A random sample of 10 fields of corn has a mean yield of 22.5 bushels per acre and standard deviation of 5.84 bushels per acre. Determine the 99% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer 1

Answer:

The critical value that should be used in constructing the confidence interval is T = 3.25.

The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.25 which is the critical value that should be used in constructing the confidence interval.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.25\frac{5.84}{\sqrt{10}} = 6.002[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 22.5 - 6.002 = 16.498 bushels per acre

The upper end of the interval is the sample mean added to M. So it is 22.5 + 6.002 = 28.502 bushels per acre

The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.


Related Questions

Please help!!!!!!!!!

Answers

10+6+9+13+7= 45

and divide it by 5

the answer is 9

the answer is 2.74, this is easy to figure out if you want to you can look up a claculator for it

 

1 Krista has 10 cups of gelatin. If each bowl holds 3 cup, how many bowls can she fill?​

Answers

Answer: Krista can fill 3 1/3 bowls of gelatin.

May I have some help with this?​

Answers

Answer:

a. tanB= 3/2

Step-by-step explanation:

tanA= p/b =:2/3

For angle A,

p= 2

b=3

For angle B,

p = 3

b=2

So, TanB = 3/2

What is the measure of the central angle that goes with the given arc measure shown below

Answers

The measure of minor arc is equal to its corresponding central angle
Since the arc is equal to 90 the central angle is also equal 90

A concrete pilar has the shape of a svinder It has a diameter of 6 meters and a height of 5 meters. If concrete costs $108 per cubic meter, how much did the
concrete cost for the pillar?
If necessary, refer to the list of cometry formulas
For your calculations, do not round any intermediate stops, and use the it button on the ALEKS calculator Round your answer to the nearest cent.

Answers

Answer:

The cost of concrete for the pillar would be $ 15,260.40.

Step-by-step explanation:

Given that a concrete pillar has the shape of a cylinder and it has a diameter of 6 meters and a height of 5 meters, if concrete costs $ 108 per cubic meter, to determine how much did the concrete cost for the pillar the following calculation must be done, knowing that the volume of a cylinder is calculated with the following formula = πxr²xh:

3.14 x (6/2) ² x 5 = X

3.14 x 3² x 5 = X

3.14 x 9 x 5 = X

3.14 x 45 = X

141.3 = X

141.3 x 108 = X

15,260.4 = X

Therefore, the cost of concrete for the pillar would be $ 15,260.40.

What is the volume of the rectangular prism?
5 cm
8 cm
1 cm
cm3

Answers

Answer: 40 PLEASE MARK BRAINLEST

Step-by-step explanation:

What are the coordinates of point A" if triangle
ABC is reflected over the y-axis and then
translated by the rule (22, y) + (x – 5, y – 5) ?

A. (-2,-2)
B. (2,-2)
C. (-2,2)
D. (2,2)

Answers

Answer:

Reflected OVER Y makes A

A (-7,3) -> (7,3)

Translated makes

A (7,3) -> (7-5, 3-5) = (2,-2)

B)

Step-by-step explanation:

Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Answers

man i don’t know, probably 70

please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A) 40

B) 20

Step-by-step explanation:

By Length · Width · Height

A)  (5) · (4) · (2) = 40

For part B, the length and width are the same, but the depth (height) of the water is only one foot, so we can replace the height value from the first equation with 1.

B) (5) · (4) · (1) = 20

3) Lynn helped you prepare 35 sets of injections of dopamine for the clinic this week. Each injection is 50mL. How many liters of dopamine did the clinic use this week?

Answers

Answer:

1.75 liters

Step-by-step explanation:

Multiply 50ml per set by 35 sets to get 1750ml. If 1000 ml is 1 liter, then 1750 ml is 1.75 liters. :)

how do you find the percent of discount if the original price is $578 and the sale price is $78.76

Answers

Answer: 86%discount approx

Step-by-step explanation:

You need to think about how the original price (578) is 100% of the price and that the sale price (78) is just a percentage of that. To discover how much of that 100% the price 78 is, you can write the formula:

578:100=78:x

X=(78*100)/578

X=14 %

Once you know that 78 represents the 14% of the whole price (100%-578) you just have to subtract that amount from the whole to understand which percent of discount has been applied: 100-14 = 86%

What do you want to know

Answers

Answer:

the point of living life if there's any also what's after death

Explain distributive property

Answers

Answer:

distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.

Answer:

Look at attachment:

Step-by-step explanation:

Hope this helps! :)

Help me!!!!!!!!!!!! And look at the picture plzzzz!!!!

Answers

Answer: 72

Step-by-step explanation:

Set it up as a ratio

[tex]\frac{12}{15} =\frac{x}{90} \\15x=1080\\x=72[/tex]

A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling: Pine Trees Spruce Trees Sample Size 40 80 Mean trunk diameter (cm) 35 30 Population variance 160 160 Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

Answers

Answer:

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Step-by-step explanation:

Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

[tex]H_a: \mu_1 - \mu_2 > 0[/tex]

In which [tex]\mu_1[/tex] is the mean pine trees height while [tex]\mu_2[/tex] is the mean spruce trees height.

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Mean trunk diameter (cm) 35 30:

Pine trees - 35

Spruce trees - 30

The sample mean is given by the subtraction of the means. So

[tex]X = 35 - 30 = 5[/tex]

Sample Size 40 80

Population variance 160 160

This means that the standard error for each sample is given by:

[tex]s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2[/tex]

[tex]s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}[/tex]

The standard error of the difference is the square root of the sum squared of the standard error of each sample.

[tex]s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{5 - 0}{2.4495}[/tex]

[tex]z = 2.04[/tex]

Pvalue of the test:

Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.

Looking at the z-table, z = 2.04 has a pvalue of 0.9793.

1 - 0.9793 = 0.0207

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Triangle ABC is equilateral. What is the measure of angle B?

Answers

Answer:

60

Step-by-step explanation:

Equilateral triangles- all 3 angles are 60

GIVING EVERYTHING. NO LINKS OR ABSURD ANSWERS.

Answers

Answer:

A.

Step-by-step explanation:

A polyhedron is a 3d figure that has flat polygonal faces.

Since this 3d shape has octagons on its faces and rectangles on its sides, it is considered a polyhedron.

Counting everything adds up to 10 faces, 16 vertices, and 24 edges.

Hope this helps!

PLEASE HELP QUICK PLS PLS PLSSSSS

Answers

i think the answer is 265

The height of a triangle is 5 more than double the base length. If the height of the triangle is 74mm, what is the base length of the triangle

Answers

Answer:

height = 5+2xbase

74 = 5+2xbase

subtract 5 from both sides

69 = 2xbase

divide both sides by 2

34.5mm = base length

Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other. How many different ways can they stand in line?
40 points && brainliest! pls help.

Answers

Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other. So, there are 24 different ways they can stand in line.

How does factorial work?

Factorial of a positive integer is the result of the repeated multiplication of all the integers from 1 till that considered integer.

Thus, if we want to take the factorial of 'n',(n being a positive integer), then:

[tex]n! = 1 \times 2 \times \cdots \times (n-1) \times n[/tex]

Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other.

The different ways they can stand in line = 4!

[tex]= 4 \times 3 \times 2 \times 1\\\\= 12 \times 2\\\\24[/tex]

So, there are 24 different ways they can stand in line.

Learn more about factorials here:

https://brainly.com/question/16036678

#SPJ2

Find the value of x. Round to the
nearest tenth.
26
12
X
X =
Enter

Answers

Answer:

322. So this is correct or wrong

Tangent26=opposite/ adjacent
Tan26=x/12
x=tan26*12

A television is on sale for 30% off. The sale price is $322. What is the original price of the television?
PLEASE HELP QUICK

Answers

Answer:

$460

Step-by-step explanation:

Let

x = original price of the television

Sale price = $322

Discount = 30%

x - 30% of x = 322

x - 0.3 * x = 322

x - 0.3x = 322

0.7x =322

x = 322/0.7

x = $460

x = original price of the television = $460

Can anyone help? I struggle with Algebra

Answers

The answer is D on your question

In AHIJ, h = 160 inches, i = 910 inches and ZJ=28°. Find the area
of AHIJ, to the nearest square inch.

Answers

Answer:

34178

Step-by-step explanation:

deltamath

Doors for the small cabinets are 11.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?

Answers

Answer:So if you take the small cabinet door length which is 11.5 inches long and multiply by a factor of 2.3 you get the total length of the large cabinet doors, which is 26.45 inches

Step-by-step explanation:

Each side of the park is 9meters long what is the perimeter

Answers

Answer:1125

Step-by-step explanation:

w=width

w+20=length

P=2l+2w

140=2(w+20)+2w

140=2w+40+2w

140=4w+40

140-40=4w

100=4w

w=100/4

w=25 m

l=25+20=45 m

A=lw

A=45*25

A=1125 sq m

Please help, I’ll mark you as brainiest if you’re correct !!!

Answers

Answer: i think c

Step-by-step explanation:

Answer:

I believe the answer is B i am not 110% sure tho

HELP ME PLEASE PLEASE PLEASE

Answers

Answer:

( 4 x 10 y )

Step-by-step explanation:

Mr. Rice needs to replace the 166.25 ft of edging on the flower beds in his backyard. The edging is sold in lengths of 19 ft. each. How many lengths of edging will Mr. Rice need to purchase?

Answers

Answer:

6.11 or 6.12

Step-by-step explanation:

You will have to divide 116.25 by 19

to find the length Mr.Rice will need to purchase

which is 6.11842105

-5 = 1 / 3 ( -1 - w )
plz help with step by step answer

Answers

Step-by-step explanation:

[tex] - 5 = \frac{1}{3} ( - 1 - w) \\ \frac{1}{3} ( - 1 - w) = - 5 \\ - 1 - w = - 5 \div \frac{1}{3} \\ - 1 - w = - 5 \times 3 \\ - 1 - w = - 15 \\ - w = - 15 + 1 \\ - w = - 14 \\ w = 14[/tex]

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