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

I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on

Answers

Hi there!

What we need to know:

The three main trigonometric ratios are sine, cosine and tangent:

[tex]\displaystyle sin\theta=\frac{opposite}{hypotenuse}[/tex]     [tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]    [tex]\displaystyle tan\theta=\frac{opposite}{adjacent}[/tex]

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information:

[tex]\displaystyle cos56=\frac{a}{13}[/tex]

Isolate a by multiplying both sides by 13:

[tex]13\displaystyle cos56=a[/tex]

Solve using a calculator:

[tex]a=7.3[/tex]

Therefore, a is equal to 7.3 when rounded to 1 decimal place.

Other information you will need to know:

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

[tex]\displaystyle sin\theta=\frac{5}{8}[/tex]

In this case, we will use the inverse sine ratio:

[tex]\displaystyle \theta=sin^-^1(\frac{5}{8})[/tex]

Solve using a calculator:

[tex]\displaystyle \theta=39[/tex]

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

i have glass in my hand 4 months after a car accident what should i do just continue to wait for it to come out?

Answers

Answer:

hello! im taking medical school rn to be a paramedic and what i would do is either get a pair of tweezers and get it out or go to your local hospital to get it quickly removed!

Step-by-step explanation:

No you should make sure it’s not infected and put some rubbing alcohol or some infection stuff on it then you should call the doctor.

4) f(m)= 4(m + 2) – 3

Answers

Answer:

STEP

1

:

Equation at the end of step 1

fm - (4 • (m + 2) - 3) = 0

STEP

2

:

Equation at the end of step 2

fm - 4m - 5 = 0

3 In which of these pairs of numbers would both numbers round to 6.23 ? F 6.232 and 6.236 G 6.231 and 6.233 H 6.229 and 6.239 J 6.222 and 6.238 GO ​

Answers

9514 1404 393

Answer:

  G 6.231 and 6.233

Step-by-step explanation:

F 6.232 and 6.236 rounds to 6.23, 6.24

G 6.231 and 6.233 rounds to 6.23, 6.23

H 6.229 and 6.239 rounds to 6.23, 6.24

J 6.222 and 6.238 rounds to 6.22, 6.24

_____

One way to determine the rounded value is to add 0.005 to the number, then drop all digits to the right of the hundredths place.

Examples:

  6.222 +0.005 = 6.227 ⇒ 6.22

  6.238 +0.005 = 6.243 ⇒ 6.24

Which expression is equivalent to 0.7 x 0.23?
OA (7x is) (23 x 1.)
ов.
(7x 10 ) x (23 ×
100
O C.
c. (71) * (23 x *)
O D.
D. (7* *) * (23 x )
What is it

Answers

(7 × 10⁻¹) × (23 × 10⁻²)

Step-by-step explanation:

0.7 × 0.23

= (7 × 10⁻¹) × (23 × 10⁻²)

A bag contains 6 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be red?

Answers

Answer:

20 marbles total...7 are green

Step-by-step explanation:

probability on first draw is 7/20...and since the marble was not replaced, the probability on the second draw is 6/19. And since they cant happen at the same time, we multiply

7/20 * 6/19 = 42/380 which reduces to 21/190

When you divide a whole number by a decimal less than 1,
the quotient is greater than the whole number. Why? tar

Answers

9514 1404 393

Explanation:

We assume all the numbers considered here are positive.

Dividing by a number is the same as multiplying by its reciprocal. A fraction less than 1 can be represented as the ratio m/n, where m < n. The reciprocal of this fraction is n/m, where n > m. That is, the reciprocal of a fraction less than 1 is a number greater than 1.

When you divide by a number less than 1, you effectively multiply by a number greater than 1. That is why the quotient is greater than the original dividend.

At the begining of last year, there were 368 students at the elementary school.By the beginning of this year,72 of those students had moved.About how many students started the school this year?

Answers

Answer:

296

Step-by-step explanation:

368-72

You subtract in order to find out how many students started the school this year

................................................................................................
................................................

