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Sunny_sXe [5.5K]
3 years ago
15

A.

Mathematics
1 answer:
matrenka [14]3 years ago
8 0

Answer:

net income = (cost of goods sold) - (net sales) - (operating expenses)

Step-by-step explanation:

because income is based on sales, thus the cost of how much you got  minus all the expenses must be the net income.

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Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a part
Gnoma [55]

Answer:

A) Null and alternative hypothesis

H_0: \mu=2\\\\H_a:\mu\neq 2

B) M = 2.2 hours

C) s = 0.52 hours

D) P-value = 0.255

E) At a significance level of 0.05, there is not enough evidence to support the claim that the mean tree-planting time significantly differs from two hours.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the mean tree-planting time significantly differs from two hours.

Then, the null and alternative hypothesis are:

H_0: \mu=2\\\\H_a:\mu\neq 2

The significance level is 0.05.

The sample has a size n=10.

The sample mean is M=2.2.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.52.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.52}{\sqrt{10}}=0.1644

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.2-2}{0.1644}=\dfrac{0.2}{0.1644}=1.216

The degrees of freedom for this sample size are:

df=n-1=10-1=9

This test is a two-tailed test, with 9 degrees of freedom and t=1.216, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=2\cdot P(t>1.216)=0.255

As the P-value (0.255) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the mean tree-planting time significantly differs from two hours.

<u><em>Sample mean and standard deviation:</em></u>

<u><em /></u>

<u><em /></u>M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{10}(1.7+1.5+2.6+. . .+2.3)\\\\\\M=\dfrac{22}{10}\\\\\\M=2.2\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{9}((1.7-2.2)^2+(1.5-2.2)^2+(2.6-2.2)^2+. . . +(2.3-2.2)^2)}\\\\\\s=\sqrt{\dfrac{2.4}{9}}\\\\\\s=\sqrt{0.27}=0.52\\\\\\

3 0
3 years ago
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