The FDA is testing a new ointment designed to deliver 3.5 micrograms of active ingredient to each square centimeter of skin. Nine(9) subjects apply the ointment and then six hours later that amount of drug absorbed by the skin is measured. To determine if there is enough evidence that the mean amount of drug absorbed is different from 3.5 micrograms at the α=0.01 significance level, we would need to compare our test statistic to what critical

Answers

Answer 1

Answer:

t(c)  =  3.355

Step-by-step explanation:

We assume a normal distribution, and with sample size n = 9 we should follow a t -student test on both tails since the FDA is interested in determining if the amount of drug absorbed is different from 3.5 micrograms.

Therefore if α  = 0,01    that means that confidence interval is 99 % or 0,99

Finally with   α/2 = 0,005   and 8 degrees of freedom we find in t-student table  t(c)  =  3.355


Related Questions

A group of New York City residents are surveyed about their marital status. Of the people surveyed, 160 men and 146 women are married, while 90 men and 54 women are single. Place each joint and marginal relative frequency in the correct location in the two-way table.

Answers

Answer:

Step-by-step explanation:

same

The solutions to the system is

Answers

What do you mean by the solution to the system?

IM just a little bit slow

Answers

Answer:

71°

Step-by-step explanation:

31-3x+19x-5=90

16x=90-26

16x=64

x=4

m<R=19x-5 = 19(4)-5 = 76-5 = 71

Answer:

x = 4

∠R = 71°

Step-by-step explanation:

COMPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 90°.

[tex]31 - 3x + 19x - 5 = 90[/tex]

To make this problem easier to solve, we can combine like terms.

[tex]26 + 16x = 90.[/tex]

Now, we can proceed.

First, subtract 26 from 26 and 90.

[tex]26 - 26 = 0.[/tex] (cancels itself out).

[tex]90 - 26 = 64.\\[/tex]

Now, we are left with 16x = 64.

Lastly, we divide the number in front of the variable by the answer.

[tex]64/16 = 4[/tex]

Therefore, the value of x is 4.

-------------------------------------------------------------------------------------------------------------

Now that we have the value of x, we can use this value to replace the variable (x).

[tex]19x - 5[/tex]

[tex]19 * 4 - 5 = 71.[/tex]

Therefore, the value of ∠R is 71°.

Frosting Mountain cupcake shop is running low on vanilla. They have 2 cups of vanilla left and each batch of cupcakes needs 1 4 of a cup. How many batches of cupcakes can they make before they run out of vanilla?

Answers

Answer:0.143

Step-by-step explanation:

Helen rented a kayak at the lake there is a charge of $6 as an initial fee and then $3 an hour for every hour that she uses the kayak if the total charge is $21 how many hours did she kayak

Answers

Answer:

Helen kayaked for five hours.

Step-by-step explanation: First subtract the initial fee ($6.00) from the total charge ($21), $21 - $6 = $15. Now, divide the $15 she was charged for kayaking by $3 (because it costs 3 bucks an hour to kayak plus the 6 buck initial fee.) 15 divided by 3 = 5. So she kayaked for 5 hours.

What is the correct way to read 309.48

Answers

Three hundred and nine point four eight.

Answer:

three hundreds, nine ones. four tenths, eight hundredths

Step-by-step explanation:

the numbers are placed in certain spots from the decimal point that helps you decide which way to read the place

Find the volume of the pyramid.

Answers

The volume of the pyramid is 448m^3

(16)(12)(7)/3

= 1334/3
= 448

math question????????

Answers

Answer:

Answer C

Step-by-step explanation:

Answer:

answer c

Step-by-step explanation:

trust me

The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related. Develop a 90% confidence interval for the population proportion of all such firms with this as the primary motivation. (2 points) (Answers should be in percentage form. Round answers to 2 decimal places)

Answers

Answer:

The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related.

This means that [tex]n = 200, \pi = \frac{150}{200} = 0.75[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.}{2} = 0.975[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.6996[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.8004[/tex]

As percent:

0.6996*100% = 69.96%

0.8004*100% = 80.04%.

The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).

