Rewrite the expression as a multiple of a sum of two numbers with no common factor. 9+6

Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treat

stiks02 [169]

Answer:

Part A

b. 14.6 ± 7.38

Part B

b. 3.43

Part C

a. P-value < 0.01

Part D

b. There is sufficient evidence to reject the null hypothesis

Step-by-step explanation:

Part A

The given data are;

The number of seedlings in the field = 20

The number of seedlings selected to receive herbicide A = 10

The number of seedlings selected to receive herbicide B = 10

The height in centimeters of seedlings treated with Herbicide A, $\overline x _1$ = 94.5 cm

The standard deviation, s₁ = 10 cm

The height in centimeters of seedlings treated with Herbicide B, $\overline x _2$ = 109.1 cm

The standard deviation, s₂ = 9 cm

The 90% confidence interval for μ₂ - μ₁, is given as follows;

$\left (\bar{x}_{2}- \bar{x}_{1} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}$

The critical-t at 95% and n₁ + n₂ - 2 degrees of freedom is given as follows;

The degrees of freedom, df = n₁ + n₂ - 2 = 10 + 10 - 2 = 18

α = 100% - 90% = 10%

∴ For two tailed test, we have, α/2 = 10%/2 = 5% = 0.05

$t_{(0.025, \, 18)}$ = 1.734

$C.I. = \left (109.1- 94.5 \right )\pm 1.734 \times \sqrt{\dfrac{10^{2}}{10}+\dfrac{9^{2}}{10}}$

C.I. ≈ 14.6 ± 7.37714603353

The 90% C.I. ≈ 14.6 ± 7.38

b. 14.6 ± 7.38

Part B

With the hypotheses are given as follows;

H₀; μ₂ - μ₁ = 0

Hₐ; μ₂ - μ₁ ≠ 0

The two sample t-statistic is given as follows;

$t=\dfrac{(\bar{x}_{2}-\bar{x}_{1})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}$

$t-statistic=\dfrac{(109.1-94.5)}{\sqrt{\dfrac{10^{2} }{10}+\dfrac{9^{2}}{10}}} \approx 3.43173361147$

The two sample t-statistic ≈ 3.43

b. 3.43

Part C

From the t-table, the p-value, we have, the p-value < 0.01

a. P-value < 0.01

Part D

Given that a significance level of 0.05 level is used and the p-value of 0.01 is less than the significance level, there is enough statistical evidence to reject the null hypothesis

b. There is sufficient evidence to reject the null hypothesis.

4 0

3 years ago

The table shows the results of a class survey about pets. Suppose 53 students were surveyed. About how many students have one pe

kaheart [24]

I think the answer would be

3 0

3 years ago

The sum of three consecutive integers is -206 . What is the largest integer?

solniwko [45]

Answer:

Can' possible......

Step-by-step explanation:

Let suppose the numbers are:

x

x + 1

x + 2

Now according to given condition:

x + x +1 + x+ 2 = -206

By adding we get:

3x + 3 = -206 Subtracting 3 from both sides:

3x + 3 - 3 = -206 -3

Both terms on right side have negative sign so we will add them. (answer will have negative sign.)

3x = -209

Dividing both sides by 3:

x = -209/3

x = -69.6666

that is not an integer so the question is wrong.

I hope it will help you!

8 0

3 years ago

Mr. Babe used to work at a local furniture store.

8090 [49]

A. Mr. Babe made a commission of $14.85

B. He makes $15.75 per hour after the raise.

Step-by-step explanation:

A. While he worked there, Mr. Babe earned 3% on how much he sells. If he sold $495 couch, how much commission did he make?

Worth of sold couch = $495

Commission = 3%

Amount of commission = 3% of total worth sold

Amount of commission = $\frac{3}{100}*495$

Amount of commission = $\frac{1485}{100}=\$14.85$

Mr. Babe made a commission of $14.85

B. On top of his commission, Mr. Babe made $15 per hour. He eventually got a raise with an increase of 5% per hour. After the raise, how much did he make per hour?

Amount earned per hour = $15

Increase = 5%

As the increment is on per hour amount, therefore,

Amount of increase = 5% of per hour amount

Amount of increase = $\frac{5}{100}*15=\frac{75}{100} = \$0.75$

New amount per hour = Per hour amount + amount of increase

New amount per hour = 15+0.75 = $15.75

He makes $15.75 per hour after the raise.

Keywords: percent, addition

Learn more about addition at:

#LearnwithBrainly

7 0

3 years ago

What is the mean of 4,6,8,20, 12?

Delvig [45]

Answer:

add them all up which is 40 then divide by the amount of numbers there are. in this case 5, so 40 ÷ 5 = 8

6 0

3 years ago

Read 2 more answers