Construct a 98% confidence interval to determine whether there is any difference between the mean drug concentration in tablets produced at the two sites. Now analyze the data using a statistical test of hypothesis that the two means are different. Do the inferences drawn from the test of hypothesis and confidence interval agree

Answers

Answer 1

Answer:

Step-by-step explanation:

So, we are given two sites;

Site one: 91.28 , 92.83, 89.35, 91.90 82.85, 94.83, 89.83, 89.00, 84.62, 86.96, 88.32, 91.17, 83.86, 89.74, 92.24, 92.59, 84.21, 89.36, 90.96, 92.85, 89.39, 89.82, 89.91, 92.16, 88.67.

=> The mean = add up all the numbers/ the total numbers (which is 25). = 89.55.

=> The standard deviation = 3.005

SITE TWO: 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20 93.44 86.77 83.77 93.19 81.79.

=> The mean= add up all the numbers/ the total numbers (which is 25). = 89.033.

=> Standard deviation = 3.271.

NB: the assumption here is that the variance for both sites are the same.

STEP ONE: DETERMINE THE DEGREE OF FREEDOM AND THE CRITICAL VALUE.

The degree of freedom =( mean of site 1 ) + (mean of site 2) - 2 = (25 + 25) − 2 = 48.

Since the degree of freedom is 48, Recall that the value for alpha given = 0.02. Then, the critical value = 2.407.

STEP TWO: DETERMINE THE STANDARD DEVIATION AND THE STANDARD ERROR FOR BOTH.

Therefore, the standard deviation = √[( 25 - 1) × 3.005^2 + (25 -1) × 3.271^2) ÷ (25 +25 - 2) ] = 3.14.

Also, the standard error = standard deviation × ( √(1/ mean 1 + 1/mean 2) ..

Standard error = 3.14 × [ ✓( 1/25 + 1/25)] = 0.89.

STEP THREE: DETERMINE THE CONFIDENCE INTERVAL.

confidence interval = (89.548 - 89.033 - 2.41 × 0.89, 89.548 - 89.033 + 2.41 × 0.89) = (- 1.62, 2.65).

STEP FOUR: THE HYPOTHESES.

=> THE TWO TAILED TEST.

Jo:μ1​ = μ2​.

Ja: μ1​ ≠ μ2​.

Thus, the rejected region is {t : ∣ t ∣ > 2.7}

As critical value = 2.7 for the degree of freedom which is 48 and α=0.01.

If we do the t - test for this,.we will have;

(89.548 - 89.003)÷ ( standard deviation × √ ( 1/25 + 1/25). = 0.58.

So,from our t - value, is less or equals to the critical value, therefore, the null hypothesis is not rejected.

Also, from the p-value table which gives p=0.565. The p- value is greater than or equal to the alpha value(0.01). therefore, the null hypothesis is not rejected.

We are not going to reject the null hypothesis because the information gathered is not enough.


Related Questions

find the missing value of 6/9 = m/6​

Answers

Answer: 4

Step-by-step explanation:

6/9 = m/6  We can multiply both sides of the equation by 6 to solve for m

so we get 36/9 = m. m = 4

If the x-values of the table shown above are doubled and the y-values stay the same, it represents the function g(x). Construct the equation for g(x)

Answers

Answer:

The maximum value of the table t(x) has a greater maximum value that the graph g(x)

Step-by-step explanation:

Hope this helps :P

Can x-2 be simplified more? Why?

Answers

Answer:

No:

Step-by-step explanation:

No, there is no way to further simplify this equation, unless there is a value for x.

Answer:

No. x-2 can't.

Step-by-step explanation:

Its the same reason why you can't simplify 1+1. You could add them together, but in a case like this, where one number is unknown you can't. The number is already to its simplifiest form.

Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value t∗t∗ for the given sample size and confidence level. Round critical t values to 3 decimal places.Sample size, n Confidence level Degree of Freedom Critical value, t∗t∗5 90 13 95 22 98 15 99

Answers

Answer and Step-by-step explanation: The critical value for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.

Each sample has a different degree of freedom and critical value.

To determine critical value:

1) Calculate degree of freedom: df = n - 1

2) Subtract the level per 100%;

3) Divide the result by 2 tails;

4) Use calculator or table to find the critical value t*;

For n = 5 Level = 90%:

df = 4

t = [tex]\frac{1-0.9}{2}[/tex] = 0.05

Using t-table:

t* = 2.132

n = 13 Level = 95%:

df = 12

t = [tex]\frac{1-0.95}{2}[/tex] = 0.025

Then:

t* = 2.160

n = 22 Level = 98%

df = 21

t = [tex]\frac{1-0.98}{2}[/tex] = 0.01

t* = 2.819

n = 15 Level = 99%

df = 14

t = [tex]\frac{1-0.99}{2}[/tex] = 0.005

t* = 2.977

The critical values and degree of freedom are:

sample size          level           df              critical value

     5                      90%           4                   2.132

   13                       95%            12                 2.160

   22                      98%            21                 2.819

   15                       99%            14                 2.977

A student finds a positive correlation between the number of beds in a home and the number of plates in the kitchen.

