Martha Stewart has developed a new perfume. She decides to test its side effects by spraying the perfume in 31 randomly chosen houses. She records the level of antigens that create an allergic response. If the antigen level is high enough, the person will go into anaphylactic shock. The mean of her sample is a lot bigger than the median, but Martha hopes that a 90% confidence interval will contain zero. Her confidence interval is (0.116, 1.884). Disappointed, she offers you $144 to find an acceptable, realistic way to change the confidence interval to contain zero. What could you say to earn the money

Answers

Answer 1

The acceptable and realistic ways to to change the confidence interval to contain zero are;

Martha should decrease x-bar by providing medicine to treat shock to the perfume users.Decrease sample size than 30Increase the confidence level, till the interval contains zero

Reasons:

The confidence interval is given by the following formula;

[tex]CI=\bar{x}\pm t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex]

When the mean, [tex]\overline x[/tex], is positive and large, both values, [tex]\bar{x}+ t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex], and [tex]\bar{x} -t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex], will be positive.

Therefore, Martha has to either intervene to reduce the mean also known as x-bar

Increasing the confidence level will increase the allowable error such that [tex]\bar{x} < t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex], and the interval will contain zero

Therefore;

Martha should decrease x-bar, [tex]\overline x[/tex], by providing medicine to treat shock to the perfume usersUse a much smaller sample size, n, such that [tex]t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}} > \bar{x}[/tex]

Increase the confidence level to 95% or 99%, thereby increasing the error bound

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Related Questions

Use exponents to rewrite this expressions: 2 × 2 × 2 × 2 × 4 × 4 × 4

Answers

Answer:

2^10

Step-by-step explanation:

Write equivalent expressions in factored form
2x + 8y

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Answer:

2(x) + 8(y)

Step-by-step explanation:

Help please lost on this question

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Answer:

First one is 6

Second one is 4

Step-by-step explanation:

Right on egg

What is the first quartile of 13,25,25,29,18,15,32​

Answers

Answer:

The first lower quartile is 15

The median is 25

Step-by-step explanation:

PLEASE HELP
What is the slope-intercept equation of the line shown below?
(1,5)

(-2,-4)


Answers

Answer

y=9/3x

Step-by-step explanation:

33
3
Solve the proportion.
р
28

Answers

p=308

I hope this is correct and if it is: I just cross multiplied

Answer:

p = 308

Step-by-step explanation:

WILL MARK BRAINLIEST PLS HELP ME ​

Answers

Answer:

c 480 square inches your welcome

i believe it is c. 480 square inches

look at pic 10 pts will mark brainilest

Answers

Answer:

120 cm squared

Step-by-step explanation:

To find this is like finding a rectangle, you can take the triangular part of it and move it over to the side to become a rectangle

we can find the rectangle side by doing

21-6=15

then multiply it

15*8=120

$600 invested at 5% compounded daily after a period of 3 years.

Answers

Answer:

$697.09

Step-by-step explanation:

The computation of the investment after 3 years is shown below:

As we know that

Amount = Present value × (1 + rate)^number of years

= $600 × (1 + 0.05 ÷ 365)^365× 3

= $697.09

Hence, the investment after 3 years is $697.09

We simply used the above formula to determine the investment

I will try and give Brainliest

Answers

D? i’m pretty sure sorry if it’s wrong

Answer:

[tex] \boxed{A. \: 134 \: in³} [/tex]

Explanation:

Volume of a cone: ⅓πr²h.

Where r is the radius, and h is the height.

The diameter is twice (2 times) the radius.

(⅓)(π)(4²)(16) – (⅓)(π)(4²)(8) =

256 / 3 π – 128 / 3 π =

128 / 3 π =

42 ⅔ π = 134.041287... ≈ 134 in³

Find 50% of 108:
Find 25% of 108:
Find 75% of 108:

Answers

Answer:

50% of 108: 54

25% of 108: 27

75% of 108:  81

Step-by-step explanation:

Hope this helps have a nice day

Answer:

50% : 54

25% : 27

75% : 81

Step-by-step explanation:

If you multiply by the decimal version of the precentages, you will get the remaining amount of how much it is. so to find 50% of 108, you do 108 * 0.50 and it will give you the 50% of 108.

If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X, ​

Answers

Answer:

The answer is option C..........

To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.

What is line segment?

A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.

To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.

The slope of AB can be calculated using the formula:

mAB = (y2 - y1) / (x2 - x1)

Similarly, the slope of CD can be calculated using the formula:

mCD = (ya - Y3) / (xx - X3)

If mAB = mCD, then AB is parallel to CD.

Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)

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Jill and Marlando are creating patterns

Answers

Answer:

15

Step-by-step explanation

3x5 is 15

One number is six less than a second number. Six times the first is 10 more than 4 times the second. Find the numbers
The value of the first number is

Answers

Answer:

1st number = 17

2nd number = 23

Step-by-step explanation:

x = 1st number

y = 2nd number

x = y - 6

6x = 10 + 4y

substitution method:

6(y - 6) = 10 + 4y

6y - 36 = 10 + 4y

2y - 36 = 10

2y = 46

y = 23

find 'x':

x = 23 - 6

x = 17

HELP I NEED ANSWERS NOW

Answers

Answer:

I am not sure but I think it is c

Step-by-step explanation:

Asap
It is for past paper that is due in tomorrow 29th

Answers

Answer:

(i) 22.5

(ii) 7.2

Step-by-step explanation:

(i)

AB:PQ = 2:5 = 1:2.5

So PQ is 2.5 times longer than AB.

