Here’s a set of data you can use for solving an independent t-test problem:

Problem Statement:

Two different teaching methods are being tested for their effectiveness in improving student test scores. A sample of 10 students is selected from each group, and their scores on a standardized test are recorded. The data for both groups is as follows:

Group 1 (Traditional Teaching Method):

Student	Score
1	82
2	90
3	85
4	88
5	79
6	84
7	87
8	91
9	83
10	89

Group 2 (New Teaching Method):

Student	Score
1	75
2	78
3	74
4	82
5	80
6	76
7	77
8	79
9	73
10	81

Hypothesis:

• Null Hypothesis (H₀): There is no significant difference in the average test scores between the two teaching methods.
• Alternative Hypothesis (H₁): There is a significant difference in the average test scores between the two teaching methods.

You are asked to:

1. Perform an independent t-test to determine if there is a statistically significant difference in the mean test scores between the two groups.
2. Use a significance level of 0.05.

---

Would you like to proceed with solving this t-test, or would you like additional guidance or clarification on how to approach it?

Here are some related questions:

1. What is the formula for calculating the independent t-test?
2. How do you calculate the degrees of freedom for an independent t-test?
3. What assumptions are made in an independent t-test?
4. How do you interpret the p-value from an independent t-test?
5. What is the difference between a one-tailed and two-tailed t-test?

Tip: Remember to check the assumptions of the t-test, particularly the assumption of equal variances between the two groups, before proceeding with the test.