Pencils sells for 98 cents per dozen. how much more per pencils

A tree is 15 feet tall. A bird is sitting on the grass 8 feet away from the tree. How far, in feet, will the bird have to fly to

vova2212 [387]

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4 0

3 years ago

Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Constr

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

Hello!

Full text:

Listed below are amounts of court income and salaries paid to the town justice. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P value using α = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines?

Court Income: 65.0, 402.0, 1567.0, 1132.0, 273.0, 251.0, 112.0, 156.0, 34.0

Justice Salary: 31, 46, 91, 56, 47, 60, 26, 27, 18

a. What are the null and alternative hypotheses?

To test if there is a linear correlation between the court income and the justice salary, you have to use the following hypotheses:

H₀: ρ = 0

H₁: ρ ≠ 0

b. Construct a scatterplot. See attachment.

c. The linear correlation coefficient r is: _____.

$r= \frac{sumX_1X_2-\frac{(sumX_1)(sumX_2)}{n} }{\sqrt{[sumX_1^2-\frac{(sumX_1)^2}{n} ][sumX_2^2-\frac{(sumX_2)^2}{n} ]} }$

n= 9; ∑X₁= 3992; ∑X₁²= 4078308; ∑X₂= 409; ∑X₂²= 2232; ∑X₁X₂= 262123

r= 0.86

d. The P value is: _____.

This test is two-tailed and so is its p-value. I've calculated it using a statistics software:

p-value: 0.0027

e. Based on the results, does it appear that justices might profit by levying larger fines?

Using the p-value approach, the decision rule is:

If the p-value ≤ α, reject the null hypothesis.

If the p-value > α, do not reject the null hypothesis.

The calculated p-value is less than the significance level, then the decision is to reject the null hypothesis.

At a 5% significance level you can conclude that there is a linear correlation between the "court income" and the "Justice salary"

I hope this helps!

6 0

3 years ago

How many times can 70 fit into 167. It is OK if it is rounded to the closest number of 167.

balu736 [363]

Answer:

(ones)2 (tenths)2.4 (hundredths)2.38

Step-by-step explanation:

Just sayin', you COULD use Google's calculator....

-5 or more, round the next number up.

-5 or less round the next number down.

3 0

3 years ago

At a ceramic shop, each cup is $6.30 cheaper than each plate. If you totally spent $28.50 for 5 cups and 3 plates, what is the p

Alex Ar [27]

Let
x-------------> the price of each cup
y-------------> the price of each plate

we know that

5x+3y=28.50----------> equation 1
and
x=y-6.30--------------> equation 2

I substitute 2 in 1
5*(y-6.30)+3y=28.50---------> 5y-31.5+3y=28.5-----> 8y=60
y=7.5
x=y-6.3---------> x=7.5-6.3---------> x=1.2

the answer is
the price of each cup is $1.2
the price of each plate is $7.5

8 0

3 years ago

Josie took a road trip. She drove for 45 minutes at 70 miles per hour. Then she drove 15 minutes at 20 miles per hour. How far d

Hunter-Best [27]

Answer:

Therefore Josie drove 57.5 miles.

Step-by-step explanation:

Speed: The ratio of distance to time.

To find the distance we use the following formula

$Distance= time \times speed$