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lara [203]
2 years ago
9

A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual

containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost, 12 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage. Let p1 be the actual proportion of all tomato plants of this variety that would experience damage under the kelp treatment, and let p2 be the actual proportion of all tomato plants of this variety that would experience damage under the no-kelp treatment. Is there evidence of a decre
Mathematics
1 answer:
atroni [7]2 years ago
8 0

Complete question is;

A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost, 12 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage. Let p1 be the actual proportion of all tomato plants of this variety that would experience damage under the kelp treatment, and let p2 be the actual proportion of all tomato plants of this variety that would experience damage under the no-kelp treatment. Is there evidence of a decrease in the proportion of

tomatoes suffering frost damage for tomatoes sprayed with kelp extract? To determine

this, yo u test the hypotheses H0: p1 = p2, Ha: p1 < p2. The p - value of your test is

A) greater than 0.10.

B) between 0.05 and 0.10.

C) between 0.01 and 0.05.

D)between 0.001 and 0.01.

E) below 0.001.

Answer:

B) between 0.05 and 0.10.

Step-by-step explanation:

We are given;

Number of plants in group that exhibited damage = 12

Number of group 1 plants; n₁ = 50

Number of plants in group 2 that exhibited damage = 18

Number of group 2 plants; n₂ = 50

Proportion of plants in group 1 that exhibited damage; p₁^ = 12/50 = 0.24

Proportion of plants in group 2 that exhibited damage; p₂^ = 18/50 = 0.36

Pooled proportion; p¯ = (12 + 18)/(50 + 50) = 0.3

q¯ = 1 - p¯

q¯ = 1 - 0.3 = 0.7

Z-score will be;

z = ((p₁^ - p₂^) - 0)/√((p¯•q¯)×((1/n₁) + (1/n₂))

Plugging in the relevant values;

z = (0.24 - 0.36)/√((0.3 × 0.7) × ((1/50) + (1/50))

z = -0.12/0.092

z = -1.3

From z-distribution table attached, we have;

p-value = 0.0968

Correct answer is option B.

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Answer:

50 units

Step-by-step explanation:

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4 0
2 years ago
Tasha eats half her snack and gives the other half to her two best friends for them to share equally. What portion of the whole
kolbaska11 [484]

Answer: The answer to the question "What portion of the whole snack does each friend get?" is: Tasha 1/2 of the snack, her friends 1/4 of the snack each one.

Step-by-step explanation:

The complete snack is 1. If you say that Tasha eats half of the snack that means that you must divide 1 in 2 parts. Then, that gives us 1/2 left.

Tasha gives 1/2 of the snack to her 2 friends and shares it equally. That means that again you must divide it in 2 parts. That gives us:

1/2 ÷ 2 = 4

When you divide a fraction (1/2) into an entire number (2) you must take into account that there is a 1 below the entire number (2). Having that in mind, the next step is to multiply in cross: the 1 above the 2 (1/2) will multiply the 1 below the 2 (2/1), And the 2 below the 1 (1/2) will multiply the 2 above the 1 (2/1). The result of the first multiplication will be the number above the fraction that means 1, and the result of the second multiplication will be the number below the fraction that means 4. The final result is 1/4 (look in the picture attached).

To conclude, each of her friends received 1/4 of the snack.

Attached you may find a picture of the parts of the snack that each friend received.

7 0
3 years ago
If a thermometer indicates 30 degrees Celsius, what is the temperature in degrees Fahrenheit?
g100num [7]
Question #1
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4 0
3 years ago
A 12 pack of diet soda has dimensions 4.75in and 28.5in whats the volume of the 12 pack round to the nearest ten
ExtremeBDS [4]

Answer:

Volume = 643.0\ in^3

Step-by-step explanation:

Given

Dimension: 4.75in, 4.75in and 28.5in

<em>[The complete dimension is missing from the question]</em>

Required

Calculate the volume

The volume is calculated as thus:

Volume = 4.75in * 4.75in * 28.5in

Volume = 643.03125in^3

Volume = 643.0\ in^3 --- approximated

6 0
3 years ago
Suppose that the regression equation y = 16.99 + 0.32 x1 + 0.41 x2 + 5.31 x3 predicts an adult’s height (y) given the individual
umka21 [38]

Answer:

Step-by-step explanation:

It is given that the regression equation

y = 16.99 + 0.32 x_1 + 0.41 x_2 + 5.31 x_3

predicts an adult’s height (y) given the individual’s mother’s height (x1), his or her father’s height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0).

The coefficient of x1 = 0.32 represents the increase in height of the child due to one inch increase in mother.

Similarly coefficient of x2 = 0.42 represents the increase in height of the child due to one inch increase in father.

and coefficient of x3 = 5.31 represents the increase in height of the child due to being a male than a female.

8 0
3 years ago
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