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 3cm per week. A random sample of 45 shrubs has an average growth of 1.50cm per week with a standard deviation of 3cm. Is there overwhelming evidence to support the claim that the growth rate of the new shrub is less than 3cm per week at a 0.050 significance level?
Find the value of the test statistic. Round your answer to three decimal places, if necessary.

Answers

Answer 1

Answer:

Test statistic = - 3.354

We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.

Step-by-step explanation:

H0 : μ = 3

H1 : μ < 3

The test statistic = (xbar - μ) / (s/ √n)

Xbar = 1.50

μ = 3

s = 3

n = 45

Test statistic = (1.5 - 3) / (3/ √45)

Test statistic = - 1.5 / 0.4472135

Test statistic = - 3.354

Pvalue, using the Pvalue from Z score calculator :

Pvalue = 0.00039826

α = 0.05

Pvalue < α ; We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.


Related Questions

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Desiree M&Clay
Consumer Mathematics A: Calorie Proportions - Assess It
Contents
1 Course Ove
> Course Res
> Shopping
Nutrition
All changes saved
3. If 10 hot wings have 700 calories and Ben ate 25 hot wings at dinner, how many
calories did he eat?
> Lesso

Answers

700%10=70

70•25=1,750 Calories

Brainliest would be cool, hope this helped

please help me with this question:(​

Answers

This triangle is a SAS triangle.
So you use Law of Cosines to calculate the unknown side. (b)
Answer: 3.88

What is the value of the interior angle

Answers

Answer:

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link: bit.[tex]^{}[/tex]ly/3gVQKw3

Step-by-step explanation:

What is the difference

Answers

Answer:

4

Step-by-step explanation:

Ben has 21 votes and Scott has 17

21 - 17 = 4

:) please help me. Thank you

Answers

Answer:

it's the 3rd one

Step-by-step explanation:

i used m ath way

2m^2 - 4m/ 2(m - 2) simplified

Answers

Answer:

=2m²-4m/2(m-2)

=2m(m-2)/2(m-2)

=m is the correct answer

2m^2 - 4m * (m-2)
2m^2 - 2m*2 + 4m
4m

Helpppp lol pleaseeeeee

Answers

Answer: i thinks it's D. none of the above because they are all angles?

Step-by-step explanation:

The answer:

Your answer is D


Hope it helps..

Find the third side in simplest radical form:
33
56

Answers

Answer:

65

Step-by-step explanation:

33^2 + 56^2=c^2

4225 = c^2

square root both

65 = c

The answer above me!!! 65

Help pls will give brainlist make sure to show work if needed

Answers

Answer:

11

Step-by-step explanation:

Just make your dot plot so that the amount of dots corresponding to the number is the amount of times the number shows in the box. :)

Find the volume of a cylinder with a radius of 6cm and height of 8cm

Answers

Answer: 904.779

Step-by-step explanation:

v = pi x radius^2 x height

Answer:

904.78 cm^3

Step-by-step explanation:

The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3

Maria and Lamar are playing a game. Maria noticed that the digits of her
score could be reversed to form Lamar's score. Maria's score is 18 more
than Lamar's score. Maria's score is a multiple of 5. What is Maria's score?

Answers

Answer:

20

Step-by-step explanation:

because 20 reversed is 02 and plus 18 is 20 and 20 is a multiple of 5

Answer:

The answer is 20!

Step-by-step explanation:

Had to do this on a sheet of paper.

Hope I helped you even though this is really old. I just need to answer 5 questions for points

Help me pls becks or anyone I need to pass

Answers

Answer:

area of 105° segment = 74.2 in²

Step-by-step explanation:

area of entire circle = πr² = (3.14)(9²) = 254.34 in²

area of 105° segment = (105/360)(254.34) = 74.2 in²

4 3/12 + 1 4/12 = (make sure you simplify the fraction)

Answers

Answer:

5 7/12 but it's 67/12 as an improper fraction

Step-by-step explanation:

4 3/12 + 1 4/12

First add the fractions:
Because they have the same denominator, you won’t have to change anything.

