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yarga [219]
2 years ago
11

A biologist was interested in determining whether sunflower seedlings treated with and an extract from Vinca minor roots resulte

d in a lower average height of sunflower seedlings that the standard height of 15.7 cm. The biologist treated a random sample of 33 seedlings with the extract and subsequently measured the height of those seedlings. At the 0.01 significance level, is there evidence that the true average height of the seedlings treated with an extract from Vinca minor roots is less than 15.7 cm?
Height
15.5
15.8
15.7
15.1
15.1
15.5
15.2
15.7
15.8
15.4
16.2
15.5
16.2
15.5
15.4
16.3
14.9
15.3
15.1
16.1
15.3
15.4
15.1
15.3
14.6
15.1
15.0
15.3
15.8
15.5
14.8
15.2
14.8

a. State the null and alternative hypotheses.
b. Report the value of the test statistic. Round answer to 2 decimal places. (Either calculate or use software such as minitab)
c. Using the p-value, do you reject the null hypothesis or fail to reject the null hypothesis? Explain your decision.
d. Based on your decision in part (c), write a conclusion within the context of the problem.
Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
4 0

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : μ = 15.7

H1 : μ < 15.7

This is a one sample t test :

Test statistic = (xbar - μ) ÷ (s/√(n))

n = sample size = 33

Using calculator :

The sample mean, xbar = 15.41

The sample standard deviation, s = 0.419

Test statistic = (15.41 - 15.70) ÷ (0.419/√(33))

Test statistic = - 3.976

Using the Pvalue calculator :

Degree of freedom, df = n - 1 ; 33 - 1 = 32

Pvalue(-3.976, 32) = 0.000187

Decison region :

Reject H0 if Pvalue < α

Since Pvalue < α ; we reject H0

There is significant evidence to conclude that the true average height of the seedlings treated with an extract from Vinca minor roots is less than 15.7 cm.

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nignag [31]

Answer:

=25a6−36a4

Step-by-step explanation:

=(5a3+−6a2)(5a3+6a2)

=(5a3)(5a3)+(5a3)(6a2)+(−6a2)(5a3)+(−6a2)(6a2)

=25a6+30a5−30a5−36a4

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7 0
3 years ago
What would a monthly payment be on a purchase of a $10,000 car at a 5.9% for 4 years?
gizmo_the_mogwai [7]
The current monthly pay can be calculated as follows;
A=p(1/r/100)^n
A=10000
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10000=p(1+0.5/100)^(4*12)
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5 0
3 years ago
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Help please, I'm stuck on this :/
nlexa [21]

Do you have a calculator? you can solve it by substituting x.

y=16x^2

0: y = 16(0)^2 = 16(0) = 0

(x = 0 , y = 0)

0.5: y = 16(0.5)^2 = 16(0.25) = 4

(x = 0.5 , y = 4)

1: y = 16(1)^2 = 16(1) = 16

(x = 1 , y = 16)

1.5: y = 16(1.5)^2 = 16(2.25) = 36

(x = 1.5 , y = 36)

2: y = 16(2)^2 = 16(4) = 64

(x = 2 , y = 64)

2.5: y = 16(2.5)^2 = 16(6.25) = 100

(x = 2.5 , y = 100)

3 : y = 16(3)^2 = 16(9) = 144

(x = 3 , y = 144)

4: y = 16(4)^2 = 16(16) = 256

(x = 4 , y = 256)

if you multiply a negative number by itself, it will become positive. So, -4, -3, -2.5, -2, -1.5, -1, -0.5 will be the same as the positive 4, 3, 2.5, 2, 1.5, 1, 0.5.

I'm not sure about the pattern, but if you graph it, it'll be symmetrical across the y-axis.

8 0
3 years ago
Help!! - 2.10 - (4 points)
Brrunno [24]

Answer:

Approach: Difference of Squares Pattern

4 {x}^{2}  - 25 = (2x - 5)(2x + 5)

Step-by-step explanation:

The given binomial is:

4 {x}^{2}  - 25

We can rewrite to obtain:

{(2x)}^{2}  -  {5}^{2}

This is a difference of two squares, so we will factor using difference of squares pattern.

Recall that:

{a}^{2} -  {b}^{2}   = (a + b)(a - )

If we let

a = 2x

and

b = 5

Then we can factor the given binomial to obtain:

{2x}^2 -  {5}^{2}  = (2x - 5)(2x + 5)

\therefore4 {x}^{2}  - 25 = (2x - 5)(2x + 5)

6 0
3 years ago
(50 POINTS FOR THE FIRST ANSWER)
klasskru [66]

Answer: 16.13

Step-by-step explanation: 40 divided by $2.48

5 0
3 years ago
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