Question

The yields for the last six batches from a chemical reactor are: 61.84, 61.18, 64.71, 62.83,...

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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