Draw the image of the rotation of quadrilateral SORT by 270° about the origin

If we compare the p value and the significance level given $\alpha=0.05$ and we can see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the true average speed is lower than 25 mph at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=24$ represent the sample mean

$s=2.2$ represent the sample standard deviation

$n=14$ sample size

$\mu_o =25$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean for the average speed is lower than 25 mph, the system of hypothesis would be:

Null hypothesis: $\mu \geq 25$

Alternative hypothesis: $\mu < 25$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=14-1=13$

Since is a one side test the p value would be:

$p_v =P(t_{(13)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ and we can see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can't conclude that the true average speed is lower than 25 mph at 5% of signficance.

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3 years ago

Need help trying to figure out

docker41 [41]

Answer:

14

Step-by-step explanation:

$\frac{18}{45}$ = $\frac{x}{35}$