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

Learn more here:

https://brainly.com/question/13034570


Related Questions

Evaluate.

(w2x−3)÷10⋅z when w=−9, x = 2.7, and z=−25

Enter your answer as a simplified mixed number in the box.

Answers

Answer:

-539.25

Step-by-step explanation:

(w^2x−3)÷10⋅z

w=−9, x = 2.7, and z=−25

((-9)^2*2.7−3)÷10⋅(-25)

Parentheses first

The exponent in the parentheses

(81*2.7−3)÷10⋅(-25)

Then multiply

(218.7−3)÷10⋅(-25)

Then subtract

(215.7)÷10⋅(-25)

Now multiply and divide from left to right

21.57*(-25)

-539.25

Answer: It's -1 2/25.

If the volume of a cube is 225 cubic inches, estimate the length of each side of the cube to the nearest tenth. __in.

Answers

9514 1404 393

Answer:

  6.1 in

Step-by-step explanation:

Your calculator can tell you the cube root of 225 is about 6.08220.

The side of the cube is about 6.1 inches.

_____

  V = s³

  ∛V = s = ∛(225 in³) ≈ 6.1 in

Use the cards below to create a list of steps, in order, that will solve the following equation.
3(x+6)2 = 75
Solution steps:
Add 6 to both sides
Divide both sides by 3
1
Divide both sides by
3
Subtract 6 from both sides
ay
23
Square both sides
Take the square root of both sides

Answers

1. Divide both sides by 3
2. Take the square root of both sides
3. Subtract 6 from both sides

Tianna works at a call center. Between 12 PM and 4 PM only 5% of her attempted calls pick up. Between 4 PM and 8PM, 15% of her attempted calls pick up. If she expects to make 80 calls between 12 PM and 4PM and 120 calls between 4 PM and 8 PM, how many total pick ups can she expect during her entire shift?
15
18
4
22​

Answers

Answer:

.05(80) + .15(120)=

4 + 18 = 22

So, the total pick ups is 22.

Step-by-step explanation:

21. You place a mat around a 25 in by 21 inch painting as shown. The mat
is twice as wide at the left and right of the painting as it is at the top an
bottom of the painting. The area of the mat is 714 square iinches (note:
the area of the border). How wide is the mat at the left and right of the
painting? At the top and bottom of the painting? (P.264 #66)

Answers

Using a quadratic equation according to the area of the rectangular mat, it is found that:

At the top and bottom of the painting, the width is 0.654 inches.At the left and right of the painting, the width is of 1.308 inches.

The area of a rectangle of length l and width w is given by:

[tex]A = lw[/tex]

In this problem:

The length of the figure is of [tex]l = 25 + 4x[/tex].The width of the figure is of [tex]w = 21 + 2x[/tex].Area of 714 square inches, thus:

[tex]lw = 714[/tex]

[tex](25 + 4x)(21 + 2x) = 714[/tex]

[tex]8x^2 + 134x + 525 = 714[/tex]

[tex]8x^2 + 134x - 189 = 0[/tex]

Which is a quadratic equation with [tex]a = 8, b = 134, c = -189[/tex].

The, to find the widths of the mat, we have to first find the value of x, solving the quadratic equation.

[tex]\Delta = 134^2 - 4(8)(-189) = 24004 [/tex]

[tex]x_{1} = \frac{-134 + \sqrt{24004}}{2(8)} = 0.654[/tex]

[tex]x_{2} = \frac{-134 - \sqrt{24004}}{2(8)} = -9.03[/tex]  

We are interest in the positive value of x, so x = 0.654.

At the top and bottom of the painting, the width is of 0.654 inches.

[tex]2(0.654) = 1.308[/tex]

At the left and right of the painting, the width is of 1.308 inches.

A similar problem is given at https://brainly.com/question/14099239

Pls somone tell
Me the answer plzzzz

Answers

Answer:

POSITIVE

Step-by-step explanation:

Because the product of 2 negative numbers is a positive number

Negative is ur answer

Sam bowled three games with scores of 210, 185, and 190. He needs to have a four-game average of 205 to qualify for an elite bowling league. What score does he have to bowl on the fourth game to have the average of 205 that he needs?

