State the range of the following function

Dmitrij [34]

Hope that helps......

6 0

3 years ago

Some research suggests that police officers are more likely to make an arrest in the presence of bystanders. If mentally disorde

zmey [24]

Answer:

$t=\frac{7.03-3.58}{\frac{9.42}{\sqrt{20}}}=1.638$

$p_v =P(t_{(19)}>1.638)=0.0589$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not significantly higher than 3.58 at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=7.03$ represent the sample mean

$s=9.42$ represent the sample standard deviation

$n=20$ sample size

$\mu_o =3.58$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 3.58 :

Null hypothesis: $\mu \leq 3.58$

Alternative hypothesis: $\mu > 3.58$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{7.03-3.58}{\frac{9.42}{\sqrt{20}}}=1.638$

P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

Since is a right tailed test the p value would be:

$p_v =P(t_{(19)}>1.638)=0.0589$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not significantly higher than 3.58 at 5% of signficance.

7 0

3 years ago

Which expression is equivalent to (256x16)1/4

nikitadnepr [17]

Answer:

$4x^{4}$

Step-by-step explanation:

Given in the question an expression,

$(256x^{16})^\frac{1}{4}$

As we know that,

$x^{\frac{1}{4} }= \sqrt[4]{x}$

so

$\sqrt[4]{256x^{16} }$

it could also be written as

$\sqrt{\sqrt{256x^{16} } }$

First to solve inner square root

$\sqrt{256x^{16} } = 16x^{16/2}$

$\sqrt{16x^{8} }$

Second outer square root

$\sqrt{16x^{8}}=4x^{8/2}$ = $4x^{4}$

7 0

3 years ago

Mile markers indicate the distance from a starting point along a freeway or highway. A slope describing the change in mile-marke

Finger [1]

Answer:

Step-by-step explana1tion:

11

6 0

4 years ago

Please help my slow behind ASAP

Marina CMI [18]

We need to look at the first clue, which is that they are 12th graders.

Add all the numbers in the 12th grade row and you get 68

Then match up the 12th grade row with the math column and the number presented you put over 68 so 28/68

Divided and you get D

6 0

3 years ago

State the range of the following function​

State the range of the following function