Researchers studying two populations of wolves conducted a two-sample t-test for the difference in means to investigate whether the mean weight of the wolves in one population was different from the mean weight of the wolves in the other population. All conditions for inference were met, and the test produced a test statistic of t=2.771 and a p-value of 0.01.

Which of the following is a correct interpretation of the p-value?

a. Assuming that the mean weights of wolves in the populations are equal, the probability of obtaining a test statistic that is greater than 2.771 or less than −2.771−2.771 is 0.01.
b. Assuming that the mean weights of wolves in the populations are equal, the probability of obtaining a test statistic that is greater than 2.771 is 0.01.
c. Assuming that the mean weights of wolves in the populations are different, the probability of obtaining a test statistic that is greater than 2.771 or less than −2.771−2.771 is 0.01.
d. Assuming that the mean weights of wolves in the populations are different, the probability of obtaining a test statistic that is greater than 2.771 is 0.01.
e. Assuming that the mean weights of wolves in the populations are different, the probability of obtaining a test statistic that is less than 2.771 is 0.01.a

Hi there!  

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I believe your answer is:

Option B) [tex]y=x-5[/tex]

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Here’s why:  

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[tex]\boxed{\text{Slope-Intercept Form}}\\\\y=mx + b\\\\\boxed{\text{Key:}}\\\\m - \text{The Slope}\\\\b- \text{The Y-Intercept}[/tex]

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[tex]\boxed{\text{Which equation shows a y-intercept of -5?}}\\\\---------\\\text{A}) -5y = x\\\\\text{This equation in slope-intercept form is }y=\frac{1}{5}x.\\\\\text{The 'b' part is not shown. This means that the line passes through the}\\\text{origin.}\\\\---------\\\\\text{B})\text{ }y = x-5\\\\\text{This option shows a slope of one and a y-intercept of -5.} \\\\\text{Therefore, \boxed{\text{option B is the correct answer.}}}\\\\----------\\\text{Option C has a y-intercept of 5, and Option D has a}\\[/tex]

[tex]\text{y-intercept of 1.}[/tex]

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

3.33

Step-by-step explanation:

I just took the test! :D

The estimated margin of error, using standard deviation is 3.33.

The margin of error shows an estimated percentage, or that surrounds a guess related to the real value of the population. For example, a confidence interval that has a margin of error tells you that your findings will be within the real population value of the time.

Typically, the higher the standard deviation, the more dispersed the data is. Understanding standard deviation is an essential part of calculating the margin of error for your data. If you do not have the value for your sample data proportion.

Standard deviation describes variability within a single sample, while standard error describes variability across multiple samples of a population. Standard deviation is a descriptive statistic that can be calculated from sample data, while standard error is an inferential statistic that can only be estimated.

Learn more about errors here:-https://brainly.com/question/11472659

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Answer:

2 is the probability

Step-by-step explanation:

Answer:

It is B on edge

Step-by-step explanation:

Answer:

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $8,500

Future value (FV)= $17,323

Interest rate (i)= 4.5%

To calculate the time required for the investment to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(17,323/8,500) / ln(1.045)

n= 16.17 years

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

Answer:

97 students must be randomly selected for IQ tests.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The Standard Deviation is 15.

This means that [tex]\sigma = 15[/tex]

How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean?

This is n for which M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.96\frac{15}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.96*15[/tex]

Simplifying both sides by 3

[tex]\sqrt{n} = 1.96*5[/tex]

[tex](\sqrt{n})^2 = (1.96*5)^2[/tex]

[tex]n = 96.04[/tex]

Rounding up(as with a sample size of 96 the margin of error will be slightly above 3):

97 students must be randomly selected for IQ tests.

Answer:

C

Step-by-step explanation:

We know that ,

[tex]\pi rad = 180^o[/tex]

Using Unitary Method ,

[tex]\implies 1 \ rad = \dfrac{180^o}{\pi } [/tex]

Therefore ,

[tex]\implies \dfrac{10\pi}{6} rad = \dfrac{10\pi}{6} * \dfrac{180^o}{\pi } [/tex]

[tex]= \boxed{\red{ 300^o }}[/tex]

Required answer !

Answer:

The Answer as you see

Step-by-step explanation:

Have a good luck with ur Exam

Answer:

Hope it's correct

Step-by-step explanation:

I believe it's week 2.

9514 1404 393

Answer:

  D.  28 +10i

Step-by-step explanation:

As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.

  (3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses

  = (4 +24) +(3 -1 +8)i . . . . . . . group like terms

  = 28 +10i

Answer:

A = $1311 and 96cents

Step-by-step explanation:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

P = $1200

r = 1.8% = 0.018

n = 1 (compounded yearly)

t = 5

[tex]A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96[/tex]

Step-by-step explanation:

30×5/18

25/3

=8.33 m/s

!!!!!!!!!

Answer:

I think the answer is 8.33 (rounded to 2 decimal points)

Answer:70x

Step-by-step explanation: FIND BY OWN

none of the above

Step-by-step explanation:

SSS - only two legs are defined so this doesn't apply

SAS - the two legs of one triangle are not proportional to the legs of the other triangle.