Answers

Answer: 235

Step-by-step explanation:

Total score if he average 205 = 205 * 4 = 820

Score needed on 4th game = 820 - 210 -185 - 190 = 235

*Cho hình chóp
S ABCD .
có đáy
ABCD
là hình chữ nhật biết
AB a  2
. Tam giác

SAD
cân tại
S
và nằm trong mặt phẳng vuông góc với đáy. Biết
SC a  6
. Đặt

AD x x    0

. Giá trị của
x
theo
a
sao cho thể tích khối chóp
S ABCD .
lớn nhất là

Answers

Answer:

que

Step-by-step explanation:

no ablo ese idioma v

please help!! will mark brainlist!​

Answers

Answer:

i think its the middle one

Step-by-step explanation:

Your correct answer is the middle one F(n)=F(n-1)+40; F(n)=83+40(n-1)

0.43
decimal place(s)
X 0.2
decimal place(s)
0.086
decimal place(s)

Answers

if you’re checking to see if this is correct, it is!

I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

Mark this as Brainliest if you get a chance:)

Which number line graph matches the solution to -4x+2<6?

Answers

Answer:

B

Step-by-step explanation:

-4x+2<6

-4x+2 -2 < 6 -2

-4x < 4

-4x ÷ -4 < 4 ÷ -4

x < -1

A group of 20 friends plays a card
game. The game can be played with
2 or more teams of equal size. Each
team must have at least 2 members.
List the possible numbers and sizes
of teams.

Answers

There can be two groups of 10 players on each team, or four groups of 5 on each team.

I dont know how to do this Please explain!!!

Answers

Using the idea that similar triangles are proportional, we can solve this problem fairly easily using a proportion. It is always best to try to draw a picture if possible, as it may increase your understanding of the problem! I have attached an image of the situation.

Proportion: The woman's distance from the laser / the woman's height = the lamp post's distance from the laser / the lamp post's height

2.1 / 1.8 = 4.5 / x

8.1 = 2.1x

x = 3.9m

Hope this helps!! :)

Kim bought a $2,310.25 snow thrower on an installment plan. The installment agreement
included a 15% down payment and 24 monthly payments of $125 each. What is the total
finance charge?
O d) $1,036.29
O c) $346.54
O a) $3,346.54
Ob) $3,000

Answers

i worked it out that you do 2,310.25 x 0.15 to get the 15% and then added the 24 x 125 which answered $3,346.54

How many seconds did eatons baby sister sleep all together

Answers

the answer I do not know because I can not see the picture or word problem

Answer:

if said babysitter is watching my babies there better be zero seconds of sleeping so 0


Please help will mark brainliest!

Answers

Answer:

chromosomes

Step-by-step explanation:

Solve the following for X:
4x + y = z
a. x = z - y - 4
b. x = z+y/4
c. x = z-y/4
d. x = z/4

Answers

Please check the attached picture

Answer:

the answer is c

Step-by-step explanation:

I used brainly

If I`m going to solve "what is the percent is 29.00 out of of 122.50 what do I multiply by 100 or 122.50?

Answers

Answer:

I don't know the answer you know

What percent is 29 out of 122.50 is the same as, “29% of 122.50”

All you need to do is to convert 29% to decimal by moving the decimal point 2 places to the left = 0.29.

Next, multiply 0.29 by 122.50:

0.29 × 122.50 = 35.525 or 35.53 (or 36 if rounded to the nearest ones or whole number).

Please mark my answers as the Brainliest if you find this helpful :)

Contestants ABCDEFG and I are in a 10k race. In how many ways can C finish first and A finish second?

Answers

Answer:

I would advise you to simplify the question a little bit so that more people can understand and help you out!

