The body mass index (BMI) of a person is the person’s weight divided by the square of his or her height. It is an indirect measure of the person’s body fat and an indicator of obesity. Results from surveys conducted by the Centers for Disease Control and Prevention (CDC) showed that the estimated mean BMI for US adults increased from 25.0 in the 1960–1962 period to 28.1 in the 1999–2002 period.

Suppose you are a health researcher. You conduct a hypothesis test to determine whether the mean BMI of US adults in the current year is lower than the mean BMI of US adults in 2000. Assume that the mean BMI of US adults in 2000 was 28.1 (the population mean). You obtain a sample of BMI measurements of 1,034 US adults, which yields a sample mean of M = 28.9. Let μ denote the mean BMI of US adults in the current year.

Required:
Formulate your null and alternative hypotheses by selecting the appropriate values in the blue dropdown menus that follow.

Answers

Answer 1

Answer:

The null hypothesis is  [tex]H_o : \mu = 28.1[/tex]

 The alternative hypothesis is  [tex]H_a : \mu < 28.1[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean at 1960 - 1962 is  [tex]\mu_1 = 25.0[/tex]

    The population mean at 1999- 2002 is  [tex]\mu_2 = 28.1[/tex]

     The sample size is  n=  1034

     The sample mean is  [tex]M = 28.9[/tex]

 The null hypothesis is  [tex]H_o : \mu = 28.1[/tex]

 The alternative hypothesis is  [tex]H_a : \mu < 28.1[/tex]


Related Questions

select all of the lines that have a slope of 2/5

Answers

Need a little more information

the slope 2/5 is written in the formula rise/run. So u can use this method to determine which line has a slope of 2/5.

Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Excel or Minitab users: The data set is available in file namedPaint.
Paint 1 Paint 2 Paint 3 Paint 4
128 144 133 150
137 133 143 142
135 142 137 135
124 146 136 140
141 130 132 153
At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below:
1. Sum of Squares,Treatment
2. Sum of Squares,Error
3. Mean Squares,Treatment
4. Mean Squares,Error

Answers

Answer:

Explained below.

Step-by-step explanation:

The data provided is for the dying time of four different types of paint.

One-way ANOVA can be used to determine whether all the four paints have the same drying time.

Use Excel to perform the one-way ANOVA.

Go to Data → Data Analysis → Anova: Single Factor

A dialog box will open.

Select the data.

Select "Grouping" as Columns.

Press OK.

The output is attached below.

The required values are as follows:

(1)

Sum of Squares of Treatment (Between Subjects):

SST = 330

(2)

Sum of Squares of Error (Within Subjects):

SSE = 692

(3)

Mean Squares Treatment (Between Subjects):

MST = 110

(4)

Mean Squares Error (Within Subjects):

MSE = 43.25

HELP!!!! (zoom in to see it better)

Answers

Answer:

C and D

Step-by-step explanation:

The lines are parallel to eachother dont worry about what the lines is in the middle

for the second question, it is the same thing, the lines are both going straight

which means that they are parallel

Answer:

C and D

Step-by-step explanation:

Factors are the numbers used to multiply. True False​

Answers

Answer:

True

Step-by-step explanation

The quadratic function modeling the height of a ball over time is symmetric about the line , where t is time in seconds. Which statement is true about this situation?


A.

The height of the ball is the same after 1 second and 3 seconds.

B.

The height of the ball is the same after 0 seconds and 4 seconds.

C.

The height of the ball is the same after 0.5 second and 5.5 seconds.

D.

The height of the ball is the same after 1.5 seconds and 3.5 seconds.

Answers

Answer:

A. The height of the ball is the same after 1 second and 3 seconds.

Step-by-step explanation:

The quadratic equation function modeling is used to analyze the relationship between variables in the equation. If the ball is at height and t is time then the ball is on symmetric line which will move for initial 1 second then stabilizes at 3 seconds.

Please help 60 Points!!!!!!!! my school is glitched :C

Answers

Answer:

its the two that are glitched because its not any of the other ones

Step-by-step explanation:

Answer:

reload

Step-by-step explanation:

Solve for X.
3(x + 2) = 7x + 6 - 4x

Answers

x=14

Hope this helps! (:

Answer:

(-∞,∞)

any value makes the equation true

(its infinite)

Step-by-step explanation:

3(x + 2) = 7x + 6 - 4x

distribute

3x + 6 = 7x + 6 - 4x

combine like terms

3x + 6 = 3x + 6

move the variable to the other side

0 + 6 = 6

move the 6

0 = 0

PLEASE HEELP
Match the inverse, converse, contrapositive, and biconditional with their sentences.