Answers

?????????????????????

Answer:

UMMMMMMMM>....<

Step-by-step explanation:

side length of a cube with a volume of 614cm

Answers

Answer:

just get the cube root of 614

HELP LAST ATTEMPT !?!!!!!

Answers

Answer:

x=31

Step-by-step explanation:

2x+1=63 [Vertically opposite angles]

2x=63-1

x=62/2

x=31

Lara is creating potpourri bowls using 4 bags of shredded bark and 10 bags of flower petals.
If she wants to make all the potpourri bowls identical, containing the same number of bags of
shredded bark and the same number of bags of flower petals, what is the greatest number of
potpourri bowls Lara can create?

Answers

Answer:

2

Step-by-step explanation:

16: 16, 8,4,2,1

10: 10,5,2,1

The GCF is 2 because 16 bags of shredded bark can be split with 8 bags of shredded bark, and 10 bags of flower petals could be split to 2 bowls with 5 bags each.

How many groups of 3/4 are in 4 1/2

Answers

Answer:

5 1/2

Step-by-step explanation:

3/4+3/4+3/4+3/4+3/4+1/2= 4.25

4.25 = 4 1/2

The number of 3/4 groups is 6.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total amount = 4(1/2) = 9/2

The number of groups.

= 9/2 ÷ 3/4

= 9/2 x 4/3

= 6

Thus,

There are 6 groups of 3/4.

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Multiply
8.12.30.3

Please help me

Answers

Answer:

8640

Step-by-step explanation:

What is the value of the expression 4(80+ b) – 12, where b = 20?
-
328
3.352
c388
D. 412


Answers

4(80+b)-12 b=20= 4(80+20)-12= 4(100)-12= 400-12= 388option c is the right answer

please mark this answer as brainlist

Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounces of milk does Monica use?
(A) 0.5 fluid oz.
(B) 1 fluid oz.
(C) 1.5 fluid oz.
(D) 3 fluid oz.
(Also no fractions included and please help meh know please)

Answers

Answer:

b b b b b b b b b b b b b b b b b b b b b b

6g = -86; g= -16
Need help

Answers

Answer:

6g = -86

Divide each term in 6 g = − 86 by 6 and simplify.

Exact Form: g = -43/3

Decimal Form: g = −14.¯3

Mixed Number Form:

g = −14 1/3

—————————————————————

g= -16

Vertical line at x = −16

How do u write 6000 in standard form

Answers

Answer:

6× 10^3 is the standard form of 6000

Answer:

I write 6000 , Six thousand in standard form.

he owner of a coffee shop collected receipts from all orders placed during a one-hour period. For each receipt, the owner recorded the payment method used and if the receipt was $25 or less or more than $25. The following table shows the requencies of the results.
Payment
Cash Credit/Debit Phone App Total Receipt of $25 or less 15 25 17
Receipt of more than $25 23 37 28
Total 145
What is the probability that a receipt that is to be selected at random from those collected during the one-hour period was
paid using a phone app, given that the receipt totaled more than $25?
Enter your answer as a value between 0 and 1 rounded to two decimal places. Points A,

Answers

Answer:

56

Step-by-step explanation:

The probability of selecting a receipt of more than $25 is 0.33.

What is a probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

For the given situation,

The amount on receipts in $, S= { 15,25,17,23,37,28 }

⇒ [tex]n(s) = 6[/tex]

The amounts are grouped as more than $25 and less than $25.

The event is the amount on receipt more than $25, [tex]e = (28,37)[/tex]

⇒ [tex]n(e)=2[/tex]

The formula to find the probability of an event,

[tex]P(e)=\frac{n(e)}{n(s)}[/tex]

⇒ [tex]P(e)= \frac{2}{6}[/tex]

⇒ [tex]P(e)=\frac{1}{3}[/tex]

⇒ [tex]P(e)=0.33[/tex]

Hence we can conclude that the probability of selecting the receipt of more than $25 is 0.33.

