A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision. True or False: If the level of significance had been chosen as 0.05, the company would market the new anesthetic.

Answers

Answer 1

Testing the hypothesis using the z-distribution, it is found that the statement is False.

At the null hypothesis, we test if the mean is still of 7.4 minutes, that is:

[tex]H_0: \mu = 7.4[/tex]

At the alternative hypothesis, we test if the mean is of less than 7.4 minutes, that is:

[tex]H_1: \mu < 7.4[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are as follows: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]

[tex]z = -1.5[/tex]

The p-value of the test is the probability of finding a sample mean of 7.1 or lower, which is the p-value of z = -1.5.

Looking at the z-table, z = -1.5 has a p-value of 0.0668.

Since the p-value of the test is 0.0668 > 0.05, there is not enough evidence to conclude that the time is lower, hence the statement is False.

A similar problem is given at https://brainly.com/question/16695704


Related Questions

A friend says that his grade on the test is 5 points lower than your grade. If your
grade is represented by x, how can you represent his grade? Should you use x - 5
-
or 5 - x?
renresent you

Answers

Answer:

x-5.

Step-by-step explanation:

If you did it the other way that would be like saying 5 minus your grade. That would be in the negatives unless you got a 5 or below on your grade. :)

Answer:

x-5

Step-by-step explanation:

The other way makes no sense saying 5 minus your grade I hope this helps and it's 5 less than your grade so your grade minus 5 ewuals your answer

(REAL ANSWERS PLEASE)


х
у
4
-2
2
-1
0
o
-2
1
-4
2
Without graphing, what is the y-intercept of this function?
es )
A)
(0,0)
B)
(-2, 1)
(2, -1)
D
(4, -2)

Answers

Answer:

4 better explanation

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

(2,-1)

Please take a look at the picture

Answers

Answer:

B) -3/10 x -6

Step-by-step explanation:

-3/10 x -6=-3 x -6/10

When multiplying two negatives you get a positive.

Hope this helps :)

Solve equation by applying the distributive property to simplify both sides of the equation if needed

4(w-9)=w+9

Answers

Answer:

w=15

Step-by-step explanation:

4w-36=w+9

3w=45

w=15

Answer:

15

Step-by-step explanation:

The distributive property applies to the expression on the left hand side. It means that the multiplication of 4 is distributed to all the terms in the brackets.

[tex]4(w-9) = w + 9\\4w-36 = w + 9\\4w-w = 9 + 36\\3w = 45\\w = 15[/tex]

The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
coffee in the morning. How long will it take for only 60% of the caffeine to remain in his body?

Answers

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

https://brainly.com/question/19599469

plsssss helpppppp i’ll give brainliest

Answers

Answer:

[tex]-6\leq x\leq 6[/tex]

Step-by-step explanation:

This is answer for the last question.

Solve for z.
57 = –10z +7

Answers

Answer:

z = -5

Step-by-step explanation:

Hi there!

We are given the equation 57 = -10z + 7, and we want to solve for z

In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.

So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:

57 = -10z + 7

-7             -7

_____________

50 = -10z

Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10

If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10

[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]

Divide, and cancel:

The zeros cancel out, leaving the equation as:

[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]

Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number

So 5/-1 will become -5, while -1z/-1 will become 1z, or z

Hence:

-5 = z, or written the other way: z = -5

We found z.

Hope this helps!

henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet

Answers

This question is basically asking for the area of the tablecloth. Remember that A = l • w.

12 • 7 = 84

So, Henry will need to buy 84 ft^2 of fabric.

What is 60 percent of 92?
1.53
5.52
15.3
55.2

Answers

Answer:

[Fourth Option] 55.2

Step-by-step explanation:

60% -> 0.6

0.6 * 92 = 55.2

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

(D) 55.2

Step-by-step explanation:

Can someone pls help me!!! I really need it pls :)

Answers

Answer:

Mean x¯ 8.3333333333333

Median x˜ 9

Mode 9

Step-by-step explanation: if 8.3 dosent work just round it

helpppp pleaseeeee✋​

Answers

Answer:

5 x 3 = 15 / 4 x 8 = 32 / 6 x 1.5 = 9

Step-by-step explanation:

Answer:3,8,3/2

Step-by-step explanation:

1) 5*x=15

X=15/5=3

2) 4*x=32

X=32/4=8

3)

6*x=9

X=9/6=3/2

someone help me i really need it!


NO BOTS

Answers

Answer:

11

Step-by-step explanation:

the first 2 before it splits to 30mins is 9 and 2 so the answer by addition is 11 hope this helps

e^(i.π)+2^(-2+3-1)+21899921030

Answers

Answer:

21899921030

Step-by-step explanation:

e^(i.π) = -1

2^(-2+3-1) = 2^0 = 1

Therefor

-1 + 1 + 21899921030 = 21899921030

Which algebraic expression is equivalent to this expression?
6(22 - 12) + 63
Help me please!!

Answers

The numerical value of this algebraic expression is 123

Step-by-step explanation:

To solve this algebraic expression, we're going to subtract the numbers indicated in parentheses, and finally, we're going to multiply and add the numbers.

