A farmer claims that the average mass of an apple grown in his orchard is 100g. To test this claim, he measures the mass of 150 apples that are grown in his orchard and determines the average mass per apple to be 98g. The results are calculated to be statistically significant at the 0.01 level. What is the correct interpretation of this calculation?
A. The data are not statistically significant at the 0.05 level.
B. The mean mass of any 150 apples grown in the farmer's orchard is 98g.
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
D. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is 98g.

Answers

Answer 1

Answer:

C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 100[/tex]

Because of the claim of the farmer.

The alternate hypothesis is:

[tex]H_{1} \neq 100[/tex]

The alternate hypothesis tests the farmer's claim at a significance level.

The results are calculated to be statistically significant at the 0.01 level.

This means that at the 0.01 level, the null hypothesis is rejected, that is, the mean mass of the farmer's orchard is different from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1, and increasing levels. So the correct answer is given by option C.


Related Questions

I WILL MARK BRAINLIEST!! What is the value of x in this triangle?

Answers

Answer:

x = 2

Step-by-step explanation:

Answer:  x = 8

=============================================================

Explanation:

The tickmarks tell us which sides are the same length. This in turn tells us that points N and O are midpoints of LJ and LK respectively (since midpoints cut a segment in half). We consider segment NO to be a midsegment.

Recall that midsegments are half as long as the side they are parallel to. That means segment NO is half as long as JK. This reverses to segment JK being twice as long as segment NO.

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

JK = 2*(NO)

2x+8 = 2*(12)

2x+8 = 24

2x+8-8 = 24-8 .... subtract 8 from both sides

2x = 16

2x/2 = 16/2 ...... divide both sides by 2

x = 8

If x = 8, then 2x+8 = 2*8+8 = 16+8 = 24. This shows that segment JK is 24 units long which is double that of midsegment NO being 12 units long. This confirms we have the correct x value.

There is a spinner with 10 equal areas, numbered 1 through 10. If the spinner is spun
one time, what is the probability that the result is a multiple of 5 or a multiple of 2?

Answers

Answer:

3/5

Step-by-step explanation:

In the numbers 1 thru 10, there are 5 multiples of 2 (2, 4, 6, 8, 10) and 2 multiples of 5  (5, 10).  Since you cannot count 10 twice, there are 6 possibilities (2, 4, 5, 6, 8, 10)

So the probability of spinning a multiple of 2 or 5 is 6/10 = 3/5

Answer:2/10 probabilty for the multiple of 5 and a 5/10 or 50% chance that it will be a multiple of 2

Step-by-step explanation: 10 areas, there are 2 multiples of 5,( 5 and 10 )and there is a 2/10 chance of landing on landing 5 or 10 because there are 2 multiples of 5. There are also 5 multiples of 2, (2, 4, 6, 8, 10) 5/10 chance because there are 5 multiples out of 2

Stephanie bought a chair for $124.00. The finance charge was $24 and she paid for it over 12 months. (Finance Ch arg e: #Months)(12) Use the formula Amount Financed calculate her approximate APR. Approximate APR to Round the answer to the nearest tenth.
O 20.5%
O 19.4%
O 1.6%
O 1.5%​

Answers

20.5% im not sure about that

Find the total surface area of the number
cube.
2 in.
2 in.
2 in.

Answers

Answer: 24 Inches

Step-by-step explanation:

The equation for velocity is v = distance time . Evaluate the velocity of an object that travels 15 meters in 2.5 seconds.

Answers

Answer:

What is acceleration?

Imagine you are playing golf, and you’ve just set up the golf ball on the tee. You test your grip, take a few practice swings, and peer into the distance at the flag pole marking the first hole for the course. Your wise golf ball guru (who happens to also teach physics) tells you to “Be the ball, young grasshopper.” So you close your eyes and picture the distance the ball must travel. “Yes, young earthworm”, your sensei says, “that distance you see is the displacement you must achieve, displacement is the change in position from one place to another.”

