Following are weights, in pounds, of two-month-old baby girls. It is reasonable to assume that the population is approximately normal.

12.32 11.87 12.34 11.48 12.66
8.51 14.13 12.95 9.34 8.63

Required:
a. Construct a interval for the mean weight of two-month-old baby girls.
b. According to the National Health Statistics Reports, the mean weight of two—month-old baby boys is 13.9 pounds. Based on the confidence interval, is it reasonable to believe that the mean weight of two-month—old baby girls may be the same as that of two-month-old baby boys? Explain.

Answers

Answer 1

Answer:

10.224 < μ < 12.622 ;

Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.

Step-by-step explanation:

The confidence interval is given as :

Mean ± Margin of Error

margin of error = Zcritical * standard deviation /sqrt(n)

n = sample size

From the data:

12.32, 11.87, 12.34, 11.48, 12.66, 8.51, 14.13, 12.95, 9.34, 8.63

From the data:

Using calculator :

Mean, = 11.423

Standard deviation, s = 1.934

Zcritical at 95% confidence interval = 1.96

Sample size, n = 10

Margin of Error = 1.96* 1.934/sqrt(10) = 1.199

Lower boundary = 11.423 - 1.199 = 10.224

Upper boundary = 11.423 + 1.199 = 12.622

10.224 < μ < 12.622

Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.


Related Questions

105-30-45-3028+10000000000000038492=?

Answers

Answer:

105-30-45-3028+10000000000000038492= 1.000000000000003e19

Step-by-step explanation:

I did the math

have a good day!!

How many millimeters equal 5 liters?

Answers

Answer:

multiply the volume value by 1e+6

Step-by-step explanation:

This is the table answer this please

Answers

Answer:

so answer is b.42

Step-by-step explanation:

3 7

6 14

9 21

every time width increase by 3 length increase by 7 so:

12 28

15  35

18    42

What are the steps to solve a quadratic equation? (If you do not give a thorough explanation you will be reported.) Have a good day! :)

Answers

Answer:

See below

Step-by-step explanation:

first thing you didn't give any quadratic equation and also didn't allude which method you indeed however I'll give you two methods

factoringquadratic formula

to get elaborately factoring method

see this question which is answered by me

https://brainly.com/question/22505331

quadratic formula:

[tex] \displaystyle \: x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac } }{ 2a} [/tex]

by using this formula we can solve quadratic very early

we just need to substitute the value of a,b and c and simply to get x

https://brainly.com/question/9701183?referrer=searchResults

Example 1 – Solve: Example 1

Step 1: Identify a, b, and c and plug them into the quadratic formula. In this case a = 1, b = –8, and c = 14.  

Step 1

Step 2: Use the order of operations to simplify the quadratic formula.  

Step 2

Step 3: Simplify the radical, if you can. In this case you can simply the radical into:  

Step 3

Step 4: Reduce the problem, if you can. In this case you can reduce the entire problem by 2.  

Which function models the sum?

Answers

I can’t see it I just see black

Help me help me pls!

Answers

Answer:

13.6 units (to 3 significant figures)

Step-by-step explanation:

C ( -4,6) and D (-4,-5)

the formula for distance is : √(x2 - x1)² + (y2-y1)²

in this case x1= -4 , x2= -4 and y1 =6 , y2 = -5

so substitute the values and you will get the answers

HELP PLEASE DUE IN 4 MINUTES

Answers

Answer:

8/3

Step-by-step explanation:

Answer:

C. 2/3

Step-by-step explanation:

this is the correct answer

Write a quadratic function to model the graph to the right
f(x)=0
20-
18-
16-
14
12-
10-
8-
6-
4
2-
10 -3 -6
8

Answers

Answer:

10 -3 -6

Step-by-step explanation:

please help me. I can't find this out

Answers

Answer:

-1

-1

5

-1,3

7fufuviiviviv8h

-1
-1
5
-1,3
hope this helps!<3

Please help me !!!!!!

Answers

Answer:

200 step by step

Step-by-step explanation:

The length of a rectangle is x feet more than its width. The area of the rectangle is 5x + 25. What is the width of the rectangle?