Which variable is most likely the lurking variable that explains the correlation?




A: height of tallest person in the home

B: age of oldest person in the home

C: number of children in the home

D: number of pets in the home

im not doing great in math and i really need some help with this

Answers

C. The number of people in the home. This is because the more people in the house, more people are eating and using plates and there are going to be more beds for everyone to sleep on.

Answer:

here you go this is for confirmation

Step-by-step explanation:

Compare. Select <, >, or=.
3.568 ? 3.577

Answers

Answer:

3.568 < 3.577

Step-by-step explanation:

3.568 < 3.577

So 3.577 is greater than 3.568

Sasha spent $7.00 of the $20.00 in her wallet. Which decimal represents the fraction of the $20.00 Sasha spent?

Answers

Answer:

0.7

Step-by-step explanation:

Answer:

0.35

Step-by-step explanation:

Tall Mountain is 8,678.37 feet higher than Mt. Might. What is the elevation of Tall Mountain?
The elevation of Tall Mountain is
feet.

Answers

Answer:

i wont give u a direct answer but i will tell u this.. Look up Mt. Mights height  and subtract 8,678.37 with a cauculator. The answer will tell you

Answer: 28,979.87

Step by step explanation: I GOT THE ANSWER CORRECT!!!!!! For any one wondering I am doing this question right no and what the other guy said about subtracting is wrong because i tried doing tat and it said it was wrong.

ula for a Variable
The surface area of a cone is given by the formula
S = nil + n0r2 Solve the formula for l.
0 1=S - p2
O l=S+ p2
Ol= $ - p2
TT
01 = 5 +2.
1=
TT

Answers

Answer: 80 votes

Step-by-step explanation: Solve the formula for l. A) l ... 01/18/2017. Mathematics · High School. answered. The surface area of a cone is given by the formula S = πl + πr2. ... all of the 2's are to the power of R the 5/3.14's are fractions. 2 ... Incognit-oh-no… ... and 219 more users found this answer helpful. Thanks 140. 4.7. (80 votes).

The surface area of a cone is given by the formula S = πl + [tex]\pi r^2[/tex], the formula for I will be l = S/3.14 – [tex]r^2[/tex]. The correct option is C.

What is surface area?

The surface area of a three-dimensional shape is the amount of space that surrounds it.

Starting with the given formula:

[tex]S = \pi l + \pi r^2[/tex]

We want to solve for l.

First, we can isolate the term with l on one side of the equation by subtracting [tex]\pi r^2[/tex] from both sides:

[tex]S - \pi r^2 = \pi l[/tex]

Then we can divide both sides by π to isolate l:

[tex]l = (S - \pi r^2) / \pi[/tex]

Therefore, the solution is:

[tex]l = (\frac{S}{\pi} - r^2)[/tex]

Thus, the correct option is C.

For more details regarding surface area, visit:

https://brainly.com/question/29298005

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Your question seems incomplete, the probable complete question is:

The surface area of a cone is given by the formula S = πl + πr2. Solve the formula for l.

A) l = S – r2

B) l = S + r2

C) l = 5/3.14 – r2

D) l = 5/3.14 + r2

all of the 2's are to the power of R

the 5/3.14's are fractions

WILL MARK BRAINIEST!!!!!!!!!!! PLEASE HELP ASAP

The figure below shows the location of 3 points around a lake. The length of the lake, BC, is also shown. A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 8 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B?
A.) 2.24
B.) 2.65
C.) 3.74
D.) 5.29

Answers

Answer:

I think B but I'm not sure

Step-by-step explanation:

Answer:

B i think

Step-by-step explanation:

you're welcome <3

2. Multiply the following:
a. 3.5(x)

Answers

Answer:

3.5x

Step-by-step explanation:

3.5(x)=3.5x

Help!!!! I don't get this!!!!!!

Answers

Answer:

C

Step-by-step explanation:

One pound (lb) is equal to 16 (oz). So, if you are trying to find how many ounces are in one pound, you have to divide the number of pounds by the 16,   the amount of ounces in one pound.

It’s C

Because if you see you I searched it up and it said that the answer was C simple

pls help me with long division

Answers

86÷3 =

*The divisor is 3 and the dividend is 86

First step: How many 3's can fit into 8? (8÷3)

8÷3 = 2 r 2

Second step: add a 2 above the eight in the tens place of the answer.

86÷3 = 2_

Third step: multiply 3 x 2; 3 x 2 = 6;

In this step, we put a 6 underneath the 8.

Fourth step: Subtract.

In this step, we subtract 8-6 (=2)

Fifth step: bring down the next number. In this case, it is 6.

In this step, we now have the number 26.

Sixth step: How many 3's can fit into 26? (26÷3)

26÷3 = 8 r 2

Last step: Now put an 8 in the one's place and now we have a remaining 2. That is called the remainder. We put the remainder and represent it as "r". We put r2.

I hope this was easy for you to understand!

Answer:

Step-by-step explanation:

  2  8 R2

3[tex]\sqrt{86[/tex]

-  6  

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

    26

-    24

-----------

     0  2

7x31=????????????????

