Find the slope help please

The mean annual premium for automobile insurance in the United States is $1503 (Insure website, March 6, 2014). Being from Penns

romanna [79]

Answer:

If we compare the p value and the significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.

Step-by-step explanation:

1) Data given and notation

$\bar X=1440$ represent the mean annual premium value for the sample

$s=165$ represent the sample standard deviation for the sample

$n=25$ sample size

$\mu_o =1503$ represent the value that we want to test

$\alpha$ 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 mean annual premium in Pennsylvania is lower than the national mean annual premium, the system of hypothesis would be:

Null hypothesis: $\mu \geq 1503$

Alternative hypothesis: $\mu < 1503$

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)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

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

$t=\frac{1440-1503}{\frac{165}{\sqrt{25}}}=-1.909$

P-value

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

$df=n-1=25-1=24$

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

$p_v =P(t_{(24)}$

Conclusion

If we compare the p value and the significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean annual premium in Pennsylvania is significantly lower than the national mean annual premium of 1503 at 5% of significance.

7 0

3 years ago

Dropping less than two inches per mile after emerging from the mountains, a river drains into the ocean. One Day's discharge at

pashok25 [27]

So, one trillion is 1 and twelve zeros, thus 2.4 trillion is 2 trillions and 400 billions or 24 followed by eleven zeros, because the "4" is using up a space.

now, 1 million is 1 and six zeros, thus 100 millions is 100 and six zeros or 1 and 8 zeros.

now, is 2.4 trillions in four months, thus 2.4trillion/4 will give us how many gallons in 1 month.

to find how many households, simply let's divide it by 100 millions

$\bf \cfrac{\stackrel{\textit{2.4 trillions}}{24\times 10^{11}}}{4}\implies \cfrac{24}{4}\times 10^{11}\implies 6\times 10^{11}
\\\\\\
\cfrac{\stackrel{\textit{gallons per month}}{6\times 10^{11}}}{\stackrel{households}{1\times 10^8}}\implies \cfrac{6}{1}\times \cfrac{10^{11}}{10^8}\implies 6\times 10^{11}\times 10^{-8}
\\\\\\
6\times 10^{11-8}\implies 6\times 10^3\implies \stackrel{\textit{gallons per household}}{6000}$

6 0

3 years ago

Read 2 more answers

Tell whether the triangles are similar.Explain.

Burka [1]

Answer: 13. yes 14. no

Step-by-step explanation:

13. same angles sized down

14. different angles sized down

3 0

2 years ago

Helppppppppppppppppppppppppppp

Nata [24]

Answer:

14 cm

Step-by-step explanation:

One side of the composite has a length of 6 and the other side has a length of 8.

If we add these two numbers, we'll get the missing side length of the rectangle

6 + 8 = 14 cm

6 0

2 years ago

A figure is reflected across the x-axis to create a new figure. Which rule describes this transformation?

tangare [24]

Answer:

f(x) reflected across the x-axis is -f(x)

Step-by-step explanation:

so aka

O (x,y) → (x, -y)

8 0

2 years ago