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Minchanka [31]
3 years ago
12

A sequence of numbers is formed by the iterative process 3/Un+1 U1 = 4 U2= U3=

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer:

3/5, 1/2

Step-by-step explanation:

u(1) = 4 (given)

               3            3

u(2) = ----------- = -------      where u(1) = 4 and u(1) + 1 = 5

           4 + 1          5

             3

u(3) = -------- = 3/6 = 1/2

           5+1

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Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm t\frac{s}{\sqrt{n}}

In which:

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From the sample and the significance level of 0.05, we have that the parameters are given by:

\overline{x} = 205.5, s = 14.2, n = 10, t = 2.2622

Hence:

\overline{x} - t\frac{s}{\sqrt{n}} = 205.5 - 2.2622\frac{14.2}{\sqrt{10}} = 195.3

\overline{x} + t\frac{s}{\sqrt{n}} = 205.5 + 2.2622\frac{14.2}{\sqrt{10}} = 215.7

The 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

More can be learned about the t-distribution at brainly.com/question/16162795

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