1. A man pushes a lawn mower with a force of 30 lb exerted at an angle of 30° to the ground. Find the

The class has 360 unit cubes in a bag Johnny divide the unit cubes equally among the groups how many unite cubes to each group g

elixir [45]

Answer: jeygehrhrxftjh

Step-by-step explanation:

5 0

4 years ago

The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons. What was the total p

kipiarov [429]

That would be 9.18x10^5

4 0

3 years ago

Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality ra

anyanavicka [17]

Answer:

Because the P-value is _(<u>0.02) less </u> than the significance level 0.05, there <u> is </u> sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of α=0.05.

C. The results suggest that imported lemons cause car fatalities.

Step-by-step explanation:

Hello!

The study variables are:

X₁: Weight of imported lemons.

X₂: Car crash fatality rate.

The objective is to test if the imported lemons affect the occurrence of car fatalities. To do so you are asked to use a linear correlation test.

I've made a Scatterplot with the given data, it is attached to the answer.

To be able to use the parametric linear correlation you can use the parametric test (Person) or the nonparametric test Spearman. For Person, you need your variables to have a bivariate normal distribution. Since one of the variables is a discrete variable (ratio of car crashes) and the sample is way too small to make an approximation to a normal distribution, the best test to use is Spearman's rank correlation.

This correlation coefficient (rs) takes values from -1 to 1

If rs = -1 this means that there is a negative correlation between the variables

If rs= 1 this means there is a positive correlation between the variables

If rs =0 then there is no correlation between the variables.

The hypothesis is:

H₀: There is no linear association between X₁ and X₂

H₁: There is a linear association between X₁ and X₂

α: 0.05

To calculate the Spearman's correlation coefficient you have to assign ranks to the observed values of each variable, from the smallest to the highest). Then you have to calculate the difference (d)between the ranks and the square of that difference (d²). (see attachment)

The formula for the correlation coefficient is:

$rs= 1 - \frac{6* (sum of d^2)}{(n-1)n(n+1)}$

$rs= 1 - \frac{6* (40)}{4*5*6}$

rs= -1

For this value of the correlation coefficient, the p-value is 0.02

Since the p-value (0.02) is less than the significance level (0.05) the decision is to reject the null hypothesis. In other words, there is a linear correlation between the imported lemons and the car crash fatality ration, this means that the modification in the lemon import will affect the car crash fatality ratio.

Note: the correlation coefficient is negative, so you could say that there is a correlation between the variables and this is negative (meaning that when the lemon import increases, the car crash fatality ratio decreases)

I hope it helps!

4 0

3 years ago

A man has 1/4 of a kilogram of couscous. He shared them equally among 2 people. How many kilograms does each person get? Input y

icang [17]

Answer:

1/8th

Step-by-step explanation:

5 0

3 years ago

The population of a wildlife habitat is modeled by the equation LaTeX: p\left(t\right)=\frac{360}{1\:\:+\:\:6.2e^{-0.35t}} p ( t

Ksivusya [100]

Answer:

50 animals.

Step-by-step explanation:

We have been given that the population of a wildlife habitat is modeled by the equation $p(t)=\frac{360}{1+6.2e^{-0.35t}}$ , where t is given in years. We are asked to find the the number of animals originally transported to the habitat.