HELP PLEASE ASAP I will mark brainliest if you explain

A survey recently reported that the mean national annual expenditure for inpatient and outpatient services of all persons over 6

zlopas [31]

Using the z-distribution, it is found that the p-value for this test is of 0.0375.

At the null hypothesis, it is tested if the expenses are the same as the national average, that is, of $5,423. Hence:

$H_0: \mu = 5423$

At the alternative hypothesis, it is tested if it is higher, hence:

$H_1: \mu > 5423$

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
$\sigma$ is the standard deviation of the sample.
n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 5516, \mu = 5423, \sigma = 979, n = 352$

The value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{5516 - 5423}{\frac{979}{\sqrt{352}}}$

$z = 1.78$

The p-value is the probability of finding a sample mean above $5,516, which is 1 subtracted by the p-value of z = 1.78.

Looking at the z-table, z = 1.78 has a p-value of 0.9625.

1 - 0.9625 = 0.0375

Hence, the p-value for this test is of 0.0375.

A similar problem is given at brainly.com/question/25549474

7 0

2 years ago

F(x)=x^3-x^2+4x+2. is this even, odd or neither? (solve algebraically. will mark brainliest :)

Gwar [14]

Answer:

Neither even nor odd

Step-by-step explanation:

If f(x) = f(- x) then f(x) is even

If f(- x) = - f(x) then f(x) is odd

Given f(x) = x³ - x² + 4x + 2, then

f(- x) = (- x)³ - (- x)² + 4(- x) + 2 = - x³ - x² - 4x + 2

Since f(x) ≠ f(- x) then f(x) is not even

- f(x) = - (x³ - x² + 4x + 2) = - x³ + x² - 4x - 2

Since f(- x) ≠ - f(x) then f(x) is not odd

Thus f(x) is neither even nor odd

5 0

2 years ago

In XYZ, XY=14, YZ=22, and XZ=28. What is the measure of angle Z to the nearest degree? *Law of Cosines

Liula [17]

Solution

Draw the diagram

So using cosine rule

$\begin{gathered} z^2=x^2+y^2-2xycosZ \\ \\ cosZ=\frac{x^2+y^2-z^2}{2xy} \\ \\ cosZ=\frac{22^2+28^2-14^2}{2(22)(28)} \\ \\ cosZ=\frac{67}{77} \\ \\ Z=30\degree\text{ \lparen to the nearest degree\rparen} \end{gathered}$

7 0

11 months ago

АА С

aksik [14]

Theorem: In a 45o-45o-90o triangle, the legs are congruent, and the length of the hypotenuse is 2 times the length of either leg. Examples Find x and y by using the theorem above. Write answers in simplest radical form. x x x Solution: y The legs of the triangle are congruent, so x=7.

6 0

2 years ago

The area of a storm shelter is 24 meters. The length is 5 1/3 meters. What is the width of the storm shelter?

Alexus [3.1K]

4.5 meters because
length*width=area or area/length=width
24÷5 $\frac{1}{3}$
=24÷16/3
= $\frac{24}{1}$ × $\frac{3}{16}$
= $\frac{72}{16}$ or 4.5 meters

7 0

3 years ago

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