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3 years ago

Please help me with this!

Mathematics

1 answer:

pishuonlain [190]3 years ago

7 0

Answer:

Rope B is 20 times long

Rope C is 9 times long

Rope D is 3 times long

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Solve these absolute value equations step by step

QveST [7]

Answer:

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Read 2 more answers

Ecologists wanted to estimate the mean biomass (amount of vegetation) of a certain forested region. The ecologists divided the r

Gnoma [55]

Answer:

$4.3 \pm 2.306\frac{1.5}{\sqrt{9}}$ , option c

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.306

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.306\frac{1.5}{\sqrt{9}}$

In which s is the standard deviation of the sample and n is the size of the sample.

Confidence interval:

The confidence interval is the sample mean plus/minus the margin of error. So

$4.3 \pm 2.306\frac{1.5}{\sqrt{9}}$

The correct answer is given by option c.

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3 years ago