Which pair of variables shows a clear causal link?

Mathematics

2 answers:

xxTIMURxx [149]2 years ago

8 0

The number of lights switched on in a room and the room's brightness.

LekaFEV [45]2 years ago

4 0

Answer:

The pair of variables that show a clear causal link are the number of lights switched on in a room and the room's brightness

Step-by-step explanation:

Clear casual link indicates two variables that have a completly and unequivocal relation, meaning that changes in one variable produce automatically and with no doubt a change in the other.

Case A does not have this link as these two variables have no relation at all. A person from certian state may have any type of academic degree.

Case B Cost of aviation fuel may be explained by other variables like international prices and flight duration may be explained also due to climate.

Case D- a person may have a pet even under low income levels.

Case C is the only adequate relation, as turning lights on will always increase room's brightness.

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Solve −8x ≤ 2.

Oksi-84 [34.3K]

-8x ≤ 2
Divide both sides by negative 8. Remember that dividing both sides by a negative number flips the direction of the inequality.
x ≥ -(1/4)
-(1/4) can also be written as -0.25
Answer is C) x ≥ -0.25

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2 years ago

Read 2 more answers

Suppose that the researchers wanted to estimate the mean reaction time to within 6 msec with 95% confidence. Using the sample st

Lisa [10]

Answer:

a) The 95% confidence interval would be given by (509.592;550.308)

b) n=523 rounded up to the nearest integer

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=530$ represent the sample mean for the sample

$\mu$ population mean

s=70 represent the sample standard deviation

n=48 represent the sample size (variable of interest)

Confidence =95% or 0.995

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are df=n-1=48-1=47

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,47)".And we see that $z_{\alpha/2}=2.01$