Most people complain that they gain weight during the December holidays. To find out how much, we sample the weights of 23 adults in mid-November and again in early to mid-January. The mean weight change for the sample was a gain of 1.64 lbs., with a standard deviation of the differences of 8.73 lbs. Find a 88% confidence level for the average weight gain.

Answers

Answer 1

Answer:

The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 23 - 1 = 22

88% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.88}{2} = 0.94[/tex]. So we have T = 1.6176

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.6176\frac{8.73}{\sqrt{23}} = 2.94[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.64 - 2.94 = -1.30 lbs

The upper end of the interval is the sample mean added to M. So it is 1.64 + 2.94 = 4.58 lbs

The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.

Answer 2

Answer: CANNOT DO

Step-by-step explanation:

The sample size is less than 30 and it does not specifically state that it is normally distributed, so you cannot compute the answer.


Related Questions

Find the circumference of the circle.

Answers

Answer:

72 .22 inches is the answer bro

Answer:

72.22 inches

Step-by-step explanation:

Formula for circumference given diameter is:

c = πd

If you use 3.14 for pi, you get 72.22 inches:

c = 3.14(23)

c = 72.22

Only answer if you’re sure :) id like the full equation! Will give Brainly

Answers

Answer:

[tex]y = \frac{3}{2} x - \frac{7}{2} [/tex]

Step-by-step explanation:

3x-2y=7

-3x -3x

-2y=-3x+7

-1 -1

2y=3x-7

2 2

y= 3/2x-7/2

A roller coaster begins at ground level, rises 63 feet, then falls 71 feet. What is the
elevation of the roller coaster, relative to the ground? *
134 feet
8 feet
- 8 feet
- 134 feet

Answers

Answer:

-8 feet

Step-by-step explanation:

63 - 71 = -8

Please help me!

Please!

Answers

Answer:

27

Step-by-step explanation:

9/1/3=9*3=27

Answer:

D. 27

Step-by-step explanation:

This is a simple division

[tex]9[/tex] ÷ [tex]\frac{1}{3}[/tex] =

[tex]\frac{9}{1}[/tex] ÷ [tex]\frac{1}{3}[/tex] =

Cross multiply

[tex]1[/tex] × [tex]1 = 1[/tex]

[tex]9[/tex] × [tex]3 = 27[/tex]

Set it up

[tex]\frac{27}{1}[/tex]

Then, the model represents 27

There are 24 students in a class, and three of them are named Madison. There are no other students in the class with the same name.

If the teacher calls on students randomly, which of the following BEST describes the probability of a Madison being chosen?

If you cannot see, zoom in on the photo.

Do not answer if you don’t know the answer.
Whoever answers correctly will get Brainliest!

Answers

Answer:

Mizuki is here to help! The answer is D!

Step-by-step explanation:

Ok... So there are 24 students in the class and no other students in the class has the same name right? So the fraction should be [tex]\frac{3}{24}[/tex] since there are three madisons, which will be 0.125!

Since three people have the same name, everyone else gets less probability of getting called so the answer would be D.

Answer:

Option D

Step-by-step explanation:

Total Students in a class: 24

Total Madisons in the class: 3

Denominator is always the total number of something so; [tex]\frac{3}{24}[/tex]

3/24 = 0.125

Any other student would have a probability of [tex]\frac{1}{24}[/tex] of being chosen which is less than [tex]\frac{3}{24}[/tex], therefore, Option D is the most sensible one.

Hope this helps!

Which of the following are examples of irrational numbers? Select all that apply.
V4 + V16
15+ 36
√9+ /24
2.v4
49.81

Answers

Answer:

A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction. An irrational number is a number that is NOT rational. It's the complete opposite!

= 2 + 4 = 6 ↔ rational

= 2 * 2 = 4 ↔ rational

= 7 + 9 = 16 ↔ rational

Hope this helps!!

Which of the following statements is TRUE if angle 4 has a measure of 127°?

If you can’t see the answer choices I apologize, but you can zoom in the photo.

DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)

Answers

Answer:

A

Step-by-step explanation:

the sum of angle 1 and angle 4 is 180

the answer is A because 53 + 127 = 180

△ABC ~ △DEF What is the scale factor between them?

Answers

2/3

6x = 4
x = 2/3

The scale factor can be determined by using similar sides

cuanto es 36x1000 por fa

Answers

Answer:

[tex]36 * 1000 = 36000[/tex]

Step-by-step explanation:

Have a nice day!

¡Que tenga un lindo día!

Answer:36000

Step-by-step explanatio:ESPERO TE AYUDE

Which graph represents the compound inequality?
-3 -5 -4 -3 -2 -1 0 1
2
3 4
5
-5 4 -3 -2 -1 0 1
2 3 4 5
-5 4 -3 -2 -1 0 1
2
3
4
5
OG
-5 4 -3 -2 -1 0 1 2 3 4 5

Answers

Answer:

4th option

Step-by-step explanation:

open circle means more than or less than

n is more than -3 but less than 1

How many solutions do the systems of equations have?
y =-1/3 x + 9
y =- 2/6x

Answers

The answer is: No solution.

Explanation:
The slopes are the same (-1/3 is the same as -2/6 because -2/6 can be simplified to -1/3) but the y intercepts are different.

the value of the variable which makes an equation a true sentence is called the ___ of the equation​

Answers

Answer:

Solution

Step-by-step explanation:

the value of the variable which makes an equation a true sentence is called the solution of the equation

Simplify this expression.
4^9/4^3

Answers

Answer: [tex]\frac{4^{9} }{4^{3} }[/tex]=4096

Steps:

[tex]\frac{4^{9} }{4^{3} }[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]\frac{4^9}{4^3}=4^{9-3}[/tex]

[tex]=4^{9-3}[/tex]

[tex]4^{9} -^{3}[/tex]

=4096

The Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.

What is simplifying?

Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler (usually shorter), for example.

Simplification of algebraic expressions, in computer algebra.

Simplification usually involves making the expression simple and easy to use later.

We need to Simplifying the expression

4 ^ 9 / 4 ^ 3 .

Now,  4 ^ 9 / 4 ^ 3

Using exponent formula;

= 4 ^ ( 9 - 3 )

= 4 ^ 6

= 4096

Therefore, the Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.

Learn more about simplification here;

brainly.com/question/723406

#SPJ2

Help
The circle graph shows the percent of time different people took turns driving during a 20-hour road trip.




How many hours did Dan drive?

Answers

Answer:  7.4 hours

==========================================================

Explanation:

Add up the percentage values:

25+20+6+6+6 = 63

This means 63% of the trip was driven by anyone but Dan. That must mean 100-63 = 37% of the trip is how much Dan drove.

Apply this percentage to the 20 hour duration

37% of 20 = 0.37*20 = 7.4 hours represents how long Dan drove.

extra notes:

7.4 hours = 7 hours, 24 minutes because 0.4 hours = 0.4*60 = 24 minutes7.4 hours = 7 hrs + 24 min = 7*60+24 = 444 minutes

NEED HELP NOW!
Question 4(Multiple Choice Worth 5 points) (07.06A MC) What is the initial value of the function represented by this table?

Answers

i think the answer is b

Can y’all help me?!

Answers

Answer:D

Step-by-step explanation:

3 is on the positive x side and 2 is on the negative y side so it will be (3,-2)

Please answer I need this AS SOON AS POSSIBLE A

Answers

Answer:

When using desmos I got y=x^{2}-4x+3 (the 2 is an exponent btw) I inserted a picture. I hope this helped

Step-by-step explanation:

In the line plot, how many more students live 2 miles from school than students that live 1 mile from school?

Answers

Answer:

3 more students

Step-by-step explanation:

6-3=3

How did you get that?

6 students live 2 miles away, while only 3 students live 3 miles away. To find the difference, subtract the two numbers.

Find the volume of a pyramid with a square base, where the perimeter of the base is 10.4 in and the height of the pyramid is 9.6 in. Round your answer to the nearest tenth of a cubic inch.​

Answers

9514 1404 393

Answer:

  21.6 in³

Step-by-step explanation:

The volume of a square pyramid is given in terms of perimeter and height by ...