Answers

Answer:

217

Step-by-step explanation:

7 × 31 = 217

I hope this helps!

what is 3(x – 6) = -12x - 9

Answers

Answer:

x = 3/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)=−12x−9

(3)(x)+(3)(−6)=−12x+−9(Distribute)

3x+−18=−12x+−9

3x−18=−12x−9

Step 2: Add 12x to both sides.

3x−18+12x=−12x−9+12x

15x−18=−9

Step 3: Add 18 to both sides.

15x−18+18=−9+18

15x=9

Step 4: Divide both sides by 15

15x/15 = 9/15

  so x = 3/5

plz mark brainly

Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?

Answers

Answer:

2x + 2y ≤ 20

x + 3y ≤ 2

Step-by-step explanation:

this is the correct answer i got on my assignment-------

The system of inequalities can model Gabrielle’s situation is x + 2y ≤ 20

and 3x + 2y ≤ 21.

What are inequalities?

The relation between two expressions that are not equal, employing a sign such as not equal to’, >greater than’, or < less than’.

It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.

By setting variables as follows; batches of brownies = x and batches of cookies = y

Brownie:

Sugar = 1 cup

Eggs = 2

x + 2y ≤ 20

Cookie:

Sugar = 3 cups

Eggs = 2

3x + 2y ≤ 21

To learn more about inequality visit:

brainly.com/question/25275758

#SPJ2

Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her brownie recipe calls for 1 cup of sugar and 2 eggs and her cookie recipe calls for 3 cups of sugar and 2 eggs. Gabrielle has 20 eggs and 21 cups of sugar, and she would like to know how many batches of brownies and cookies she can bake without getting more of these ingredients. Part A Question Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?

How many ?!!!!
?!!!
?!!

Answers

15

hope this helps you alot☺✌❤

1. Given the equation Ax + By = 600 and the x-intercept is (60,0) and the y-intercept is (0,25)
what are the values of A and B?
A =
B=

Answers

A=60 B=25
Hope this helps

Is 13 a solution to the compound inequality d>5 and x<10

Answers

Answer:

Step-by-step explanation:

13>5 is correct but 13 < 10 is not correct

so 13 is not a solution

Give two reasons why it's impossible to draw triangle PQR m angle Q=103^ m angle R=47^ p = 44 q = 12 , and f = 31

Answers

Answer:

It is impossible becuase it would not eqaul the numbers a regular triangles would have. A triangle has to equal a certain number and this number does not make a traingle.

Reason 1: The hypotenuse is invalid, because 44^2 does not equal 12^2 + 31^2.

Reason 2: The angles measures do not correlate properly to their assigned letter sides (at least to me). Additionally, 30 degrees just doesn't make any sense from a logical standpoint.

Sam bought a video game console for $150. He later sold the video game console for 13/12 of price he originally paid. Which statement about the price sam sold the video game consol for is true?

Answers

Answer:

1/45

Step-by-step explanation:

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean?

Answers

Complete Question

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)

A 0.8531

B 0.1468

C 0.9332

D 0.0668

Answer:

The correct option is  A

Step-by-step explanation:

Generally from the z table  the area under the normal curve to the left corresponding to  1.05 is

     [tex]P(Z < 1.05) = 0.8531[/tex]

To paint, a House, a painting company charges a flat rate of $400 for supplies, plus 60$ for each hour of labor. Write an equation for this situation.

Answers

y=60x+400

60 is the slope because they get payed $60 hourly, so the money is constantly increasing. 400 would be the y-intercept because it’s a constant. It doesn’t increase, it stays the same.

can someone help me pls

Answers

3/7 is bigger than 1/4 common denominator: 28

Alex and two friends paid $21.75 to see a movie.How much did each
ticket cost

Answers

Answer:

Alex and his two friends had to pay $ 7.25 for a ticket.

Step-by-step explanation:

simply divide $21.75 by 3

Answer:

i believe its $7.25

Step-by-step explanation:

$21.75 divided by 3 = $7.23

Find the y-intercept of the folowing equation. Simplify your answer

19x + 8y=7​

Answers

Answer:

y-intercept occurs when x = 0

19x + 8y=7​

19*0 + 8y = 7

y -intercept = (0, 7/8)

Step-by-step explanation:

Point Slope Form: y+2=-7(x-4)
Slope-intercept form: ???
Will reward 100 points

Answers

Answer:

[tex] \blue{\boxed{\star \boxed{\bold{\large{7x + y = 26}}}\star}}[/tex]

Step-by-step explanation:

y + 2 = - 7 (x - 4)

y + 2 = - 7x + 28

y + 7x = 28 - 2

7x + y = 26

y = 26 - 7x ✔

Fill in the blanks to complete the sentence.
Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the nearest tenth if necessary. :)

Answers

Answer:32%

Step-by-step explanation:

330-250=80

80/250=0.32 or 32%

what is the meaning of function

Answers

Answer:

A relationship or expression involving one or more variables

Step-by-step explanation:

What is the diference between the
largest and the smallest 4 digit numbers​

Answers

largest 4 digit number : 9999

smallest 4 digit numbers : 1000

Difference = 9999 - 1000 = 8999

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