The summer in Maine is hot and sunny. identify the negation of the given proposition.Multiple ChoiceThe summer in Maine is hot but not sunny.It is not the case that the summer in Maine is not hot or it is not sunny.The summer in Maine is either not hot or it is not sunny.The summer in Maine is not hot but sunny.

Answers

Answer:

The summer in Maine is either not hot or it is not sunny.

Step-by-step explanation:

Suppose we have two events, A and B.

The negation of A and B is not A or not B.

The summer in Maine is hot and sunny.

Negation of hot an sunny is not hot or not sunny, so the correct option is:

The summer in Maine is either not hot or it is not sunny.

Help me plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

the answer is d.

Step-by-step explanation:

Just plug each value in the x column into the dependent variable equation and see if the dependent variable value is true.

find 3/5% of $90,000

Answers

3/5% = 60% or 0.6

to find a percentage of something, you multiply the percentage and the number, so
60% x 90000 = 54,000

Find the nth term of this number sequence
1

Answers

Answer:

10

Step-by-step explanation:

hdgjjgggughggugfcghfxxgh

The nth term in an arithmetic sequence is given by n = a + (n - 1) * d, where a is the first term in the sequence, and d is the common difference, given by the expression 2nd term - 1st term = 3rd term - 2nd term = nth term - (n - 1)th term.

So,

n = 1 + (n - 1) * (7 - 1)

n = 1 + (n - 1) * 6

n = 1 + 6n - 6

Take like terms,

n - 6n = 1 - 6

-5n = -5

n = 1,

So the nth term is equal to 1

Please answer this ASAP. I really need it and please explain your answer
No links please

Answers

Answer:

31 square units

Step-by-step explanation:

The 4 sectors to be cut out are 4 quarters of a circle = 1 full circle

Length of square = 12 units

The radius (r) of the circle = ½ of the length of the square = ½(12) = 6 units

Area of the shaded region = area of the square - area of the circle/4 sectors)

= s² - πr²

s = 12 units

r = 6 units

Plug in the values

Area of the shaded region = 12² - π*6²

= 144 - 113.1

≈ 31 square units (nearest square units)

30 points!!!!!! please help quick!!!!

Answers

Answer:

Attachment: 1 Image

Step-by-step explanation:

The answer is B I think

The first term of a linear sequence is 3 and the 18th term is 31. Find the common difference

Answers

Answer:

i dont know sorry

Step-by-step explanation:

How many solutions does the equation y + 3y - 6 = -2 + 4y + 4 have?

A. One solution
B. no solution
C. infinite solutions

Answers

[tex]\huge{ \mathrm{ \underline{question : }}}[/tex]

How many solutions does the equation have ?

y + 3y - 6 = -2 + 4y + 4

[tex]\huge{ \mathcal{ \underline{ Answer \: \: ✓ }}}[/tex]

The given equation has

[tex] \\ \\ \\ \\ \\[/tex]

B. [tex]\boxed{No \: \: solution}[/tex]

[tex]\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\[/tex]

[tex]\#TeeNForeveR[/tex]

Find the derivative of y=2x^2-3x+1 and the slope of the curve at the point where x=3

Answers

The slope of the tangent line to y(x) at any given x is equal to the derivative dy/dx at that point. Differentiate to get

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{4x-3}[/tex]

and evaluate it at x = 3 to get the slope, 4•3 - 3 = 9.

A group of students are surveyed about which movie they prefer.
movie a :14
movie b : 9
movie c : 5
movie d : 3

What is the probability that a student prefers Movie A?

Answers

Needs more data. Is there more to the problem?

A family on vacation drove a total round-trip distance of 735.75 miles. They traveled
for 7 hours in one direction and 6.5 hours on the return trip. What was their average
speed for the entire trip?

Answers

Answer:

speed = 54.5 miles/hr

Step-by-step explanation:

speed = distance/time

distaance = 735.75

time = 7 + 6.5 = 13.5

speed = 735.75 / 13.5

speed = 54.5 miles/hr

Aliyah had $54 to spend on 5 bracelets. After buying them she had $4. How much did each bracelet cost? Each bracelet costs Question Blank type your answer... dollars.

