The yields for the last six batches from a chemical reactor
are:
61.84, 61.18, 64.71, 62.83, 62.66, 62.47.
Assuming that these yields form a random sample from a
normal population, but sample size is too SMALL to assume
s ≈ σ, construct a 99% confidence interval for the true
mean yield.
t-values for tail area α | |||||
---|---|---|---|---|---|
ν | 0.100 | 0.050 | 0.025 | 0.010 | 0.005 |
1 | 3.078 | 6.314 | 12.706 | 31.821 | 63.657 |
2 | 1.886 | 2.920 | 4.303 | 6.965 | 9.925 |
3 | 1.638 | 2.353 | 3.182 | 4.541 | 5.841 |
4 | 1.533 | 2.132 | 2.776 | 3.747 | 4.604 |
5 | 1.476 | 2.015 | 2.571 | 3.365 | 4.032 |
6 | 1.440 | 1.943 | 2.447 | 3.143 | 3.707 |
7 | 1.415 | 1.895 | 2.365 | 2.998 | 3.499 |
8 | 1.397 | 1.860 | 2.306 | 2.896 | 3.355 |
9 | 1.383 | 1.833 | 2.262 | 2.821 | 3.250 |
10 | 1.372 | 1.812 | 2.228 | 2.764 | 3.169 |
Your answers can be rounded to three decimal digit accuracy when
entered.
Lower limit is = | Upper limit is = |
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