Mathematics College

A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previous research, the horticulturist feels the average weekly growth rate of the new shrub is 4cm per week. A random sample of 40 shrubs has an average growth of 1.50cm per week with a standard deviation of 5cm. Is there overwhelming evidence to support the claim that the growth rate of the new shrub is less than 4cm per week at a 0.200 significance level?
Find the value of the test statistic. Round your answer to three decimal places, if necessary.

Answers

Answer 1

Answer:

Following are the answer to the given question:

Step-by-step explanation:

Following are the null and alternative Hypothesis:

[tex]Null \ Hypothesis: \mu = 4\\\\Alternative \ Hypothesis: \mu < 4[/tex]

Rejection Zone

This is left tailed test, for α = 0.2 and df = 39

[tex]critical\ value(t) = -0.851\\\\reject\ H_0 \ when = t < -0.851[/tex]

Testing statistic:

[tex]t = \frac{(\bar{x} - \mu)}{( \frac{s}{\sqrt{n}})}[/tex]

  [tex]= \frac{1.5 - 4}{\frac{5}{\sqrt{40}}}\\\\= \frac{-2.5}{\frac{5}{6.32}}\\\\= \frac{-2.5}{0.79}\\\\ = -3.162[/tex]

[tex]P-value = 0.0015[/tex]

P-value < 0.2, reject the null hypothesis.

Approach to the Rejection Zone:

The null hypothesis is rejected since the test statistic t is outside of the critical range value. Only at the 0.200 significance mark, there's significant evidence that its new shrub's growth rate is less than 4 cm per week.

Related Questions

In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find all of the possible values of the combined weights of the kittens.

Answers

3.4 x 7 = 23.8 ounces

3.3 x 7 = 23.1 ounces

3.2 x 7 = 22.4 ounces

3.1 x 7 = 21.7 ounces

3 x 7 = 21 ounces

and so on, use a calculator and go until hit 0.1 btw all these answers r written in bold. :)


Which is the correct answer ? 11 points.

Answers

Answer:

7 · 2 + 14k = 28

Step-by-step explanation:

Why your selected answer was incorrect:

So we are given that j is equal to 2 so lets put it in the equation we're given

7*2 + 14k = 28 This is one of the answers given so this must be the right answer

14 + 14k = 28

14 - 14 + 14k = 28 - 14

14k/14 = 14/14

k ≠ 2 k = 1

Point P is located on the segment between point A (1,4) and point D (7,13). The distance from A to P is twice the distance from
Pto D. What are the coordinates of point P?

Answers

Answer: Point P is at (3, 7)

Step-by-step explanation: the distance from point a to point B is 10.8. 10.8 divided by 3 is 3.6, so you have to find a point that 3.6 from point a. Using a graph, I found the answer to be (3,7)

Which description best summarizes the correlation between the calls made and the texts sent

Mm

Answers

Answer:

Weak positive

Step-by-step explanation:

From. Visual inspection of the scatter plot, the line of best fit will have a positive slope has values of x tends to increase with a corresponding increase in the value of y.

However, the points are scattered across the plotting area meaning that most of the points will be a bit farther away from the regression line. This means a weak correlation between the x and y variables will be obtained. Since the slope is positive, theb the relationship between the variables based on the scatterplot interpretation is a weak positive correlation.

Find the value of each variable in the parallelogram.
aº
b
101
a
b=

Answers

Answer:

a= 79°

b= 101°

Step-by-step explanation:

thats the rule of a parallelogram

PLEASEEEEEEEEEEEEEEEEEE HELP!!!!!!!!!

Answers

Answer:

12 Squared Units

Step-by-step explanation:

Top length: 4 Units

Side length: 3 Units


The probability of the car having 4 doors is 1/2
What does that mean?

(A)It is neither unlikely nor likely
(B)It is likely
(C)It is impossible.
(D)It is definite.