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What usually happens to main characters by the end of the story?
A. They fall in love.
B. They are defeated by the antagonist.
C. They grow, change, or learn an important lesson.
D. They find treasure beyond their wildest dreams.

Answers

Here's your answer:

C. They grow, change, or learn an important lesson

You get this answer because the MC (Main Character) goes on a journey or adventure to seek something and they will learn new things on their way and grow up from who they used to be.

I hope this helps you out! ^-^

Yyyyyyyyyyyyyyabcdhds

102÷6 what is the Anser

Answers

Answer:

17 good luck

Step-by-step explanation:

the answer is 17

102/6= 17

Answer:

17

Step-by-step explanation:

it just is

hope this helps, I am writing because I need words


The box-and-whisker plot represents the number of tickets
sold for each show of a musical in the first month.
Ticket Sales for Musical
100 120 140 160 180 200 220 240
what is the range?

Answers

Answer:

345

Step-by-step explanation:

Suppose f(x) = x ^ 3 Find the graph of f(x + 3) Click on the correct answer

Answers

Answer:

f(x)=(x+3)^3, horizontal translation/shift of 3 units to the left.

Step-by-step explanation:

f(x)=x^3 is your given function. f(x+3) is a horizontal shift of 3 units to the left because the "+3" is inside the parentheses and it's a shift to the left instead of the right because x needs to equal -3 for the quantity to equal 0. Overall, the graph shifts 3 units to the left.

the temperature changed from 5 degrees Celsius 6pm to -2 degrees Celsius at midnight. How much did the temperature decrease?

Answers

7 degrees Celsius because to go from 5 to -2 you would subtract 7 so it’s 7.

What is the value of x in the equation ? (In the picture I included)

Answers

Answer:

X = 8⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

Step-by-step explanation:

[tex]13x-\dfrac{1}{2}(4x + 50) = 8x - 1\\\\13x -\dfrac{1}{2}*4x - \dfrac{1}{2}*50 = 8x - 1[/tex]

13x  - 2x  - 25 = 8x - 1

11x - 25 = 8x - 1

11x = 8x - 1 + 25

11x = 8x + 24

11x- 8x = 24

3x = 24

x = 24/3

x = 8

Evaluate the expression.
2
-3(–15 – 2 (-9))
-
What is the value of the expression?
Enter your answer in the box.

Answers

Answer:

9

Step-by-step explanation:

-3(-15-2(-9))^2

=-3(-15+15)^2

=-3^2

=9

sorry, it just seems easy for me.

but tell me if you need more profound explanations. <:D

the pic is for a other question:

-3(-15-2(-9))²= -3(-15+18)²= -3(3)²= -3×9= -27

please mark this answer as brainlist

Whoever answers I’ll mark brainliest

Answers

Answer:

SAS Postulate

Two sides and the included angle of one triangle are congruent to two sides and the included angle in a second triangle, then the two triangles are congruent.

3 friends split the cost of renting a boat. Each person rented a life preserver. The cost of the boat was $120. The total cost for the boat and life preservers was $135 write and solve an equation to find the cost of the life preservers

Answers

Answer:

$5

Step-by-step explanation:

$135-$120=15

15 divided by the amount of people, which is 3, equals $5. It costs $5 for a life preserver.

What is the distance between the points (22, 13) and (4, 13) in the coordinate plane?
A.
26 units
B.
18 units
C.
19 units
D.
9 units

Answers

Answer:

18 units

Step-by-step explanation:

You don't need to use slope since both are using 13 for y.

22 - 4 (both x values) = 18

B. 18 units

maths is not my thing ​

Answers

Answer:

If you are looking for the number of faces/sides….

Step-by-step explanation:

1:6

2: 5

3: 8

4:5

5:5

6:5

Hope this helps

Dont forget to smash that heart at the bottom <3

Have a great day,you’re amazing !

Plz Mark Brainliest

Lmk if its right I’m not sure whether number 2 is 4 or 5

I haven’t done shapes in a while .-.

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