  V = (1/48)P²h

  V = (1/48)(10.4 in)²(9.6 in) ≈ 21.6 in³

The volume is about 21.6 cubic inches.

You have just secured a job at a web development company. You get paid $19.50 an hour and work
35 hours per week. Your take home pay will be 60% of your total income. You are planning to make
a budget and have estimated that your rent will be about 29% of the total budget. How much money
will you need to pay rent? Answer to the nearest cen



PLEASE HELP ASAP AND IF U SEND A LINK = REPORT

Answers

39,000 PER YEAR FOR THIS

Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Exam Image Exam Image We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic

Answers

Answer:

[tex]t = 31.29[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccc}{Stick} & {25.8} & {26.9} & {26.2} & {25.3} & {26.7}& {26.1} \ \\ {Liquid} & {16.9} & {17.4} & {16.8} & {16.2} & {17.3}& {16.8} \ \end{array}[/tex]

Required

Determine the test statistic

Let the dataset of stick be A and Liquid be B.

We start by calculating the mean of each dataset;

[tex]\bar x =\frac{\sum x}{n}[/tex]

n, in both datasets in 6

For A

[tex]\bar x_A =\frac{25.8+26.9+26.2+25.3+26.7+26.1}{6}[/tex]

[tex]\bar x_A =\frac{157}{6}[/tex]

[tex]\bar x_A =26.17[/tex]

For B

[tex]\bar x_B =\frac{16.9+17.4+16.8+16.2+17.3+16.8}{6}[/tex]

[tex]\bar x_B =\frac{101.4}{6}[/tex]

[tex]\bar x_B =16.9[/tex]

Next, calculate the sample standard deviation

This is calculated using:

[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]

For A

[tex]s_A = \sqrt{\frac{\sum(x - \bar x_A)^2}{n-1}}[/tex]

[tex]s_A = \sqrt{\frac{(25.8-26.17)^2+(26.9-26.17)^2+(26.2-26.17)^2+(25.3-26.17)^2+(26.7-26.17)^2+(26.1-26.17)^2}{6-1}}[/tex]

[tex]s_A = \sqrt{\frac{1.7134}{5}}[/tex]

[tex]s_A = \sqrt{0.34268}[/tex]

[tex]s_A = 0.5854[/tex]  

For B

[tex]s_B = \sqrt{\frac{\sum(x - \bar x_B)^2}{n-1}}[/tex]

[tex]s_B = \sqrt{\frac{(16.9 - 16.9)^2+(17.4- 16.9)^2+(16.8- 16.9)^2+(16.2- 16.9)^2+(17.3- 16.9)^2+(16.8- 16.9)^2}{6-1}}[/tex]

[tex]s_B = \sqrt{\frac{0.92}{5}}[/tex]

[tex]s_B = \sqrt{0.184}[/tex]

[tex]s_B = 0.4290[/tex]

Calculate the pooled variance

[tex]S_p^2 = \frac{(n_A - 1)*s_A^2 + (n_B - 1)*s_B^2}{(n_A+n_B-2)}[/tex]

[tex]S_p^2 = \frac{(6 - 1)*0.5854^2 + (6 - 1)*0.4290^2}{(6+6-2)}[/tex]

[tex]S_p^2 = \frac{2.6336708}{10}[/tex]

[tex]S_p^2 = 0.2634[/tex]

Lastly, calculate the test statistic using:

[tex]t = \frac{(\bar x_A - \bar x_B) - (\mu_A - \mu_B)}{\sqrt{S_p^2/n_A +S_p^2/n_B}}[/tex]

We set

[tex]\mu_A = \mu_B[/tex]

So, we have:

[tex]t = \frac{(\bar x_A - \bar x_B) - (\mu_A - \mu_A)}{\sqrt{S_p^2/n_A +S_p^2/n_B}}[/tex]

[tex]t = \frac{(\bar x_A - \bar x_B) }{\sqrt{S_p^2/n_A +S_p^2/n_B}}[/tex]

The equation becomes

[tex]t = \frac{(26.17 - 16.9) }{\sqrt{0.2634/6 +0.2634/6}}[/tex]

[tex]t = \frac{9.27}{\sqrt{0.0878}}[/tex]

[tex]t = \frac{9.27}{0.2963}[/tex]

[tex]t = 31.29[/tex]

The test statistic is 31.29

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

8.8

Step-by-step explanation:

To find the hypotenuse...

a²+b²=c²

C is the hypotenuse, so we add the others...