Add the numerators:
3+4= 7 So... 7/12

Now the whole numbers:
1+4=5

Put the two together:
5+7/12= 5 7/12

Answer: 5 7/12


wat was the greatest number of gold coins that a scavenger collected

Answers

Answer: 9

Step-by-step explanation:

Yesterday, Fairlane got 1 1/2 inches of rain. It got 3/4 of that rain before 3:00 P.M. How much rain did Fairlane get before 3:00 P.M.

Answers

Answer:

3/4

Step-by-step explanation:

1 1/2

3/2 make this 6/4 so you can have a common denominator

3/4

Then you subtract and boom 3/4 it also says in the problem lol

If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t2.
(a) Find the average speed over the given time intervals.
(i) [1, 2] m/s
(ii) [1, 1.5] m/s
(iii) [1, 1.1] m/s
(iv) [1, 1.01] m/s
(v) [1, 1.001] m/s
(b) Estimate the speed when t = 1. m/s.

Answers

Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s

(b) 54.14 m/s

Step-by-step explanation:

The average speed over the given time interval [a,b]: = [tex]\frac{y(b)-y(a)}{b-a}[/tex]

Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by [tex]y = 56t − 1.86t^2.[/tex]

(a)

(i) average speed = [tex]\frac{y(2)-y(1)}{2-1}[/tex]

[tex]=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}[/tex]

[tex]=50.42[/tex] m/s

(ii) average speed = [tex]\frac{y(1.5)-y(1)}{1.5-1}[/tex]

[tex]=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}[/tex]

[tex]=51.35[/tex]m/s

(iii) average speed = [tex]\frac{y(1.1)-y(1)}{1.1-1}[/tex]

[tex]=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}[/tex]

[tex]=52.094[/tex]m/s

(iv) average speed = [tex]\frac{y(1.01)-y(1)}{1.01-01}[/tex]

[tex]=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}[/tex]

[tex]=52.2614 [/tex]m/s

(v) average speed = [tex]\frac{y(1.001)-y(1)}{1.001-01}[/tex]

[tex]=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}[/tex]

[tex]=52.27814 [/tex]m/s

(b) [tex]y(1)=56(1)-1.86(1)^2[/tex]

[tex]=56-1.86[/tex]

[tex]= 54.14[/tex] m/s

11X - 3/6 = 5 Solve for X

Answers

Answer:

X = 1/2

Step-by-step explanation:

Brian had 42 class fare tickets to sell he sold 5/6 of the tickets. How many tickets did Brian and sell.​

Answers

Answer:

35

Step-by-step explanation:

What is the answer to this problem?

Answers

Answer:

5 2/3

Step-by-step explanation:

just trust me

Answer:

option b 5.6 is the correct answer

Write the coordinates of the vertices after a reflection across the line y = 4

A(-9,1) -> A’( )
B(-4,1) -> B’( )
C(0,4) -> C’( )
D(-5,4) -> D’ ( )

Answers

A'(-9,4)
B'(-4,4)
C'(0,-4)
D'(-5,-4)

Help pleaseee pretty please I will mark you brainliest. NO LINKS OR I WILL REPORT YOU. PLEASE GIVE EXPLANATION.pretttty pleaseee this TIMED

Answers

Answer:

A, B, and E

Step-by-step explanation:

Those are correct.