Conditional Statement: If two angles are congruent, then they have the same measure.

Question 1 options:

converse


biconditional


inverse


contrapositive

1.
If two angles have the same measure, then they are congruent.

2.
If two angles are not congruent, then they do not have the same measure.

3.
If two angles do not have the same measure, then they are not congruent.

4.
Two angles are congruent if and only if they have the same measure.

Answers

Answer:

First, let's define each case:

A conditional statement is:

If P then Q.

P = hypothesis

Q = conclussion.

Converse: If Q then P.

Biconditional: P if and only if Q.

Inverse: If not P, then not Q.

Contrapositive: If not Q, then not P.

Our statement is:

"If two angles are congruent, then they have the same measure."

P = two angles are congruent.

Q = they have the same measure.

Now let's look at the options:

1) If two angles have the same measure, then they are congruent.

or: if Q then P, this is converse.

2) If two angles are not congruent, then they do not have the same measure.

or: If not P, then not Q, this is inverse.

3) If two angles do not have the same measure, then they are not congruent.

or: If not Q, then not P, this is the contrapositive.

4) Two angles are congruent if and only if they have the same measure.

or: P if and only if Q, this is biconditional.

does anyone know the answer to this question?

consider the sequence below. What are the next three terms in the sequence?
3, 7, 11, 15,....

Answers

It goes plus 4 every time, so the next three terms are 19, 23, and 27

15. To receive a B in his English class, Nicolas must have an average score of at least 84 on five
tests. He scored 90,91, 79, and 81 on his first four tests. What is the score range he can receive
on his last test and still receive a B in the class?

Answers

Answer:

(90+91+79+81+x)/5=84and 341+x=84*5and341+x=420and x=420-341 finally x=79

So Can anyone help me with this

Answers

It’s 6 because it move up 6 units and 1 unit to the right. Slope is rise over run so it’ll be 6/1 which equal 6
6

count the number of units from the bottom point to the top (6) and the number of units to the right to get to the point (1)

slope is rise/run so it would be 6/1 which simplifies to 6

Suppose you have some money to investfor ​simplicity, ​$1and you are planning to put a fraction w into a stock market mutual fund and the​ rest, ​, into a bond mutual fund. Suppose that​ $1 invested in a stock fund yields after 1 year and that​ $1 invested in a bond fund yields ​, suppose that is random with mean ​0.07(​%) and standard deviation ​, and suppose that is random with mean ​(​%) and standard deviation . The correlation between and is . If you place a fraction w of your money in the stock fund and the​ rest, ​, in the bond​ fund, then the return on your investment is .

Answers

Answer and Step-by-step explanation:

Solution:

Given:

Mean = 0.08

Standard deviation = 0.07

W = 0.75

The return on investment is:

R = W * RS + (1 – W)*RB

Compute the mean and standard deviation:

Mean:

E(R) = E[ W X RS + (1 – W) X RB]

The mean of R is given:

 µ = W * RS + (1 – W)*RB

      = 0.75 X 0.08 + (1 – 0.75) 0.05

      = 0.06 + 0.0125

     = 0.0725

Variance:

Var (R) = var [ w x RS + (1 – W)RB]

Var (R) = W 2 Var (RS )+ (1 –W)2 Var  (RB) + 2w (1-w)cov(RS , RB)

The standard deviation of R is given by:

∂2 = W2 X (0.07)2 + (1 – W) 2 X( 0.04)2 + 2 W (1 – W) X [0.07 X 0.04 X 0.25]

  Where [0.07 X 0.04 X 0.25] is correlation between RS and RB.

help me idk what it is​

Answers

the answer is the bottom one on the first row

it should be the top right answer.
4, 7, 8, 10, 11, 13, 15, 15, 22, 28 is the data set in order.
By finding the median, it would be 12, since 11+13=24/2=12
The first quartile would be 8, because between 4-11, 8 is in the middle
Then the third quartile would be 15, repeating the same process except with 13-28

So basically the answer is the top right choice. With a median of 12, first quartile 8, third quartile 15

Which of the following options best describes a line graph?

a) graph comparing quantities represented by bars

b) graph showing trends in categorical data

c) graph that displays the rate of change of two variables

d) graph comparing the rate of change of two or more quantities

Answers

Answer:

i hope im not to late but i think its c

A line chart is a graph that shows the rate at which two variables evolve.

Option c) is correct.

Define Graph.

A graph is a representation of the relationship among different sets of numbers or measures.

