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2 years ago

Please let me know if this is correct and if not what is the correct answer. Thanks

Mathematics

2 answers:

vlada-n [284]2 years ago

6 0

There’s nothing on the picture

mart [117]2 years ago

3 0

Answer:

is it about your future profession or your dream

Step-by-step explanation:

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Construct a 96% confidence interval if a sampling distribution has a mean of 20, a standard deviation of 5, and a size of 100.

MAXImum [283]

Using the t-distribution, the 96% confidence interval is given as follows:

(18.96, 21.04).

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

The confidence interval is:

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

In which:

$\overline{x}$ is the sample mean.

t is the critical value.

n is the sample size.

s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 96% confidence interval, with 100 - 1 = 99 df, is t = 2.0812.

The parameters are given as follows:

$\overline{x} = 20, s = 5, n = 100$

Hence the bounds of the interval are:

$\overline{x} - t\frac{s}{\sqrt{n}} = 20 - 2.0812\frac{5}{\sqrt{100}} = 18.96$

$\overline{x} + t\frac{s}{\sqrt{n}} = 20 + 2.0812\frac{5}{\sqrt{100}} = 21.04$

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

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2 years ago

What is the average rate of change of the function over the interval x = 0 to x = 8?

notsponge [240]

To find the average rate of change, use the following formula:

$\frac{f(b) - f(a)}{b-a}$

a and b represent the values of the interval:

$a = 0, b = 8$

Simplify the original equation by combining like terms:

$2x - 13x = -11x$
$f(x) = -11x + 5$

Plug the interval values into the f(x) equation:

$f(0) = -11(0) + 5 = 0 + 5 = 5$
$f(8) = -11(8) + 5 = -88 + 5 = -83$

Plug in these values into the average rate of change formula:

$\frac{-83 - 5}{8 - 0} = \frac{-88}{8} = -11$

The average rate of change over this interval is -11.

4 0

3 years ago

Read 2 more answers

265,888 round to the nearest ten thousand

alexandr1967 [171]

265,888 rounded to the nearest ten thousand is 70,000.

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3 years ago

Trigonometry Trigonometric Functions Given: Cos θ = (3/5), Find: Csc θ

torisob [31]

The value of $\csc \theta$ is $\frac{5}{4}$