Answers

Answer:

(A)It is neither unlikely nor likely

Step-by-step explanation:

answer is b

hope this helps

please answers this questions PLEASE I NEED THE FAST please

Answers

Answer:

Not gonna do the whole thing for you for 5 points

Step-by-step explanation:

The formula for Circumference is C = 2πr or C = dπ

r (radius) is the length of halfway across the circle

d (diameter) is the length across the whole circle (also it's equal to 2r)

You can solve it with that info

Don't forget to round if you need to

Hilary can ride her bike 16.43 mph. How far can she ride in three hours?​

Answers

Answer:

49.29

Step-by-step explanation:

16.43x3=49.29

Please help!!!! Sine and cosine ratios

Answers

Answer: 40.9

Step-by-step explanation:

Given

angle given is [tex]23^{\circ}[/tex]

[tex]RC=16[/tex]

Using trigonometry

[tex]\Rightarrow \sin 23^{\circ}=\dfrac{RC}{PC}\\\\\Rightarrow \sin 23^{\circ}=\dfrac{16}{X}\\\\\Rightarrow X=\dfrac{16}{\sin 23^{\circ}}\\\\\Rightarrow X=40.948\approx 40.9[/tex]

Using cosine formula

[tex]\Rightarrow \cos 23^{\circ}=\dfrac{PR}{X}\\\\\Rightarrow PR=40.9\times \cos 23^{\circ}\\\Rightarrow PR=37.69\approx 37.7[/tex]

please tell me that *FIND THE SQAURE ROOT OF 1054729 BY DIVISION METHOD*.

Answers

Answer:*FIND THE SQAURE ROOT OF 1054729 BY DIVISION METHOD*.

Step-by-step explanation:

what? you said to tell you that

ayudenme por favor
es de algebra

Answers

Answer:

E

Step-by-step explanation:

Answer:
Option E is the answer!!!

Explanation:

Select the correct answer.
if f(t) = 2 - 4 and 9 (7)
= 2 – xż and g(x) = x2 – 9, what is the domain of g(x) = f(x)?
OA. (-0, 2] and [2, 0)
OB. [0, 4) and (4, )
Oc. (-0, 2] and [4, 0)
D. (-0, -2] and [2, )

Answers

Answer:

Option B will be your answe

Step-by-step explanation:

hope it helps....

These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Give your answer as a ratio, reduced to
simplest terms.
[?]
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.

Answers

2/10, i believe this is pretty self explanatory

which class has 40% girls

Answers

Answer:

C. 48 out of 120

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Antonio watches a movie that is 1 hour and 45 minutes long. Which number line could show when Antonio watches the movie?

Answers

Answer:

1st one

Step-by-step explanation:

Answer:

Bottom left

Step-by-step explanation:

Those I-ready diagnostics suck don't they?

does anyone know the answer for this?

Answers

Answer:

8 cm

Step-by-step explanation:

The area of the shaded portion is:

[tex]a = \pi \times (( {r1)}^{2} - {(r2}^{2})) [/tex]

A=39π cm^2

r1 is the radius of the large circle

r2=5 cm

So,

[tex]39\pi = \pi \times (( {r1)}^{2} - {5}^{2} ) \\ r1 = 8 \: cm[/tex]

Help what I don’t know what is 1 + 2

Answers

Answer:

answer: 1 + 2 = 3

answer: 1 + 2 = 3

Answer:

1+2=3

Step-by-step explanation:

it math

Jasmine gives a film rating of 8/10 which other review agrees with her score

Answers

Answer:

2/10 may be the correct awnser

Answer:

4/5

Step-by-step explanation:

8/10 = 4/5


᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ

Answers

Answer:

what do you mean by why?

Step-by-step explanation:

why why why why why??