8.4²+2.6²=c²

70.56+6.76=c

77.32=c

Now, square root c to bring it to its original position.

√77.32=8.8

Your answer is 8.8 yards.

pls help i’ll give brainliest

Answers

Answer:

94

Step-by-step explanation:

So

376= x + 3x

Where x is the hambugers and 3 x is cheeseburgers

so it is the same as

376= 4x

divide both sides by 4

x= 94

we can check by tripling x = 283 and adding the hamburgers we found to be 94 which gives us 376

Pls help me I will mark is your right :)

Answers

I think it’s 12cm:)))))))))))))))))))

Andre drank 1.5 liters of water he brought. If he drank 80% of his entire hike, how much did he drink?

(please do explanation)

Answers

Answer:

He drank 1.2 liters

Step-by-step explanation:

1.5 X 0.8 (80%) = 1.2

Also the dude below also took my points when i asked a question :)

What is the difference In -4-(-7)

Answers

Answer:

Step-by-step explanation:The Apple iPhone 7 has a 4.7-inch size display, while the iPhone 7 Plus has a 5.5-inch display. The standard iPhone 7 has a 1334 x 750 pixel resolution, while the Plus has a Full HD resolution meaning their pixel densities are 326ppi and 401ppi, respectively.

Which value makes the number sentence true?

Answers

Answer:

D) 19

Step-by-step explanation:

-7 + 19 = 12

A study selected independent random samples of 50 dogs and 60 cats and found that 38 of the dogs and 15 of the cats could be trained to fetch a ball.

Do these data provide convincing evidence that the proportion of all dogs that can be trained to fetch a ball is greater than the proportion of all cats that can be trained to fetch a ball?

Use Alpha = 0.05.

Select all statements that are correct.

We have two independent random samples.
We have two groups in a randomized comparative experiment.
The 10% condition is met.
The 10% condition does not apply.
The expected number of successes and failures for both samples are 38, 12, 15, 45.
The expected number of successes and failures for both samples are 24, 26, 29, 31.

Answers

Answer:

Sorry for answering this late, only just found this.

Answers are

a. We have two independent random samples.

c. The 10% condition is met.

f. The expected number of successes and failures for both samples are 24, 26, 29, 31.

Step-by-step explanation:

EDGE 2021

Once I finish the assignment I'll be making a quizlet with the answers.

Hai everyone! I need a little help again on this second part of a problem. Please do not leave links or you will be reported. (Yes, this is another problem on probability I'm stuck on)

An explanation to go along as well would be very helpful.

problem:

Answer the following question using arrangements with repetition, permutations, or combinations.

How may different six-digit passwords can be formed from the numbers zero to six if repetition is not allowed? Calculate how many different passwords are possible. (Type a whole number.)​

Answers

Answer:

one million

Step-by-step explanation:

a six digit passcode has one million possible combinations instead of 10,000.

Find the volume of the given prism. Round to the nearest tenth if necessary.

Find the surface area of the cylinder to the nearest whole number,

Answers

Answer:

18. 2,047.5 yd³

19. 3204 in.²

Step-by-step explanation:

18. Volume of triangular prism = triangular base area × height of prism

Height of prism = 21 yd

Triangular base area = ½*b*h

b = 15 yd

h = √(15² - 7.5²) = √168.75 ≈ 13 yd

Triangular base area = ½*15*13 = 97.5 yd²

Plug in the values into the formula of the volume of prism

Volume of prism = 97.5 × 21

= 2,047.5 yd³

19. Surface area = 2πrh + 2πr²

Where,

r = 15 in.

h = 19 in.

Plug in the values

Surface area = 2*π*15*19 + 2*π*15²

Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)

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