Evaluate ƒ(x ) = x 2 + 1 for ƒ(-1).<br><br> Can someone explain how you figure this?

In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsibl

schepotkina [342]

Answer:

$t=\frac{8.19-9.02}{\frac{0.8}{\sqrt{17}}}=-4.28$

The degrees of freedom are given by

$df=n-1=17-1=16$

The p value would be given by this probability:

$p_v =P(t_{(16)}$

Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3

Step-by-step explanation:

Information given

$\bar X=8.19 cm^3$ represent the sample mean

$s=0.8 cm^3$ represent the sample deviation

$n=17$ sample size

$\mu_o =9.02$ represent the value to verify

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

t would represent the statistic

$p_v$ represent the p value

System of hypothesis to check

We want to check if the true mean is less than the normal value of 9.02 cm^3, the system of hypothesis would be:

Null hypothesis: $\mu \geq 9.02$

Alternative hypothesis: $\mu < 9.02$

The statistic for this case is given by:

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

Replacing the info given we got:

$t=\frac{8.19-9.02}{\frac{0.8}{\sqrt{17}}}=-4.28$

The degrees of freedom are given by

$df=n-1=17-1=16$

The p value would be given by this probability:

$p_v =P(t_{(16)}$

Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3

6 0

3 years ago

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.

makkiz [27]

Let

x------> the number of multiple choice question

y------> the number of free response question

we know that

-----> equation A

-----> equation B

Substitute equation B in equation A

Find the value of x

therefore

the answer is

the number of multiple choice question are

the number of free response question are

3 0

2 years ago

A phone company has a monthly data plan where a customer pays flat monthly fee of

NeTakaya

A- 1gb=3$ 30$+(3*gb used)= total

B- 30$+(3*10)= 60$

3 0

3 years ago

What is the value of x? 60 and 95 are the degrees

bogdanovich [222]

Answer: The answer is 25

Step-by-step explanation:

First, You would add the two numbers together, which you get 155

Then, the degrees of a triangle is equal to 180. So you would subtract 155 from 189, and you should get 55.

Hope this helps :3

3 0

3 years ago

Read 2 more answers

Which our equivalent to -11/4

katrin [286]

-11 divided by 4 and -11/4

5 0

3 years ago

Evaluate ƒ(x ) = x 2 + 1 for ƒ(-1). Can someone explain how you figure this?