Resolution:

[tex]\large \sf =6(22 - 12) + 63[/tex]

[tex]\large \sf =6(10) + 63[/tex]

[tex]\large \sf =60 + 63[/tex]

[tex]\boxed{\boxed{{\large \sf 123}}}[/tex]

Therefore, we can conclude that the numeric value of this expression will be 123

Pls answer will give brainiest

Answers

Answer:

D. is your answer

PLEASE HELPPP!! I need help with both questions

Answers

9514 1404 393

Answer:

borrow: $21,056.60interest: $1,983.40

Step-by-step explanation:

The relation between the monthly payment (A) and the principal borrowed (P) is ...

  A = P(r/12)/(1 -(1 +r/12)^-n)

where the annual interest rate is r and n is the number of monthly payments.

Then the principal P can be found as ...

  P = $384(12/0.036)(1 -(1 +0.036/12)^-60) ≈ $21,056.60 . . . loan amount

The sum of payments is ...

  $384 × 60 = $23,040.

The difference between the payments made and the loan principal amount is the interest paid:

  $23,040.00 -21,056.60 = $1,983.40 . . . total interest

30/80=e/40 what is the answer?

Answers

Answer:

15

Step-by-step explanation:

31,807 = 81 =
Remainder:

Answers

Answer:

Answer: (31807/81) ÷ 2 = 196.339506173

Step-by-step explanation:

Math answers to division of fraction 31807/81

31807 81 = 392.679012346

392.679012346 = 3926.79012346 to the nearest tenth

392.679012346 = 392.68 to the nearest hundredth

392.679012346 = 392.679 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

31807 divide by half plus 20

Homework answers: (31807/2) + 20 = 15923.5

31807 divide by half plus 40

Homework answers: (31807/2) + 40 = 15943.5

31807/81 divided by 2

Answer: (31807/81) ÷ 2 = 196.339506173

Paul received a bonus of $750, which was 5% of his annual salary. His annual salary is a. A$37,500 b. $25,000 c. $22,500 d. $15,000 e. $7,500

Answers

A is the correct answer

what is the awnser to this question (w2x−3)÷10·z when w=−4, x = 0.8, and z=−45

k12

Answers

42.3
(-4x2x0.8-3)=-9.4
-9.4/10=-0.94
-0.94x-45=42.3

Could I get help on this?

Answers

Answer:

returning the collateral

At Cheng's Bike Rentals, it costs $24 to rent a bike for 5 hours. How many dollars does it cost per hour of bike use?

Answers

Answer: $4.80

Step-by-step explanation:

24/5 = 4.8

$4.80

Tamara bought a $22 mailbox using a 10% off coupon David bought an identical mailbox for $19.95 at a different store
Which statement is true?

Answers

Answer:David bought an identical mailbox for $ 19.95 at a different store.

Step-by-step explanation:

David bought an identical mailbox for $ 19.95 at a different store. you can buy a same mailbox but for different prices you have 22 dollars you have a 110 percent off you dont have enough

A box contains orange balls and green balls. The number of green balls is seven more than three times the number of orange balls. If there are 103 balls altogether, then how many green balls and how many orange balls are there in the box?

Answers

Answer:

Step-by-step explanation:

x = orange ball count

y = green ball count

y = 3x + 7

x + (3x + 7) = 103

4x = 96

x = 24 orange balls

y = 103 - 24 = 79 green balls

or

y = 3(24) + 7 = 79

Answer:

52 green, 15 orange!

Step-by-step explanation:

take reference from the following image:

NOT SURE HELPP... it's a khan academy question

Answers

Answer:

36.87

Step-by-step explanation:

Sine rules says:

. sin x = opposite / hypotenuse

We just substitute in the values

. sin x = 3 / 5

. sin x = 0.6

Now we use sin inverse to find the value of the angle

. x = sin^-1(0.6) = 36.87

[tex]\sin \angle A = \dfrac{3}{5} \\\\\implies \angle A = \sin^{-1} \left( \dfrac 35 \right) = 36.87^{\circ}[/tex]

PLS ANSWER FAST!!

Write an equation of the line with a slope of 3 and a y-intercept of -7 .

Answers

Answer:

y = 3x - 7

Step-by-step explanation:

For an equation in the format y = ax + b, a is the slope and b is the y intercept.

Please help! (Urgent)
Only answer if correct.

I will be asking more so stay tuned.

Answers

Answer:

Number of rotations: 5

Slope: 1/2

Step-by-step explanation:

Answer: why did you ask twice for the same problem

Step-by-step explanation:

Please look the image attached

Answers

Answer:

I think it is c

Step-by-step explanation:

I might be wrong wait for a second answer if it is the same then I think I am right

addison had 560 blue marbles and 279 red marbes . How many fewer red marbles does she have then blue

Answers

Answer:

281

Step-by-step explanation:

9514 1404 393

Answer:

  281

Step-by-step explanation:

The difference between the numbers of marbles is found by subtraction.

  560 -279 = 281

Addison has 281 fewer red marbles than blue.

Write the equation of the line that passes through the point (-3, 1) and is perpendicular
3
to a line whose slope is 2

Answers

y = -2x - 5 is the answer; hope this helps
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