Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 90 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation.
(A) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use alpha = 0.01.
(B) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). (e.g. 98.76).

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information:

Let assume:

[tex]\mu_1 =[/tex] population mean for catalyst 1

[tex]\mu_2 =[/tex] population mean for catalyst 2

Then:

Null hypothesis: [tex]\mu_1 \ge \mu_2[/tex]

Alternative hypothesis: [tex]\mu_1 <\mu_2[/tex]

[tex]\alpha= 0.01[/tex]

By using MINITAB software to compute the 2 sample t-test, we have:

Two-Sample T_Test and CI

Sample    N     Mean     StDev      SE Mean

1               12     94.00      3.00       0.87

2              15      90.00     2.00      0.52

Difference = [tex]\mu_1(1)-\mu_2(2)[/tex]

Estimate of difference: -6.00

99% upper bound for difference: -3.603

T-test of difference: 0  (vs <): T-value = -6.22

P.value = 0.000

DF = 25

Both use Pooled  StDev = 2.4900

From above result

the test statistics = -6.00

p-value = 0.00

Decision Rule: To reject [tex]H_o\ \ if \ \ p \le \alpha[/tex]

Conclusion: Provided that p-value is < ∝, we reject [tex]H_o[/tex]. Hence, there is sufficient evidence to support the given claim.

b) From the MINITAB;

The 99% C.I on the difference in the mean yields that can be applied to test the claim in part (a) is:

[tex]\mathbf{\mu_1 -\mu_2 \le -3.60}[/tex]


Related Questions

Find the sum or difference. (5a – 3b2 – a) + (b – 5 + 8a2)

Answers

Answer:

C

Step-by-step explanation:

5a - 3b^2 - a + b - 5 + 8a^2

8a^2 - 3b^2 + 4a + b - 5

If I invest $1,000 at an 8.5% interest rate, how much money will I earn over 6 years?

Answers

6,000$

if the answer is wrong i am sorry :(

Answer:

$510

Step-by-step explanation:

A restaurantis planning to make changes to its menu. In order to decide which potential menu items are most popular with the city's population, the owners will conduct a survey. Which survey methods would produce a representative sample of the city's population

Answers

Answer:

Simple random sampling survey method

Step-by-step explanation:

A simple random sampling is an unbiased survey technique Hence it will represent all the parts of the city's population.

In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population). Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at any stage during the sampling process

Answer:

hope i helped :)

Step-by-step explanation:

some survey methods that could produce a representative sample of the city's population could be as follows:

o panel sampling

o online surveys

o mail-in surveys

hi can anyone help me with this please

Answers

Answer:35in.

Step-by-step explanation:

I reccomend splitting it into sections when given problems like this.

The smaller two rectangles would be 5in * 2in which is 10in then just add them together.

For the bigger one, you'd do 5-2 in order to get the missing inches which will be 3+2 once added 5in*3in is 15in.

Finally, add 15+10+10 (15=The middle rectangle and 10=the sides)

Answer:

Break it up into pieces. The answer is 35in^2

Step-by-step explanation:

I took the first rectangle you see which is 5in by 2. Multiply that and you get 10

I then took the second one and is the 5 in by 3in. Multiply those and you get 15

The last one is the exact same as the first one

Add the areas all together and you get the area of the whole shape

Hope that helps

Alejandra took a taxi home from the airport. The taxi fare was $2 per mile,
and she gave the driver a tip of $5. She paid a total of $49. How far is it from
the airport to Alejandra's home?

Answers

Answer:

22 miles

.......ur welcome.......

49-5=44

44÷2=22

Answer:

The answer is 22miles from the airport to Alejandra's home.

Step-by-step explanation:

2 X 22 = $44

PLUS  $5 dollar tip so that would be:

$44 + $5 = $49

A line has a slope of 6 and a y-intercept of 9. What is its equation in slope-intercept
form?

Answers

answer: y=6x+9

explanation: y=mx+b

Answer:

y=6x+9

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

Are these triangles similar? If yes, write a similarity statement.

Answers

Yes because they both have the same degrees, but one is slightly rotated

Connie bought 172 tulip bulbs. She wants to plant an equal number of bulbs in each of 4 flower beds. How many bulbs should Connie plant in each flower bed?
(wrong answer will get you reported)

Answers

Answer:

43

Step-by-step explanation:

172/4= 43

(-4x + 5) - (6x + 7) = 0
What is the solution to the equation?
O x = 6
O x= 1
O x = -0.2
O = -1.2

Answers

The answer of this math question is C) X= -0.2

which of these describes abc?​

Answers

Answer:

A

Step-by-step explanation:

I remember it by:

acute: a cute little angle that is smaller than 90 degrees

Tell whether the following binomial is a factor of the polynomial

binomial- (x+8)

Polynomial- x^5-8x^4+8x-64


Please help :)

Answers

Answer:

Given polynomial

x⁵-8x⁴+8x-64= x⁴(x-8)+8(x-8)= (x-8)(x⁴+8)

after factorization of the given polynomial we didn't get any factor (x+8) , hence the following bionomial is not the factor of the polynomial.