PQ=2.5AB=(2.5)9=22.5

(ii):

Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:

QR=2.5BC

BC=QR/2.5=18/2.5=7.2

A bag contains 8 blue coins and 10 red coins. A coin is removed at random and replaced by three of the other color.
Part 1 out of 3
What is the probability that the removed coin is blue? Enter your answer as a simplified fraction. (PLEASE HELP)

Answers

Answer:

Wait can you re expain in the comments

Step-by-step explanation:

PLZ HELP!!! NO LINKS OR NON-ANSWERS!!!!!!!

Answers

I literally just did this lol ( b d and e) i did it on paper

Branliest will be helpful

Thx

The ratio of two similar triangles is 4/5. If a side in the larger triangle is 62, what is the length of the corresponding side in the smaller triangle?

Answers

Answer:

[tex]let \: the \: corresponding \: side \: of \: smaller \: triangl e \: be \: of \: length \: x \\ 4 \ratio5 = x \ratio62 \\ \frac{4}{5} = \frac{x}{62} \\ x = 62 \times \frac{4}{5} \\ x = 49.6[/tex]

What is the surface area of the figure? 408ft^2 458ft^2 545ft^2 720ft^2

Answers

9514 1404 393

Answer:

  (b)  458 ft²

Step-by-step explanation:

The total area is the sum of the L-shaped front and back areas and the areas of the 6 rectangular faces.

The front L-shaped area can be considered to be a 12 ft × 12 ft square with a 5 ft × 7 ft rectangle cut from the upper left corner. Its area is then ...

  (12 ft)(12 ft) -(5 ft)(7 ft) = (144 -35) ft² = 109 ft² . . . . front area

__

The sum of the areas of the rectangular faces is the product of the width of the figure (5 ft) and the perimeter of the L-shaped face. That perimeter is the sum of the edge lengths. Starting from the lower-left corner and working clockwise, we find the perimeter to be ...

  7 ft + 7 ft + 5 ft + 5 ft + 12 ft + 12 ft = 48 ft

Then the sum of rectangular face areas is ...

  (48 ft)(5 ft) = 240 ft² . . . . rectangular face area

The total surface area is then ...

  2×front area + rectangular face area

  = 2×109 ft² +240 ft² = 458 ft² . . . . total surface area

help fast plz !!!!!!!!!

Answers

Answer:

It should be 35

Step-by-step explanation:

Rectangle is graphed in the coordinate plane. The following are the vertices of the rectang A(- 2, 2), B(6, 2), C(6, 3) and D(- 2, 3) . What is the area of rectangle ABCD?

Answers

Answer:

Adenosine triphosphate

Answer:

The area of the rectangle ABCD will be 8 sq. units.

Step-by-step explanation:

The rectangle shape ABCD has vertices A(- 2,2), B(6,2), C(6,3) and D(- 2,3).  

Presently, length of side AB = [6 - (- 2)] = 8 units.  

{Since the line AB is corresponding to the x-pivot, so the length of the portion AB will be the contrast between the x-directions of the focuses An and B}  

Once more, line BC is corresponding to y-pivot and thus the length BC = (3 - 2) = 1 units.  

Subsequently, the space of the square shape ABCD will be (8 × 1) = 8 sq. units. (Answer)

help me pls pls pls PPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLSSSSSSSSSSSSSSSSS

Answers

Required area = 9× 5 + 6×3

= 45+18

= 63

The correct answer is 75+ 18 which is equal to 93

PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.

Answers

Answer:

yxu and tux are the alternate interior angles

Step-by-step explanation:

you just go across and then the other side

so pretty much mirroring it twice

Derek opened up a savings account that earns 1.25% interest, compounded monthly. If
he put $750 in the account to start, how much money would be in his account 7 years
later, assuming no additional money was deposited or withdrawn from the account?

Answers

Answer:

1537.92$

Step-by-step explanation:


Which one of the following U.S. customary units is closest in volume to I liter?

Answers

Answer:

c

Step-by-step explanation:

Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.

What is volume?

The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The relation between the quart and the liter is found as;

1 quarts = 0.94635295 liters

The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.

Hence,option D is correct.

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Pls help me no links I am serious

Answers

Answer:

March

Step-by-step explanation:

It’s March because in February there were 45 or so students, but then in March it went all the way up to 120. So, 120 - 45 = 75, which is the most amount of students increasing in a month.

I hope this helped and it wasn’t so confusing!!

Look at the image below, please! (I mark brainliest!)

Answers

Answer:

C, D, E

Step-by-step explanation:

10% of 33 is the same as the following, 0.1 * 33, 1/10 * 33, and 10/100 * 33, because they are all multiplying 33 by 0.1

dot plot shows the number of siblings each student has do at least 50% of students have more than 2 siblings? how do you know?

Answers

Answer:

Yes, because 2, 3, and 4 siblings added together will pass half of 20 ( the total of everything).

Step-by-step explanation:

An employee at the metropolitan museum of art surveyed a random sample of 150 visitors to the museum. Of those visitors, 45 people bought food at the cafeteria.Based on those results, how many people out of 1750 visitors to the museum would be expected to buy food for the cafeteria? NO LINKS!

Answers

Answer:

525 will the answer

Step-by-step explanation:

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