Answers

Answer:

w = [tex]l + \frac{25 - l^{2}}{l - 5}[/tex]

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

Before we start the solving, we can make the following statements:

Area = l x w

Area = 5x + 25

therefore,

l x w = 5x + 25

Since the question states that the length is x more than the width, so we can make the following statement:

w = l + x

With this, we can substitute it to the first statement we made, l x w = 5x + 25,

l x (l + x) = 5x + 25

[tex]l^{2}[/tex] + lx = 5x + 25

lx - 5x = 25 - [tex]l^{2}[/tex]

x(l - 5) = 25 - [tex]l^{2}[/tex]

x = [tex]\frac{25 - l^{2}}{l - 5}[/tex]

From this, we can find w by substituting it in the statement we made earlier, w = l + x,

w = [tex]l + \frac{25 - l^{2}}{l - 5}[/tex]

you can see that there is 8 cm in middle of the trapezoid. above the trapezoid, it says 6 cm, below the trapezoid, it says 11 cm. find the area of the trapezoid and answer this question in square cm.​

Answers

Answer:

Step-by-step explanation:

The area of a trapezoid is the average of the parallel bases times the height or distance between the two bases

A=h(b1+b2)/2

Here we have h=8cm, b1=6cm, and b2=11cm so

A=8(6+11)/2

A=8(17)/2

A=4(17)

A=68 cm^2

Evaluate the expression where x= 5 y=2

Answers

4/7 because the equation would be 2(7-5)
over
5+2
so it would be
2(2)
over
7

and then it would be
4
over
7

A restaurant's delivery area has a boundary represented

by a circle on a coordinate grid. The locations at the

points (0, 26) and (8, -2) are on the boundary of the

circle's diameter.

Answers

Answer:

Step-by-step explanation:

(4,12)

-4,-12,212

Answer:

The coordinates of the location of the restaurant are

✔ (4, 12)

The equation for the circle that models the boundary of the delivery area is

(x

– 4

)2 + (y

– 12

)2 =

✔ 212

.

Step-by-step explanation:

Brainiest guranted question below.

Answers

Answer:

48

Step-by-step explanation:

30 is 5/8 of ?

30x8=240

240/5=48

(18 Math teachers and 30 non-Math teachers)

can somebody help me with math TwT:

question one 1: Which number(s) are 6 units from zero on a number line?

1. 3
2. 6
3. -6
4. 12

----------------------------------------------------------------------------
Question 2 ^^: Which comparison is not correct?

1. -3 < 4
2. 3 < 6
3. 1 > -9
4. -8 > -6

tell me the answers also for question 1 its either one or more than one answer ^^ ty and please don’t steal my points :(

Answers

1. 12 (i think)

i don't know about question 2

Answer: -8 > -6

Step-by-step explanation:

Simplify the following fraction: 12/8

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

have a good day

Work out the area of this circle. Give your answer in terms of pi and state its units.

Answers

9514 1404 393

Answer:

  36π mm²

Step-by-step explanation:

You know that (ab)² = a²b². This tells you that ...

  πr² = π(6 mm)² = π(6² mm²) = 36π mm²

The units of area are square millimeters (mm²).

_____

Additional comment

For a variety of reasons, I find it is often helpful to keep units of measure with the associated number. It serves as a check on the arithmetic, among other things. If the units don't make sense, chances are good that the math doesn't make any sense.

It should be fairly obvious that if linear dimensions are in millimeters, then the corresponding area dimensions will be square millimeters. (Volume will be cubic millimeters.)

In the math, the units can be treated in the same way as any other variable. This tells you, for example, that you can only add (or subtract) measures with the same units (like terms). Division can be used to cancel same units, or to get from volume to area, for example (mm³/mm = mm²).

the ratio of lampreys to oarfish in the marine aquarium was 27:22 if there were 162 lampreys in the aquarium how many oarfish were there

Answers

Answer:

132

Step-by-step explanation:

First divide the number of lampreys by the ratio.

162/27=6

Then multiply the result (6) by the oarfish part of the ratio

22*6=132

Branliest to correct answer explain how you solved it please

Answers

Answer:

{1}

Step-by-step explanation:

A ∩ B ∩ C means A intersection B intersection C. That means the question is asking for a set of numbers that are in sets A, B, and C.

{1} is the answer since it is the only number that is in all three sets.

The following list has a median of 43. what would be the new median if 21 was added to the list?
31 48 50 23 28 52 57 38 56 27

Answers

Answer:

38

Step-by-step explanation:

cross the numbers out

what is -1/8 - 6 7/8​

Answers

Answer:

-7

Step-by-step explanation:

I am sorry if I got it wrong.

they are right it is -7

Please help me solve this I’ll give you all my points

Answers

Answer:

170

Step-by-step explanation:

170 Is the answer! Good luck

19) An airplane has 150 passengers. 48% of the passengers are traveling alone.
How many passengers are traveling alone?

Answers

Answer:

72 passengers

Step-by-step explanation:

What we know:

There are 150 passengers in total48% of the passengers are travelling alone

To find how many passengers are travelling alone, multiply 150 by 48%.

48% ⇒ 0.48 as a decimal

150 × 0.48 = 72

Therefore, 72 passengers are travelling alone.

