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3 years ago

Please help me ASAP !!

Mathematics

1 answer:

Nadya [2.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

<1+<2=90 complementary

<1=4 times <2

X+4x=90

5x=90

X=18

<1=18×4=72 degrees

<2=18 degrees

<1=<3 because they are vertical

Do <3= 72

<3+<4=180 because they are supplementary

72+<4=180

<4=108 degrees

<3=72 degrees

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yanalaym [24]

Using the t-distribution, it is found that:

a. The margin of error is of 4.7 homes.

b. The 98% confidence interval for the population mean is (19.3, 28.7).

The information given in the text is:

Sample mean of $\overline{x} = 24$ .
Sample standard deviation of $s = 9$ .
Sample size of $n = 23$ .

We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The confidence interval is:

$\overline{x} \pm M$

The margin of error is:

$M = t\frac{s}{\sqrt{n}}$

Item a:

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 23 - 1 = 22 df, is t = 2.508.

Then, the margin of error is:

$M = t\frac{s}{\sqrt{n}} = 2.508\frac{9}{\sqrt{23}} = 4.7$

Item b:

The interval is:

$\overline{x} - M = 24 - 4.7 = 19.3$

$\overline{x} + M = 24 + 4.7 = 28.7$

The 98% confidence interval for the population mean is (19.3, 28.7).

A similar problem is given at brainly.com/question/15180581

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vova2212 [387]

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Answer-

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