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Anettt [7]
3 years ago
6

If a < b where on the line will a appear

Mathematics
1 answer:
kow [346]3 years ago
8 0
Less than were the b is.
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A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are
lidiya [134]

Answer:

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Step-by-step explanation:

Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So

H_0: \mu_1 - \mu_2 = 0

H_a: \mu_1 - \mu_2 > 0

In which \mu_1 is the mean pine trees height while \mu_2 is the mean spruce trees height.

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

Mean trunk diameter (cm) 35 30:

Pine trees - 35

Spruce trees - 30

The sample mean is given by the subtraction of the means. So

X = 35 - 30 = 5

Sample Size 40 80

Population variance 160 160

This means that the standard error for each sample is given by:

s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2

s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}

The standard error of the difference is the square root of the sum squared of the standard error of each sample.

s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{5 - 0}{2.4495}

z = 2.04

Pvalue of the test:

Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.

Looking at the z-table, z = 2.04 has a pvalue of 0.9793.

1 - 0.9793 = 0.0207

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

8 0
3 years ago
5.
stellarik [79]

Answer:

c.

Step-by-step explanation:

Move the constant to the right side and the sign

0.5x=26-6

Calculate

0.5x=26-6=20 >>> 0.5x=20

divide both sides of by the equation 0.5

0.5x=20 >>> x=40

4 0
3 years ago
Tony buys a CD that is priced at $13.59. He has a coupon for $1.85 off. He pays with a $20 bill. Which is the best whole number
sweet-ann [11.9K]
No he would get back $4.56. Start with $20 -13.59-1.85=4.56
3 0
3 years ago
If f(x) = x2, find the inverse of f.
jolli1 [7]

Answer:

inverse -1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Tina is growing sunflowers in her garden. The flowers are currently 6 inches tall each week x, they will double in size . Which
Alika [10]
For this case we have an equation of the form:
 y = A (b) ^ x
 Where,
 A: initial height
 b: growth rate
 x: time
 Substituting values we have:
 y = 6 (2) ^ x
 Answer:
 
An equation that best represent how tall the sunflower will b in x weeks is:
 
y = 6 (2) ^ x
6 0
3 years ago
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