Answers

$10 for each bracelet , 10x5 = 50 , 4 left over

Solve for c.
a(c+b) = d

Answers

Answer:

c = (d/a) - b

Step-by-step explanation:

a(c + b) = d

Divide both sides by a

c + b = d/a

subtract b from both sides

c = (d/a) - b

Which expression has a value of 7/12?
1. 2 1/12 + 5 1/12
2. 6/8 + 1/4
3. 1/3 + 1/4
4. 7/8 + 4

Answers

Answer: 3. 1/3 + 1/4

Step-by-step explanation:

1/3 = 4/12

1/4 = 3/12

4/12 + 3/12 = 7/12

in the figure below lines p and q are parallel

Answers

Answer:

<5 and <8 are vertical angles

so, their measures are congruent

Step-by-step explanation:

\sqrt[4]{2}=2^{\frac{1}{4}}

Answers

Answer:

[tex] \sqrt[4]{2} = 2 ^{ \frac{1}{4} } = 1.189207[/tex]

Answer:

True: Both sides are equal

Step-by-step explanation:

1. [tex]\sqrt[4]{2}=2^{\frac{1}{4}}[/tex]  

2. [tex]2^\frac{1}{4}=2^\frac{1}{4}[/tex]

3. [tex]\frac{1}{4} = \frac{1}{4}[/tex]  

They are Equal, So it true

So there are infinitely many solutions.

What is the coefficient in this equation? 140 - 6 = 28

Answers

Answer:

There is none there is no variable.

Step-by-step explanation:

Hope this helps!!

Answer:

there is no co efficient a co efficient is the constant before the variable when its attached.

Show how you use the additive inverse to solve the following.
1. 8-9= 8 + (-9) =
2. +5 - (+14) =
4. -10 - (-9) =
3. -23 - (+10)-(-4) =
6. 16 - (+16) =
5. (+17)-(-20) -(+12) =
8. 5-(+7) -(-8)-3-(-6) =
7. - 200-(-120) -- 25 =
10.-18+ (-22) - (-31) =
9. 53-(-17) + (-6) =​

Answers

Answer:

1.8-9=8+(-9)=?

2.+5-(14)= -9

3. -10-(-9)= -1

6.16-(+16)= 0

5.(+17)-(-20)-(12)= 25

8.5-(+7)-(-8)-3-(6)=9

7.-200-(-120)-25=105

10.-18+(-22)-(-31)=9

9.53-(-17)+(-6)=64

that's my answer

Which of the following coordinates is located in Quadrant I?

(-3,-4)
(-1,2)
(4,6)
O
(2,-1)

Answers

Answer:

(4,6)

Step-by-step explanation:

quadrant 1 always has positive coordinates so the only one with all positive coordinates is (4,6)

if 3/5 of a number is 2 more than 2/3 of the same number, then what is the value if the square of the number

Answers

9514 1404 393

Answer:

  900

Step-by-step explanation:

Let x represent the number. The given relationship is ...

  (3/5)x = 2 +(2/3)x

  -2 = 1/15x . . . . . . . . subtract 2+3/5x from both sides

  -30 = x . . . . . . . . . . multiply by 15

Then the square of the number is ...

  x² = (-30)² = 900

PLEASE ANSWER!!! Express tan R as a fraction in simplest terms.

Answers

Answer:

tan R = 9/19

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

The value of the trigonometric relation tan R = 9/19

What are trigonometric relations?

Trigonometry is the study of the correlations between triangle angles and side lengths.

Sine, cosine, tangent, cosecant, sec, and cotone are the six trigonometric functions.

Let the angle be such that sin = opposed to the hypotenuse, cos = next to the hypotenuse, and tan = opposite to the adjacent. Cosec = 1/sin, sec = 1/cos, cot = 1/tan.

Given the data,

Let the triangle be denoted by the symbol RST.

Now, the triangle's other side ST equals nine units.

The triangle's base, RS, is equal to 19 units.

Moreover, the trigonometric relationship is tan R, where R has a value of

The result of substituting the values in the equation is

According to the trigonometric relationship, tan equals opposite or adjacent.

Tan R = ST / RS is the result of simplifying the equation.

tan R = 9 / 19

The trigonometric relationship is therefore tan R = 9/19.

Go here to find out more about trigonometric relationships.

https://brainly.com/question/14746686

#SPJ2

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