Find the distance between the points (7,-5) and(2,7)

Answers

Answer:

13

Step-by-step explanation:

[tex] \sqrt{ {(7 - 2)}^{2} + {( - 5 - 7)}^{2} } = 13[/tex]

A line is parellel to y=3x+2 and intersects the point (2,9). What is the equation of this parellel line

Answers

Answer: y= -3x

Step-by-step explanation:

Use the slope-intercept form to find the slope.

m = −3

To find an equation that is parallel to y = −3x + 2, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

(0,0)

m = −3

Using the point-slope form

y − y1 = m (x − x1), plug in

m = −3, x1 = 0, and y1 = 0.

y − (0) = (−3) (x−(0))

Solve for y

y = −3x

Answer:

y=3x+3

Step-by-step explanation:

(2,9)

x=2

y=9

-Slot these numbers into the equation y=mx+c

-Solve for c

y=3x+c

9=3(2)+c (We have substituted y for 9 and x for 2)

-Solve

9=6+c

(rearrange)

c+6=9

c=9-6

c=3

We have found our y-intercept (c)

Add this value into the original equation (replace the other y-intercept with your new value)

y=3x+3

If test scores of 65 and 75 were added to the set, what would happen to the mean of 75,95,90,95,60,95,75,95,90

Answers

Answer:

82.7

Step-by-step explanation:

Answer: the answer is that the mean would become smaller.

Step-by-step explanation: if you have the original 9 values, the mean is 85.5 repeating. Adding 65 and 75 to the data set changes the mean to 82.72 repeating.

Hope this helps! Please give brainliest ;)

what is 7 times 5 plz help

Answers

7 apples times 5 tomato's equal 35 potato's!

Answer:

it is a simple question and easy to learn

Step-by-step explanation:

it's 35 because if you add 5+5+5+5+5+5+5=35 it will equal the same answer as 7x5=35.

Column I Column II Sin-1 1 / a. The number in Column I is greater. b. The number in Column II is greater. c. The two numbers are equal. d. The relationship cannot be determined using the given information.

Answers

Answer:

Col6umn is Column3 so Colum1n is Colum6n so=Column is Column2

Step-by-step explanation:4

A company makes bicycles in two sizes. The smaller bicycle weighs 18.5 pounds. The larger bicycle weighs 1 1/4 times as much as the smaller bicycle. How many pounds does the larger bicycle weigh?​

Answers

Answer:

[tex] \displaystyle23.125 \: \text{pounds}[/tex]

Step-by-step explanation:

we are given that,

the weight of a smaller bicycle is 18.5 poundsthe weight of a larger bicycle is 1¼ times as much as the smaller bicycle

in order to figure out the weight of the larger bicycle we can consider using equation

let the weight of the larger bicycle be L

according to the second condition

we acquire

[tex] \displaystyle L = 18.5 \times 1\frac{1}{4} [/tex]

to simplify the mixed fraction to improper fraction we can use the formula given by

[tex] \displaystyle \rm c\frac{a}{b} \xrightarrow{ \text{improper fraction}} \frac{b \times c + a}{b} [/tex]

by using the formula we get

[tex] \displaystyle L = 18.5 \times \frac{5}{4} [/tex]

simplify multiplication:

[tex] \displaystyle L =\frac{92.5}{4} [/tex]

simplify division:

[tex] \displaystyle L =23.125[/tex]

hence,

the larger bicycle weighs 23.125 pounds

There are 20 students in the class. I counted 8 girls. What percent are boys?

Answers

Answer:

60%

Step-by-step explanation:

20-8=12

12÷20=0.6

0.6×100=60%

Kate is 5 feet 2 inches tall.

Alice is 1.57 metres tall.

Alice says that she is taller than Kate.

Use the conversions below to decide if Alice is correct.

12 inches = 1 foot

1 inch = 2.5 centimetres


if someone could help me with this it would be really helpful

Answers

Answer:

Alice is wrong kate is taller than Alice

Step-by-step explanation:

because Alice is 5'1 and Kate is 5'2


Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation
Slope = 4, passing through (5,3)

Answers

Answer:

y = 4x - 17

Step-by-step explanation:

1.  (y - y1)=m(x - x1)      point-slope formula:  slope = 4

2.  (y - 3) = 4 (x - 5)     substitute x and y values:  (5, 3)

3.  y - 3 = 4x - 20        simplify

4.  y = 4x - 20 + 3       rearrange

5.  y = 4x -17               solve

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