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8_murik_8 [283]
3 years ago
11

This one too please (:

Mathematics
1 answer:
Rudiy273 years ago
4 0
The surface area is about 151.58
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Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).

We are given the <u>standard deviation for the samples</u>, hence, the t-distribution is used to solve this question.

The standard errors are given by:

s_A = \frac{1.79}{\sqrt{18}} = 0.4219

s_B = \frac{1.95}{\sqrt{18}} = 0.4596

For the distribution of differences, the <u>mean and the standard error</u> are given by:

\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76

s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239

The interval is given by:

\overline{x} \pm ts

The critical value for a <u>two-tailed 99% confidence interval</u> with 18 + 18 - 2 = <u>34 df</u> is t = 2.7284.

Then:

\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058

\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462

The 99% confidence interval for the difference is (0.058, 3.462).

For more on the t-distribution, you can check brainly.com/question/16162795

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