A graph is just a data structure made up of a finite number of nodes (or vertices) and the edges that link them.

A line chart is a graph that shows the rate at which two variables evolve.

So, option c) is correct.

Find out more information about graph here:

https://brainly.com/question/9794343?referrer=searchResults

DUE IN 10 MINS HELP AS SOON AS POSSIBLE ASAP ILL GIVE BRAINLIEST!!

Answers

Answer:

m = -3

Step-by-step explanation:

First, find two clear points:

(1, -2) (0, 1)

Then, use the slope formula:

m = y2 - y1

      x2 - x1

m = 1 - (-2)

       0 - 1

   = 3  = -3

     -1

m = -3

This means that the rise-over-run is -3 over 1, or 3 over -1.

Which means three down and 1 to the right, or 3 up and 1 to the left.

Slope is the steepness of the line.

I need help please help me out .

Answers

21,540 multiply 359 times 60

4. Gabby ate 25 % of a whole pepperoni pizza.
Lebron ate 1/8 of the pizza.
What fraction of the pizza was left for Mohamed to eat?

Answers

Answer:

There is 5/8 left for Mohamed to eat.

Step-by-step explanation:

Let's put everything into fractions of 1/8. knowing that 25% is 1/4 or 2/8, 1/8 + 2/8= 3/8. and to find the answer, you need to subtract 3/8 from 8/8 or 1.

As a result, 5/8.

1/8 = 12.5%

12.5% + 25% = 37.5%

We need to know how much is left.

37.5% is gone, so 100% - 37.5% = 62.5%

62.5% is left for Mohamed to eat.

62.5% = 5/8.

5/8 of a pizza is left for mohamed to eat.

Find the point P that is 2/5 of the way from A to B on the directed line segment AB if A (-8, -2) and B (6, 19).

Answers

The location of the point P that is 2/5 of the way from A to B on the directed line segment AB if A(x, y) = (- 8, -2) and B(x, y) = (6, 19) is P(x, y) = (- 12/5, 32/5).

How to determine the location of a point within a line segment

By geometry we know that a line segment is generated from two distinct points set on a plane. The location of the point P within the line segment can be found by means of the following vectorial formula:

P(x, y) = A(x, y) + k · [B(x, y) - A(x, y)], 0 < k < 1     (1)

Where:

A(x, y) - Initial pointB(x, y) - Final pointk - Distance factor

If we know that A(x, y) = (- 8, - 2), B(x, y) = (6, 19) and k = 2/5, then the location of the point P is:

P(x, y) = (- 8, -2)  + (2/5) · [(6, 19) - (- 8, -2)]

P(x, y) = (- 8, -2) + (2/5) · (14, 21)

P(x, y) = (- 12/5, 32/5)

The location of the point P that is 2/5 of the way from A to B on the directed line segment AB if A(x, y) = (- 8, -2) and B(x, y) = (6, 19) is P(x, y) = (- 12/5, 32/5).

To learn more on line segments: https://brainly.com/question/25727583

#SPJ1

140,562 rounded to the nearest thousands

Answers

Answer:

It's 141,000

Step-by-step explanation:

because 4 or lower doesn't raise the rounding up it stay's the same if it is 4 or lower. But 5 or more raises it up so anything five or more you can round up. They taught me that in 4th grade but now i'm in 6th grade wich is so hard.

Six and forty-two ten-thousandths as a decimal

Answers

6.0042 is the answer
6.042 is the answer hope u get this

Which term describes −8/27?

Answers

Answer:

8/27. Though the question is a bit confusing. If your asking which term describes it, its this a multiple choice question?

Step-by-step explanation:

8 /27

is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions :

Find the GCD (or HCF) of numerator and denominator

GCD of 8 and 27 is 1

Divide both the numerator and denominator by the GCD

8 ÷ 1

27 ÷ 1

Reduced fraction:  

8 /27

Therefore, 8/27 simplified to lowest terms is 8/27.

Answer:

-8/27

Step-by-step explanation:

Help with 50-52 pleaseeeee ASAP

Answers

Answer:  -2

Step-by-step explanation:  

Flip the equation around and subtract 52-50.

The answer will be 2 so put a negative sign in front since the larger number is being subtracted.

(sorry if this explanation sucks i'm not that good at explaining things)

Question 16 (1 point)
Solve for X using Special Rights
X
13
y
1412
7
С
14
772

Answers

Answer:

d

Step-by-step explanation:

B. Solve the following Polynomials:
1. u³ + 64​

Answers

Answer:

(4 + u)(16 – 4u + u2)

Step-by-step explanation:

64 + u3.