PLEASE HELP DUE AT 12:00 PM

Answers

Answer:

A) 5; B) 32; C) 3; D) 14; E) 1/3

Step-by-step explanation:

Answer:

1. 5

2. 42

3. 3

4. 14

5. 0.3333

Step-by-step explanation:

Third Grade:

8 x 5 = 40

8 + 42 = 40

21 ÷ 7 = 3

21 - 14 = 7

---------------------------21 • x = 7

Which can be written as:

21x = 7

To solve the equation above, we need to remove the 21 on the left side to make the x alone. To do that, we divide both sides by 21.

21x/21 = 7/21

21x/21 is x and 7/21 is 0.3333 which means our equation will look like this:

x = 0.3333

Thus, the answer to "21 times what equals 7?" is 0.3333.

Graph the function (x) -7x^2

Answers

Answer:

See Picture

Step-by-step explanation:

I hope this helps!

How to find the square root in long division method for 5.4289

Answers

The Square root of 5.4289 is 2.33

(explanation attached)

HELPPP PLEASE!!! I’M BEING TIMED!!!!

Answers

Answer:

y= -7x -27

Step-by-step explanation:

help me!
Read the excerpt from A Girl Named Zippy.

Not long ago my sister Melinda shocked me by saying she had always assumed that the book on Mooreland had yet to be written because no one sane would be interested in reading it.

Why is the author shocked by what Melinda says?

A.She thought her sister believed Mooreland was exciting.
B.She had heard that her sister wanted to write a memoir.
C.She did not understand what Melinda meant by “no one sane.”
D.She did not agree with her sister that Mooreland was a boring place.

Answers

Answer:

OPTION D

Step-by-step explanation: PLS MARK BRAINLIEST :D

D

is the answer to your question

Write the equation of the line that passes through the points (-3, -3) and (8,7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y + 3 = 10/11(x + 3)

Step-by-step explanation:

Given the points (-3, -3) and (8, 7), we can use these coordinates to solve for the slope of the line using the formula:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

Let (x1, y1) = (-3, -3)

(x2, y2) = (8, 7)

Substitute these values into the slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{7 - (-3)}{8 - (-3)} = \frac{10}{11}[/tex]

Thus, slope (m) = 10/11.

Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:

y - y1 = m(x - x1)

Let (x1, y1) = (-3, -3)

m = 10/11

y - y1 = m(x - x1)

y - (-3) = 10/11[x - (-3)]

Simplify:

y + 3 = 10/11(x + 3) this is the point-slope form.

what is the product of - 4 and 9? show your work using numerical property​

Answers

Answer:

36

Step-by-step explanation:

um here

9 x 4 = 36

hope it helps :D

Aubrey is studying for her math test. She knows she will need to round decimals to the tenths place on her test, but she forgets how to do it. Using the number 125.671 as an example, remind Aubrey the steps to rounding decimals to the nearest tenth.
Aubrey the steps to rounding decimals to the nearest tenth.

Answers

Answer:

125.7'

Step-by-step explanation:

What is the answer please help

Answers

QUESTION 1 :

Day 1 = 225L
Day 2 = 225L
Day 3 = 225L
Day 4 = 225L

QUESTION 2:
1min = 750 feet
2mins = 1500 feet
3mins = 2250 feet
4mins = 3000 feet

Convert to - 5/8 to its decimal form using long division. If your answer is a repeating decimal, make sure your decimal goes 5 place values after the decimal or the sequence of numbers that repeat if it is more that five decimal places after the decimal. *

Answers

Answer: 5/8 as a decimal is expressed as 0.625.

Hope it helps!

If Sergio does a job in 11 hours and with the help of Chloe they can do it together in 5 hours, how long would it take Chloe to do it alone?

Answers

Answer:

6 hours

Step-by-step explanation:

11 minus 5 is 6 hours.

Answer:

Here’s your answer!

Step-by-step explanation:

Division problem: 2.2 hours ( 11 divided by 5)

Subtraction problem: 6 hours ( 11 - 5)

Hope this helped

Plz mark Brainliest

Dont forget to smash that heart at the bottom <3

Have a great day!

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