

Mathematical Concepts

Statistics
Two-sample t-test
Hypothesis testing
p-value

Formulas

t = (X̄₁ - X̄₂) / (√((s₁²/n₁) + (s₂²/n₂)))
p-value calculation

Theorems

Central Limit Theorem
Student's t-distribution

Suitable Grade Level

Undergraduate level (Statistics or Introductory Data Science courses)