AA - only one angle is defined to be congruent to the other (the rule requires two)

Answer:

Arc AB = 8π

Step-by-step explanation:

Length of arc = central angle/360 × 2πr

Where,

Central angle = measure of arc AB = 144° (central angle theorem)

r = radius = 10

Length of arc AB = 144/360 × 2 × π × 10

= 8π

Answer: 96

Step-by-step explanation:

Given

Verne has 5 math books to line up on a shelf

Jenny has 4 english books to line up on a shelf

No of ways Verne can arrange the books are [tex]5![/tex]

No of ways Jenny can arrange the books are [tex]4![/tex]

Difference between them

[tex]=5!-4!\\=120-24\\=96[/tex]

Thus, Verne can line up 96 more orders than Jenny

Answer:

The number of defective bulbs in the shipment should be around 15, give or take 4.

Step-by-step explanation:

For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Suppose the probability at a light bulb factory of a bulb being defective is 0.11

This means that [tex]p = 0.11[/tex]

Shipment of 133 bulbs:

This means that [tex]n = 133[/tex]

Mean and standard deviation:

[tex]E(X) = np = 133*0.11 = 14.63[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]

Rounding to the nearest integers:

The number of defective bulbs in the shipment should be around 15, give or take 4.

Answer:

the graph is going to be facing up not down

Answer:

192 students

Step-by-step explanation:

60 randomly students surveyed

16 chose aquarium as their favorite field trip.

720 students in total.

[tex]\frac{16}{60}[/tex] = [tex]\frac{?}{720}[/tex] =

720 × 16 ÷ 60 =

192 students

Answer:

Step-by-step explanation:

Find the diagram attached

If W and X are the endpoints of a diameter on the circle, this means that arc WX is 180degres

Since the angle at the vertex is half the angle at the intercepted arcs.

<V = 1/2(arcWX)

4x+18 = 1/2*180

4x+18 = 90

4x = 90-18

4x = 72

x = 72/4

x = 18

Hence the value of x is 18

Answer:

x² +x  -30

Step-by-step explanation:

A = length * width = (x+6)(x-5) = x² -5x+6x-30= x²+x -30

Answer:

Step-by-step explanation:

Given : Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers.

The parameter are the number which are used to represents the quantity of a particular characteristic in entire population.

We know that to estimate the percentage of success we use the proportion of success parameter "p".

Hence, the parameter here is "p" , the proportion of parents that use cloth diapers.

Answer:

specific "yes" or "no" responses to the survey

Step-by-step explanation:

Got it right

Answer:

Q1 z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the that means have no difference

Q2  CI 95 %  =  (  0,056 ;  0,164 )

Step-by-step explanation:

Sample information for people under 18

n₁  =  500

x₁ =  180

p₁  =  180/ 500    p₁  =  0,36    then  q₁  =  1 -  p₁     q₁ =  0,64

Sample information for people over 18

n₂  =  600

x₂  =  150

p₂  =  150 / 600   p₂ =  0,25   then   q₂  =  1 - p₂   q₂ =  1 - 0,25   q₂ = 0,75

Hypothesis Test

Null hypothesis                        H₀              p₁  =  p₂

Alternative Hypothesis           Hₐ              p₁  ≠  p₂

The alternative hypothesis indicates that the test is a two-tail test.

We will use the approximation to normal distribution of the binomial distribution according to the sizes of both samples.

Testin at CI =  95 %    significance level is  α = 5 %   α  =  0,05  and

α/ 2  =  0,025   z (c) for that α  is from z-table:

z(c) = 1,96

To calculate   z(s)

z(s)  =  ( p₁  -   p₂ ) / EED

EED = √(p₁*q₁)n₁  +  (p₂*q₂)/n₂

EED = √( 0,36*0.64)/500  +  (0,25*0,75)/600

EED = √0,00046  +  0,0003125

EED = 0,028

( p₁  -  p₂  )  =  0,36  -  0,25  = 0,11

Then

z(s)  =  0,11 / 0,028

z(s) = 3,93

Comparing  z(s) and  z (c)    z(s) > z(c)

z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the idea of equals means

Q2  CI  95 %   =  (  p₁  -  p₂  ) ±  z(c) * EED

CI 95%  =  ( 0,11   ±  1,96 * 0,028 )

CI 95%  = (  0,11  ±  0,054 )

CI 95 %  =  (  0,056 ;  0,164 )

9514 1404 393

Answer:

  A.  0.949

Step-by-step explanation:

Use your favorite calculator or spreadsheet to compute the correlation coefficient.

  r ≈ 0.949

_____

Additional comment

The values of y generally increase as the values of x increase--with only one exception. This tells you the correlation coefficient is positive and fairly high. Of the two positive choices 0.901 and 0.949, the higher one is the better guess.

Answer:

42

Step-by-step explanation:

I am preety sure !

Answer:

let p be the population proportion of parents who had children in grades k-12 were satisfied with the quality of education the students receive.

Step-by-step explanation:

Answer:

fourth quadrant

Step-by-step explanation: