Write an equation and solve<br><br> Nine less than five times a number equals 71. Find the number

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

Tim wants to boil rice on the stove. He needs to use exactly three gallons of water in a pot to boil the rice. Which method shou

MatroZZZ [7]

A. is obviously the most easiest one, as you just have to fill it up 3 times to get 3 gallons.

The next one to measure exactly 3 gallons of water is B), because:

1) the 100-gallon barrel is more than 1 gallon, and is much more harder than 3 gallons.

2) Each person's 'palm' can hold different amounts of water, and so it can vary by the size of the palm.

So IF it cannot be (A), then your next choice is (B), as you only need 768 teaspoons for each gallon.

But, you should report this problem to the teacher, since A is obviously the best choice

4 0

2 years ago

Suppose a basketball team had a season of games with the following characteristics: Of all the games, 60% were at-home games. De

Sedaia [141]

Answer:

E. P(W | H)

Step-by-step explanation:

What each of these probabilities mean:

P(H): Probability of the game being at home

P(W): Probability of the game being a win.

P(H and W): Probability of the game being at home and being a win.

P(H|W): Probability of a win being at home.

P(W|H): Probability of winning a home game.

Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?

This is the probability of winning a home game. So the answer is:

E. P(W | H)

6 0

3 years ago

A clock has a diameter of 16 inches. how far does the hour hand travel during 5 hours? use 3.14 for pi.

valentina_108 [34]

Distance hour hand travel in 5 hours is 20.94 inches.

<h3>What is a diameter?</h3>

A diameter of a circle is any straight line segment that passes through the center of the circle and has endpoints on the circle in geometry.
It is also known as the circle's longest chord.
Both definitions apply to the diameter of a sphere.

To find the distance hour hand travel in 5 hours:

Let's say the hour hand completed one full round around the clock.
If this was the case, it would have been 2 $\pi$ ×8 inches around.
We know that the hour hand only traveled 5 hours around the clock rather than 12, thus our formula is 2 $\pi$ ×8×( 5/12 ).