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tensa zangetsu [6.8K]
2 years ago
15

The mean weight of cherry tomatoes on a farm is about 57 grams. The farmer is interested in testing a new type of fertilizer. Th

ey use the fertilizer on a particular patch and after the harvest, the mean weight of the tomatoes is 62 grams. They perform a t-test, with the null hypothesis being that the mean of all tomatoes grown with the new fertilizer is equal to 57 grams, and the alternative is that the mean is greater than 57 grams. There is a chance that they will mistakenly conclude the fertilizer improves the size of tomatoes when, in fact, it does not and they just got lucky with this particular crop. They wish to make sure the probability of making this mistake is no more than 8%. Below are four different p-values that they might get from their analysis. For which p-value should they reject the null hypothesis?
a. 0.10
b. 1.00
c. 0.15
d. 0.07
Mathematics
1 answer:
Nookie1986 [14]2 years ago
6 0

Answer:

The weight of a tomato depends on the variety of tomato. There are cherry, plum, grape, roma, and beef tomatoes of various sizes. The following tables shows different types of tomatoes, along with the average weight (in grams and ounces), the number of tomatoes per kilogram, and the number of tomatoes per pound.

Step-by-step explanation:

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The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

<h3>What is the area of a heptagon?</h3>

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)

Here, (<em>a</em>) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Learn more about the area of a heptagon here;

brainly.com/question/26271153

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A textbook store sold a combined total of 368 psychology and sociology textbooks in a week. The number of psychology textbooks s
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A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (the Wall Street Journal, May
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The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328

<h3>How to determine the probability?</h3>

The given parameters are:

  • Sample size, n = 100
  • Population proportion, p = 82%

Start by calculating the mean:

\mu = np

\mu = 100 * 82\%

\mu = 82

Calculate the standard deviation:

\sigma = \sqrt{\mu(1 - p)

\sigma = \sqrt{82 * (1 - 82\%)

\sigma = 3.84

Within ± 0.02 of the population proportion are:

x_{min} = 82 * (1 - 0.02) = 80.38

x_{max} = 82 * (1 + 0.02) = 83.64

Calculate the z-scores at these points using:

z = \frac{x - \mu}{\sigma}

So, we have:

z_1 = \frac{80.36 - 82}{3.84} = -0.43

z_2 = \frac{83.64 - 82}{3.84} = 0.43

The probability is then represented as:

P(x ± 0.02) = P(-0.43 < z < 0.43)

Using the z table of probabilities, we have:

P(x ± 0.02) = 0.3328

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