= 43 + u3.

= (4 + u)(42 – 4.u + u2).

= (4 + u)(16 – 4u + u2).

find the square root of 625​

Answers

25 could I have brainliest plz !

Step-by-step explanation:

square root of 625 is 25

Carlos was baking 1,000 cookies for a yard sale. 3 people bought 82 cookies each. How many cookies does Carlos have left? Explain.

Answers

Answer: 754

Step 1: Multiply 82 x 3.

82 x 3 = 246.

Step 2: Subtract 246, because he sold this much cookies.

1,000 - 246 = 754

Answer = 754.

Hope this helps you!

Answer:

First we need to multiply 3x82. 3x82=246  now we need to subtract 246 from 1,000. 1,000-246=754

Step-by-step explanation:

Divide -3 3/4 divided by 3=?​

Answers

The answer to your question is -1/4

(-7, 13); slope = -2 Write the equation of the line in slope-intercept form with the given point and slope or two points.

Answers

Answer:

y=-2x-1

Step-by-step explanation:

13=-2*-7+b

13=14=b

-1=B

The equation of the line in the slope-intercept form will be 2x+y+1=0.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that,

The coordinate of the points are (x,y) = (-7, 13)

Slope, m = -2

The standard equation of a line is,

y = mx+c

Substitute the given coordinate value in order to find the intercept value as

13=-2×-7+c

13-14=c

-1=c

Put the values in the standard equation,

y = mx+c

y=-2x-1

Thus, the equation of the line in the slope-intercept form will be 2x+y+1=0.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Simplify: (8u^3−9u^2y)−(−4uy^2−8y^3)+(10u^2y+11uy^2).

Answers

Answer:

8u

3

+10u

2

y

˙

9u

2

y+11uy

2

+

˙

4uy

2

+8y

3

Answer:

[tex]8u^{3}+u^{2} y+15uy^{2}+8y^{3}[/tex]

Step-by-step explanation:

You must combine like terms:

[tex](8u^{2}-9u^{2}y)-(-4uy^{2}-8y^{3})+(10u^{2}y+11uy^{2})= \\8u^{3} -9u^{2} y+4uy^{2} +8y^{3}+10u^{2}y+11uy^{2}\\\\10u^{2}y-9u^{2} y= u^{2}y \\4uy^{2}+11uy^{2}= 15uy^{2} \\\\8u^{3} -9u^{2} y+10u^{2} y+4uy^{2} +11uy^{2} +8y^{3} =8u^{3} +u^{2} y+15uy^{2} +8y^{3}[/tex]

In a study of the effect of aluminum intake on the mental development of infants, a group of 54infants who had been born prematurely were given a special aluminum depleted intravenous-feeding solution. At an adjusted age of 18 months,the neurologic development of the infants were measured using the Bayley Mental Development Index (BMDI), a unitless scale with higher scores indicating higher development. They had a sample mean BMDI of 97.4 and a sample standard deviation of 18.0.The (BMDI) is similar to an IQ score, with 100 being the average in the general population.

Assuming all relevant assumptions are met, carry out the appropriate testto determine if infants who receivedthealuminum depleted intravenous-feeding solution had a significantly differentaverage BMDI score thaninthe general population. Be sure to include all the stepsfor full credit.

Given:critical value= = 2.00

Answers

Answer:

The decision rule is  

  Fail to reject the null hypothesis

The conclusion is

   The no sufficient evidence to conclude  that the average  BMDI score is different from the general population

Step-by-step explanation:

From the question we are told that

    The  sample size is  n  =  54

    The sample mean is  [tex]\= x  =  97.4[/tex]

    The standard deviation is  [tex]s = 18.0[/tex]

     The population mean is  [tex]\mu  =  100[/tex]

     The critical value  is  [tex]t_{critical } =  2.0[/tex]

Generally the test statistics is mathematically represented as  

       [tex]t =  \frac{\= x - \mu}{\frac{s}{\sqrt{n} } }[/tex]

=>    [tex]t =  \frac{ 97.4  - 100}{\frac{ 18}{\sqrt{54} } }[/tex]

=>    [tex]t =-1.062[/tex]

Comparing the obtained t statistics with the critical value we see that

   The  critical value is not within the region of rejection (i.e -1.062 to 1.062  )

Hence the decision rule is  

  Fail to reject the null hypothesis

The conclusion is

   The no sufficient evidence to conclude  that the average  BMDI score is different from the general population

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