Does the point (0, 10) lie on the line y = 2x + 10?

It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly sele

kow [346]

Answer:

$t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974$

$p_v =P(t_{99}>8.974)=9.43x10^{-15}$

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.

Step-by-step explanation:

1) Data given and notation

$\bar X=23500$ represent the sample mean

$s=3900$ represent the sample standard deviation

$n=100$ sample size

$\mu_o =2000$ 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 determine if the true mean is higher than 20000, the system of hypothesis would be:

Null hypothesis: $\mu \leq 2000$

Alternative hypothesis: $\mu > 2000$

We don't know the population deviation, so for this case 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:

$t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974$

Calculate the P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=100-1=99$

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

$p_v =P(t_{99}>8.974)=9.43x10^{-15}$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.

8 0

3 years ago

At Westside Middle School, 10 percent, or 140 students, participate in soccer. How many students are in the school? Check all th

Alexeev081 [22]

Answer:

140 + 10 = 150, so 150 + 140 = 290 students. There are 140 + 10 = 150 students at Westside Middle School.

Step-by-step explanation:

5 0

3 years ago

Find the radius of a circle that has an area of 212

kobusy [5.1K]

Answer:

The answer should be: r ≈ 8.21

5 0

3 years ago

Read 2 more answers

Ticketd to the school play cost $11 for adults and $6 for children. What expression can be used to find the toyal cost for x adu

Makovka662 [10]

Answer:221

Step-by-step explanation:

4 0

3 years ago

Chris’s new car gets 42 miles per gallon. What is the equation that represents y, the total miles driven on x gallons of gas?

Fantom [35]

Answer: I think the answer is B

Step-By-Step Explination:

First you find out what x is by doing 42 multiplying it by 0.1 witch equals 4.2 gallons per mile

Next you figure out what y is by doing 4.2y (witch is 4.2 times y)

4 0

3 years ago