Find the graph to the equation below plz 20 POINTS

Answers

The graph to answer is D because y=4x

Answer:

the last one option 4

Step-by-step explanation:

What are the odds of spinning red on the spinner shown?
Blue
Red
Green
Yellow
Red
Blue

Answers

Answer:

The answer in fractional form is 2/4, or 1/2

Step-by-step explanation:

The formula for odds is:

favorable outcomes/unfavorable outcomes

So, there are 2 reds (favorable) and 4 other colors (unfavorable)  =2/4

Answer: I am Going to say 1/2

3√7 please help I dont understand

Answers

What is log675 with base 5 × log 3 with base 3?
We have to calculate (log 675 to the base 5) × (log 3 to the base 3)

Note the following important points :

(1.) log 675 to the base 5

=> log 675 to the base ‘e’ / log 5 to the base ‘e’

=> ln 675 / ln 5

Since 675 = 5^2 × 3^3

=> ln 675 = ln [5^2 × 3^3]

=> ln (5^2) + ln (3^3)

=> 2 ln 5 + 3 ln 3

Hence, log 675 to the base 5

= ln 675 / ln 5

= [2ln 5 + 3ln 3] / ln 5

(2.) Similarly, log 3 to the base 3

=> Since the logarithm of any natural number 'x' to the base of same number 'x' is always 1 (since any natural number raised to the power '1′ is equal to the same number) ,

Thus, (log 3 to the base 3) = 1

Hence, our problem reduces to:

(log 675 to the base 5) × (log 3 to the base 3)

=> [(2ln 5 + 3ln 3) / ln 5] × (1)

=> (2ln 5 + 3ln 3) / ln 5

=> So we only require the values of natural logarithm of 3 and 5 :)

We should remember these values, or we can always use log table.

Since ln 3 = 1.098

and ln 5 = 1.609

=> 2ln 5 = 2(1.609) = 3.218

=> 3ln 3 = 3(1.098) = 3.294

Hence,

solution : (3.218 + 3.294) / 1.609

=> 6.512 / 1.609

=> 4.047

GLAD TO HELP YOU ;))

PEMDAS" notes and Integer rules
*
What is the value of this expression?
(6.3D Lesson 1)
-6. (-2 + 5)
A 42
B -18
с
18
D Not here

Answers

Answer:

B

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

First we start with brackets

(-2+5)= 3

Now

-6×3=-18

Jasmine spent 30$ on supplies to make 60 cupcakes for a bake sale.jasmine wants to have a profit of more than 90$.Write an inequality to find the price,p jasmine could charge for each cupcake.
(i need to find what inequality finds the answer)
ALL MY 100 POINTS FOR HELP PLEASE!!

Answers

Answer:

$1.50

Step-by-step explanation:

What is the value of x in triangle PQR below?
Q
389
489
R
[Not drawn to scale)
88
0940
1329
1420
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

Hello! answer: x = 94

Step-by-step explanation:

Triangles add up to 180 degrees so we just add up the two measures we do have so 48 + 38 = 86

Now we subtract that from 180 to find x so

180 - 86 = 94 So 94 is x Hope that helps!

3
Select the correct answer.
Which value is needed to determine a confidence interval for a sample mean?
O A.
the sample proportion
O B.
the standard error of the mean
O C.
the margin of error for the proportion
OD
the population size
Reset
Next

Answers

Answer:

A

Step-by-step explanation:

I think I am not sure I just started to do this in school...

good morning everyone how are you guys

i just want to say today is my science exam
soo if u helped me

that will be nice <3

Answers

I’m really tired but am doing good. How about you:)

Answer:

♥Love You♥ DUDE

Step-by-step explanation:

during a nature walk jayden identified 20 animals and plants.1/4 of what he identified were animals.how many were animals?

Answers

the answer would be 5
Explanation: 1/4=.25 and .25x20= 5

HELP! ILL GIVE BRANLIEST :(

Answers

Answer:

B

Step-by-step explanation:

since x is GREATER than -25, the shaded part has to be on the right of -25

Answer: B

Step-by-step explanation:

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