Step-by-step explanation:

John bought a video game that was 30% off. The game was originally $70. What was the sale price of the game?

Answers

Answer:

49 Dollars

Step-by-step explanation:

If you subtract 70- 30%, you get 49 dollars

Hope this helps =)

$49 because if you subtract 30% from $70 that’s what you get

Please no links just the letter answer and explanation please

Answers

Answer:

-6.5 degrees/km  

Step-by-step explanation:

I couldn't rlly find the answer myself, but this quizzis link has it. Question 7 on the quizzis btw https://quizizz.com/admin/quiz/5cbe6de57d6ff2001bf22fc3/2019-algebra-i-staar-review-day-2

Ariana invests $2,000 at a rate of 6% annual interest
compounded quarterly. Approximately how much is Ariana's
investment worth in 3 years?
I

Answers

Step-by-step explanation:

Compounded quarterly means n=4

5.7 x 10 to the power of 1


5.7 x 10 to the power of 2


5.7 x 10 to the power of 3

Answers

Answer:

idontk nowthis is half a        ss

Step-by-step explanation:

A cone has a radius of 10 meters and a height of 5 meters. What is the volume of the cone to the nearest cubic meter? Use 3.14 for

Answers

Answer:

523.3

Step-by-step explanation:

The volume of a cone is 1/3 hB where h is the height and B is the area of the base.

Step 1: Find the area of the base (B). The base of a cone is a circle so use the formula pi*r^2. Plug in numbers. 3.14*10^2. 3.14*100=314

Step 2: Plug into the formula. 1/3(5*314) --> 1/3(1570)=523.3

523 meters cubed (rounded to nearest cubic meter)
(Full answer is 523 1/3)

A Hertz Rent-a Car is a car agency charges $40 for one day plus $0.10 per mile to rent a full size car. Enterprise Rent-A-Car charges $18 for one day plus $0.20 cents per mile to rent the same car. How many miles could you drive in one day that would result in the final bill to be the same from both companies?

Answers

Answer: 220 miles

Step-by-step explanation:

Let's write the equations for each case:

A Hertz Rent-a Car:

Charges a fixed amount of $40, plus a $0.10 per mile.

Then if you drive x miles, we get a total cost of:

C(x) = $40 + $0.10*x

Enterprise Rent-A-Car:

Chares a fixed amount of $18 plus $0.20 per mile, so if you drive x miles, the cost is:

K(x) = $18 + $0.20*x

Now, we want to find how many miles you can drive such that you would pay the same in both companies.

Then we need to find x such that:

C(x) = K(x)

$40 + $0.10*x = $18 + $0.20*x

Let's solve this for x.

$40 - $18 = $0.20*x - $0.10*x

$22 = ($0.20 - $0.10)*x

$22 = $0.10*x

$22/$0.10 = x

220 = x

So if you drive exactly 220 miles, you would pay the same in both companies.

Omg!? Is 96 correct??

Answers

If you are finding the perimeter I believe you would just add up the four sides, getting 46

What is the area of the segment?

Answers

Answer:

The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here). There is a lengthy reason, but the result is a slight modification of the Sector formula: Area of Segment = θ − sin(θ) 2 × r2 (when θ is in radians) Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)

Amar thinks of a number If he takes away 6 from ⅔ ? of number, the result is
22. Find the number.​

Answers

Let's assume the number as x

According to the question,

2/3x-6=22

2x-6=22×3

2x= 66-6

2x=60

x=60/2=30

Therefore, as x=30, The number is 30 itself.

The scatterplot above shows the number of hits and the
number of times at bat by each of 20 players on a major
league baseball team. The line of best fit for the data is
also shown.
For the player with 450 times at bat, the actual
number of hits the player had is approximately how
many fewer than the number of hits predicted by the
line of best fit?
A) 10
B) 20
C) 30
D) 10

Answers

I think the answer B step by step

The actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit

How to interpret the scatter plot?

From the complete question, we have the following highlight:

The blue line is the predicted number of hitsThe red line is the actual number of hits.

From the graph, we have the following readings at x = 450

Actual readings y = 123 Predicted readings y = 113

Calculate the difference

d = 123 - 113

Evaluate the difference

d = 10

Hence, the actual number of hits the player had is approximately 10 fewer than the number of hits predicted by the line of best fit

Read more about lines of best fit at:

https://brainly.com/question/17261411

1. Toni bought 5 t-shirt for $54 . They each cost the same . Also please tell me how to right it

Answers

Answer:

5 T-shirts = $54

10 T-shirts = $108

20 T-shirts = $216

Find the area of the shaded region. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

r = 8.35 ft

area of circle = πr² = 69.7225π ft²

θ = 5π/9 radians

area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²

shaded region = 69.7225π - 26.51 ≅ 192.53 ft²

The area shaded region is found to be as 192.97 ft².

What is a circle?

A circle is a geometric shape, all of which points are equidistant from a fixed point called as the centre.

The centre of the circle does not lie on it.

The largest line segment that can be drawn inside a circle is its diameter.

For the given circle,

Radius is given as 8.35 ft.

And, the angle subtended by minor arc is 100°.

Then, the angle formed by major arc is 360 - 100 = 260°.

Noiw, the area of shaded region is given as below,

Area of the sector for major arc + Area of triangle

⇒ 260/360 × πr² + 1/2 × r²

Plug π = 3.14 and r = 8.35 to obtain,

⇒ 13/18 × 3.14 × 8.35² + 1/2 × 8.35²

⇒ 192.97 ft²

Hence, the area of the shaded region is obtained as 192.97 ft².

To know more about circle click on,

brainly.com/question/11833983

#SPJ2

Shawna worked out for a total of 20 hours last month. The circle graph shows how Shawna
divided her time during her workouts last month.
Shawna's Workout Time
Rowing
machine
Weights
30%
Exercise bike
10%
Treadmill
40%
Based on the circle graph, for how many hours did Shawna use the rowing machin

Answers

Answer:

she spent 4 hours rowing

Step-by-step explanation:

the missing percent is 20, so she spent 20% of 20 hours rowing

this comes out to 4 hours

Put the equation 169x^2+25y^2-4225=0 in standard form and sketch the ellipse including the foci in your sketch ​

Answers

Answer:

The standard form of the ellipse is [tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]. Coordinates of the foci are [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex], respectively.

Step-by-step explanation:

The equation of a ellipse centered in the origin in standard form is defined by following formula:

[tex]\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}} = 1[/tex] (1)

Where [tex]a, b[/tex] are the coefficients of the ellipse.

Now we proceed to transform the equation of the ellipse in general form into standard form by algebraic means:

[tex]169\cdot x^{2}+25\cdot y^{2}-4225 = 0[/tex]

[tex]169\cdot x^{2}+25\cdot y^{2} = 4225[/tex]

[tex]\frac{x^{2}}{25} +\frac{y^{2}}{169} = 1[/tex]

Since [tex]b > a[/tex], then major axis of the ellipse is located in y-axis. The distance between center and focus ([tex]c[/tex]) is calculated by following Pythagorean identity:

[tex]c =\sqrt{b^{2}-a^{2}}[/tex] (2)

[tex]c = 12[/tex]

The location of the foci are represented by [tex]F_{1} (x,y) = (0,-c)[/tex] and [tex]F_{2}(x,y) = (0,c)[/tex]. If we know that [tex]c = 12[/tex], then the location of the foci are, respectively:

[tex]F_{1}(x,y) = (0,-12)[/tex], [tex]F_{2}(x,y) = (0,12)[/tex]

If you answer correctly you get one of those crown things

Answers

Answer:

CDBE

Step-by-step explanation:

If you add angle CD and BE together it would be CDBE

No clue on how to do this

Answers

Answer:

parallelogram

Step-by-step explanation:

That's the answer....

The average price of a two-bedroom apartment in the uptown area of a prominent American city during the real estate boom from 1994 to 2004 can be approximated by p(t) = 0.12e0.10t million dollars (0 ≤ t ≤ 10) where t is time in years (t = 0 represents 1994). What was the average price of a two-bedroom apartment in this uptown area in 2002, and how fast was the price increasing? (Round your answers to two significant digits.)

Answers

Answer:

Step-by-step explanation:

Average price of a two bedroom apartment can be approximated by the equation,

p(t) = [tex]0.12e^{0.10t}[/tex]

Here, t represents the duration from year 1994.

Duration from year 1994 to year 2004 = 10 years

p(10) = [tex]0.12e^{0.10\times 10}[/tex]

        = 0.12e

        = 0.3262

        ≈ 0.33 million

Cost of the apartment in 2004 was 0.33 million.

Let the equation to calculate the rate of increase in the price is,

p(t) = [tex]0.12(1+\frac{r}{100})^t[/tex]

Cost of the apartment after 10 years = 0.33

0.33 = [tex]0.12(1+\frac{r}{100})^{10}[/tex]

[tex]\frac{0.33}{0.12}=(1+\frac{r}{100})^{10}[/tex]

2.75 = [tex](1+\frac{r}{100})^{10}[/tex]

[tex](1+\frac{r}{100})=(2.75)^{0.10}[/tex]

1 + [tex]\frac{r}{100}=1.106[/tex]

[tex]\frac{r}{100}=0.106[/tex]

r = 10.6%

Therefore, price of the apartment is increasing with 10.6%

How to turn a percentage into a decimal

Answers

Answer:

Divide a percent by 100 and remove the percent sign to change it  from a percent to a decimal.

Step-by-step explanation:

1. Example: 9 % is 0.09

2. Example: 8% is 0.08

3 .Example: 10% will change to 10/100 =decimal 0.10

That how it work just follow the example

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{You have DIVIDE your GIVEN PERCENT by 100 because}\\\large\textsf{percentages runs out of 100}[/tex]

[tex]\large\textsf{Example }\downarrow[/tex]

[tex]\mathsf{\dfrac{75\%}{100}}[/tex]

[tex]\mathsf{= \dfrac{75}{100}}[/tex]

  [tex]\boxed{ \textsf{\bf 0.75}}\large\checkmark[/tex] ☑️

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

WILL GIVE BRAINLIEST
sketch the graph of the following equation: y=|4-3x|

Answers

Answer:

attached

Step-by-step explanation:

y=|4-3x|    y: positive number

The formula for the volume of a pyramid is V=1/3 Bh. What is h expressed in in terms of B and V?

Answers

V = 1/3 * B * h     /*3

V * 3 = B * h       /B

V * 3 / B = h

h = V * 3 / B

What is the slope of line help please pleaseeee

Answers

Answer:

3/2

Step-by-step explanation:

Slope = rise / run

Rise: 3

Run: 2

Slope = 3/2

Answer:

Awnser: the slope is y=-3/1

Coach Abernathy has 12 boys in his class of 30 kids which of the following classes has a class that has the same proportion of boys to girls

Answers

Answer:

Step-by-step explanation:

Can you guys help me please ASAP

Answers

B would be your best answer looking at the graphic chart

What is 25 x 65 / 73?

Answers

25x65=1625

1625/73=22.26

7) Find 18th term of the arithmetic sequence:
{13, 8, 3, -2, -7, ...}

Tysm

Answers

13-8=5

8-5=3

3-5=-2

-2-5=-7

etc.

Just keep subtracting 5 until you have the 18th term

---

hope it helps

Answer:

-77

Step-by-step explanation:

Reasoning:

Every step is decreasing by 5, therefor you will do 13-5 18 times. this will get you -77

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