Help me find the P-value: Use the calculated t-value (2.74) and degrees of freedom (2) with a t-distribution table or statistical software to find the p-value.

INFO:

Here is a sample table of the data collected from 5 family mebers:

Participant Music Listening Habit Concentration Level (out of 10) 1 Yes 8 2 No 6 3 Yes 9 4 Yes 7 5 No 5 ... ... ...

Calculate Mean (Average):

Music Listeners: (8 + 9 + 7) / 3 = 8 (M1) Non-Music Listeners: (6 + 5) / 2 = 5.5 (M2)

Music Listeners (SD1): Non-Music Listeners (SD2): sqrt(((6-5.5)^2 + (5-5.5)^2)/1) = sqrt(0.5) 0.71

Step 2. Hypothesis Testing (Two-Sample t-test, Unequal Variances): I hypothesize that music listening affects concentration (M1 M2).

t (8 - 5.5) / sqrt((1^2 / 3) + (0.71^2 / 2)) t 2.5 / sqrt(0.83) t 2.74

Degrees of Freedom (df): df = min(n1-1, n2-1) = min(3, 2) = 2 (approx.)

Conclusion: If the p-value is less than 0.05 (significance level): Reject the null hypothesis. There's a significant difference in concentration levels, suggesting music listening might affect focus.

If the p-value is greater than 0.05: Fail to reject the null hypothesis. There's no strong evidence that music listening improves concentration