Ez hw for my lil sis

Answers

Answer:

an apple is a cirlce and phone is a rectangle

Step-by-step explanation:

Answer:

Triangle and Circle

Banana and apple

Pizza and Pineapple

Bread and Corn

A simple random sample of size 51 has sample mean of 70.72. The population distribution is approximately normal, with population standard deviation of 16.25. Determine the correct method of finding a 95% confidence interval for the unknown population mean and compute it. z-method: (66.26, 75.18) Cannot compute: the population size is too small. t-method: (66.15, 75.29) z-method: (66.15, 75.29)

Answers

Answer:

z-method: (66.26, 75.18)

Step-by-step explanation:

We have the standard deviation for the population, which means that we use the z-distribution to solve this question.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

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

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{16.25}{\sqrt{51}} = 4.46[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 70.72 - 4.46 = 66.26

The upper end of the interval is the sample mean added to M. So it is 70.72 + 4.46 = 75.18

The correct answer is z-method: (66.26, 75.18)

Help please will mark brainliest!!!

Answers

Answer:

176.71

Step-by-step explanation:

you can just search up "area of circle calculator and plug in the radius

PLEASE HELP, anything appreciated

Answers

Answer:

1:81

Step-by-step explanation:

figure b is 81 times bigger

Which is bigger 3/12 or -4/5

Answers

Step-by-step explanation:

3/12 = 0.25

-4/5 = - 0.8

so since the 2nd one is negative.

so 3/12 is the bigger

3/12 cause the other is negative

PLEASE HELP FAST ILL MARK AS BRAINLIEST!!!!! :((

Answers

Hi
Here it is!!!

I did
3x-2=4x
3x-4x=2
-1x=2
-x=2/1
-x=2
x=-2


The DrJOKER

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
x + y - z = -2
2x - y + 3z = 9
x - 4y - 2z = 1

Answers

Answer:

8

Step-by-step explanation:

k

A point is chosen at random on AK.
What is the probability that the point
will be on FI? Don't forget to reduce.
A B с E F G H I J KI
HHHHHHHHHHHHHH
-10 -8 -6 -4 -2 0 2 4 6 8 10

Answers

Answer: 3/10

Step-by-step explanation: 6/20 reduced = 3/10 for acellus

Probability -

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail).

Given,

            A B с E F G H I J KI

           HHHHHHHHHHHHHH

          -10 -8 -6 -4 -2 0 2 4 6 8 10

So,

       The probability that the point will be on FI

                     A B KI C D E E G H J

                         HHHHHHHHH

                     -6 -4 -2 0 2 4 6 8 -10° -8 10

Enter Done q W er t y u i O p a a s d f f gh j k Z X C V b n m X 123 space return .

Learn more about probability  brainly.com/question/11034287

#SPJ2

Find perimeter of rectangle when length = 4.6m and breadth = 360cm​

Answers

Answer:

16.4 m²

Step-by-step explanation:

length = 4.6 m

breadth = 360 cm = 360 ÷ 100 = 3.6 m

Perimeter = 2*(l + b)

                 = 2 * ( 4.6 + 3.6)

                 = 2 * 8.2

                  = 16.4 m²

Find the value of x. Round to the
nearest tenth.
х
33
6

Answers

Answer:

cos(33) = 6/X

cos(33)*6= X

X= 5.03202340767254

rounded to the nearest tenth it is 5

therefore X= 5

The value of x in the given digram using trigonometry to the nearest tenth is 7.15.

What is the value of x ?

The given image is a right triangle. A right triangle is a triangle that has three sides with one of the angles measuring 90 degrees.

Given an angle and the length of the adjacent side, we are to determine the value of the hypotenuse using cos.

Cos = adjacent / hypotenuse

cos 33 = 6 /h

h = 6 / cos 33

h = 6 / 0.83867

h = 7.15

To learn more about right angled triangle, please check: https://brainly.com/question/20694080

Make a box-and-whisker plot for the set of data.
21, 27, 27, 25, 21, 13, 18, 25

Answers

Lowest number 13 Highest is 27

1st or lower quartile is 16.5

the median is 21

the 3rd or upper quartile I found between 22 and 24 which would be 23.

Solve this and put it an inequality.
|x - 7|=x-7

Answers

Answer:

x>=7

Step-by-step explanation:

Since the equation on the right is equal to the equation on the left that means that x has to be greater or equal to 7 to make the statement true.

Find the degree of the polynomial – 3x + x² +3.​

Answers

Answer:

Step-by-step explanation:

Degree means highest exponent.  got it?

I believe the answer is: 2

Hope this helps :)

jasonran 4 miles in 30 minutes which of the following is an equivalent rate of running

Answers

Answer:

10 miles in 75 minutes

Step-by-step explanation:

Hi, I need the are to this question, I just need to show my work btw​

Answers

what is the question?

What is the value of the smaller zero of the function f(x) = 2x2 - 8x - 24?

Answers

2x^2 - 8x - 24
X^2 - 4x - 12
(X - 6) (x + 2) = 0
X= 6 X= -2
Smaller zero: X =2

Help please!!!! I’ll appreciate it so much!

Answers

Answer:

13. x = 4

14. x = -16

15. x = 11

Step-by-step explanation:

You can use photo math for the answers !


JOE CAN READ 27 PAGES IN 3 HOURS. HOW MANY CAN HE READ IN 9 HOURS?

Answers

The correct answer is 81 hours

Find the probability

Answers

Answer:

33.3333%

Step-by-step explanation:

each side would be 50% and if one side is split between three it would equal if it was 16.6667 each

since tehre are two red sides multiply 16.6667 by 2 and u get 33.3333%

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