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2 years ago

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Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th

e distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply. The independent variable, the input, is the variable d, representing distance. The distance traveled depends on the amount of time Marlene rides her bike. The initial value of the scenario is 16 miles per hour. The equation t = d + 16 represents the scenario. The function f(t) = 16t represents the scenario.

1 answer:

jekas [21]2 years ago

6 0

<h2>Answer:</h2>

The statement that is true about the scenario is:

The distance traveled depends on the amount of time Marlene rides her bike.

The function f(t) = 16t represents the scenario.

<h2>Step-by-step explanation:</h2>

The time that she rides is represented by 't'

and the distance she traveled is represented by 'd'

Now, it is given that:

Marlene rides her bike at a rate of 16 miles per hour.

This means that the distance she rides in ''t" hours is given by:

$d=16t$

Since, speed is the ratio of distance over time and it is given that the speed is: 16 miles per hour.

i.e.

$\dfrac{d}{t}=16\\\\i.e.\\\\d=16t$

Hence, the distance depends upon time.

i.e. the independent variable is time and the dependent i.e. the output is distance traveled.

Also, the initial value is zero.

i.e. at t=0 we have: d=0

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Answer:

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Step-by-step explanation:

Data given and notation

n=25 represent the random sample taken

$\hat p=0.2$ estimated proportion

$p_o=0.16$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion of employess are late to work is 0.16, so we need to apply a one sample proportion test:

Null hypothesis: $p=0.16$

Alternative hypothesis: $p \neq 0.16$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

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It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>0.546)=0.585$

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