Answer: [2.00891488, 2.411085121
Step-by-step explanation:
Step 1: Subtract 1 from your sample size. 5 – 1 = 4. This gives you degrees of freedom, which you’ll need in step 3.
Step 2: Subtract the confidence level from 1, then divide by two.
(1 – .98) / 2 = 0.02
Step 3: Look up your answers to step 1 and 2 in the t-distribution table. For 9 degrees of freedom (df) and α = 0.02, my result is 3.747
Step 4: Divide your sample standard deviation by the square root of your sample size.
0.12 / √(5) = 0.0536656315
Step 5: Multiply step 3 by step 4.
3.747 × 0.0536656315 = 0.201085121
Step 6: For the lower end of the range, subtract step 5 from the sample mean.
2.21 – 0.201085121 = 2.00891488
Step 7: For the upper end of the range, add step 5 to the sample mean.
2.21 + 0.201085121 = 2.411085121
That's the answer. Cheers.