I hope this helps!

Answer:

72

Step-by-step explanation:

the table above represents what

Answers

Answer: exponential decay

Step-by-step explanation:

Exponential decay means that it's getting smaller and you can see that the numbers are getting smaller on the y axis.

Hope this helps :)

Solve the linear system below using the substitution method.
y = 5x – 22
3x +2y=34

Answers

Answer:

Use photo math, it will explain all the steps

Answer:

x = 6 , y = 8 ( 6 , 8 )

Step-by-step explanation:

If we solve the linear system that you gave us,

y = 5x – 22

3x +2y=34

We get that x is 6 and y is 8.

In other words, since it's a point, it should be, ( 6 , 8 )

Find the inverse of the function.
f(x) = -3x + 7

Answers

f(x) = -3x + 7
y = -3x + 7
x = -3y + 7
-3y + 7 = x
-3y = x - 7
y = -1/3x + 7/3
f^-1(x) = -1/3x + 7/3

36 is 18% of what number

Answers

Answer:

200

Step-by-step explanation:

Do 36/0.18

200

200 because 100% divided by 18 = 5.55555556 and 5.55555556x36=200

A shoe box is 4 inches wide, 3 inches deep, and 12 inches long. What is the volume?

I know it's 144 but 144 what?​

Answers

Answer:

144in square

Step-by-step explanation:

Help please. Mathematics question 6.

Answers

[tex]{ :{ \implies { \tt{ \blue{ \frac{1}{4} x + 3 - \frac{1}{3} x + ( - 2)}}} }}\\ \\ \\ { : { \implies{ \blue{ \tt{ \frac{1}{4} x - \frac{1}{3} x + 3 - 2}}}}}[/tex]

[tex]{ : { \implies{ \tt{ \blue{ \frac{1}{4} x - \frac{1}{3} x + 1}}}}} \\ \\ \\ { : { \implies{ \tt{ \blue{ \frac{3x - 4x + 12}{12}}}}}} [/tex]

[tex]{ :{ \implies{ \blue{ \tt{ \frac{12 - x}{12}}}}}} \\ \\ \\ { : { \implies{ \blue{ \tt{1 - \frac{x}{12}}}}}} [/tex]

option ( D ) is correct

Oh god I don’t know
Other Questions
Consider we have n pointers that need to be swizzled, and swizzling one point will take time t on average. Suppose that if we swizzle all pointers automatically, we can perform the swizzling in half the time it would take to swizzle each separately. If the probability that a pointer in main memory will be followed at least once is p, for what values of p is it more efficient to swizzle automatically than on demand? Please help me with this Tina realizes that she needs to figure out the answer to the question, "How many groups of 1/12 are in 2?" The total cost to go horseback riding is x dollars per hour plus a $2 fee for renting a helmet. Which expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each? Select all that apply.4(3x+2)3(4x+2)6x+3+6x+54(3x)+4(2)12x+83x(4)+2 Answer please 9 - (-4). Which refers to the time that plans for thefuture are made and agreed upon? Which statement best describes the economy of Louisiana?A. Most businesses in the state are publicly traded companies.B. Most of the companies operated in the state are small businesses.C. Fortune 500 companies employ the majority of Louisiana workers.D. The states economy is half small businesses and half big businesses.TEST PLZ HELP A cat can eat 1/2 of a bag of food in 3/4 of a month. How much food can the cat eat in 1 month which of the following recources was from east to west Tengo una duda estoy leyendo the invencin of the telephone y quiero saber cual era su trabajo regular ? For the following right triangle, find the side length x.XII815 Explain each of these impacts and suggest a solution that would reduce the losses caused by bycatch. Write an equivalent expression to x-6y+5x-6y+5= x-(-6y)+5x-6y+5= 5 (x-6y+1)x-6y+5= x+5+(-6y)x-6y+5= x+5+6y Please help! 18/20. Will give brainliest! Spam answers will not be tolerated!Factor. [tex]2x^5-7x^3-4x[/tex] Find all the missing sides and angles (picture attached) Explain how to solve the equation and how to check the solution. Explain how to solve the equation. StartFraction c over 6 EndFraction = 9 The height of one cylinder is 8 cm, and the radius of its base is 5 cm. The height of a second cylinder is 24 cm, and the radius of its base is 5 cm. How many times the volume of the first cylinder is the volume of the second cylinder? A car slams into a wall with a force of 5000 N. What is the force of the wall on the car? 5000 N -5000 N 49000 N 510 N It cannot be determined with the information provided. In this rectangular box, EF = 6, FD = 5, and DB = 8. Find A F . A. V61 B. V89 C. 10 D. 5V5 Help plz ASAP nowwwwwwww