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DedPeter [7]
3 years ago
11

A brochure claims that the average maximum height for a certain type of plant is 0.7 m. A gardener suspects that this is not acc

urate locally due to variation in soil conditions, and believes the local height is shorter. A random sample of 40 mature plants is taken. The mean height of the sample is 0.65 m with a standard deviation of 0.20 m. Test the claim that the local mean height is less than 0.7 m using a 5% level of significance.
Mathematics
1 answer:
larisa [96]3 years ago
4 0

Answer:

As Z, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

Step-by-step explanation:

1. Relevant data:

\mu=0.70\\N=40\\\alpha=0.05\\X=0.65\\s=0.20

2. Hypotesis testing

H_{0}=\mu=0.70

H_{1} =\mu< 0.70

3. Find the rejection area

From the one tail standard normal chart, whe have Z-value for \alpha=0.05 is 1.56

Then rejection area is left 1.56 in normal curve.

4. Find the test statistic:

Z=\frac{X-\mu_{0} }{\sigma/\sqrt{n}}

Z=\frac{0.65-0.70}{0.20/\sqrt{40}}\\Z=-1.58

5. Hypotesis Testing

Z_{\alpha}=1.56\\Z=-1.58

-1.58

As Z, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

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kondor19780726 [428]

Answer:

x≈231.123

Step-by-step explanation:

1) Make a ratio 314/2512= x/1584

2) Use the concept of cross multiplication and get 314*1584=2512x

3) Use Algebra:

314*1584=497,376

497,376/2152=2512x/2152

x≈231.123

8 0
3 years ago
Which of the following equations, where ddd is distance in miles and ttt is time in hours, represents a speed that is less than
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Step-by-step explanation:

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7 0
2 years ago
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The length of an average cat's body is 45 centimeters. How many millimeters are equivalent to 45 centimeters?
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Answer:

450

Step-by-step explanation:

1 centimeter is equivalent to 10 millimeters . Therefore, 45 centimeters will be equivalent to;

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3 years ago
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WORTH 50 points pls answer.<br> The two polygons are similar. Find the values of x and y
Digiron [165]

Answer:

y = 120

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Step-by-step explanation:

Given polygons are parallelograms.

In parallelograms, consecutive angles are supplementary which means their sum is equal to 180.

Since two parallelograms are similar:

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To find the value of x:

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\frac{x+4}{22} = \frac{12}{18} cross multiply fractions

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6 0
1 year ago
Someone please help me
allsm [11]

Answer:

Solutions: x = \frac{-3}{ 4} + i \sqrt{39},  x = \frac{-3}{4} - i \sqrt{39}

Step-by-step explanation:

Given the quadratic equation, 2x² + 3x + 6 = 0, where a =2, b = 3, and c = 6:

Use the <u>quadratic equation</u> and substitute the values for a, b, and c to solve for the solutions:

x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}

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x = \frac{-3 +/- \sqrt{-39} }{4}

x = \frac{-3 + i \sqrt{39} }{4}, x = \frac{-3 - i \sqrt{39} }{4}

Therefore, the solutions to the given quadratic equation are:

x = -\frac{3}{ 4} + i \sqrt{39} ,   x = -\frac{3}{4} - i \sqrt{39}

4 0
2 years ago
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