What is 3819 divided by 19

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

RYAN COMPLETED 1/8 of his test in 2/5 hour.if ryan's rate stayed the same,how much of his test was finished in one hour? help pl

KiRa [710]

Answer:

Step-by-step explanation:

Multiply 1/8 by 2.5

1/8 x 2.5 = 5/16

Ryan will have completed 5/16 of his test at the 1 hour mark.

I'm always happy to help :)

7 0

3 years ago

A container holds 9 red markers, 13 blue markers, and 17 green markers. You will randomly select two markers without replacement

IRISSAK [1]

Answer:

a.

R-------8/38--------RR

R------9/39--------B-------13/38-------RB

G------17/38--------RG

R-------9/38--------BR

B--------13/39------B-------12/38-------BB

G-------17/38-------BG

R-----9/38--------GR

G---------17/39-------B------13/38-------GB

G------16/38-------GG

b).

9 ways
ways you can select 1 blue are; RB,BR,BG,GB

RB=9/39 × 13/38=3/38

BR= 13/39 × 9/38 =3/38

BG= 13/39 × 17/38=17/114

GB= 17/39 × 13/38=17/114

=3/38 +3/38+17/114+ 17/114 =26/57

Probability of selecting 2 red markers= RR = 9/39 × 8/38 =12/247

Probability of selecting a green marker and then a red marker= GR= 17/39×9/38 =51/494

8 0

3 years ago

Mr .Cruz is the director of an after school program. He says that 170 or 85%of the students went on to attend collage. A parent

Nimfa-mama [501]

Answer:

200 students were in the program

Step-by-step explanation:

The parent should know how to figure ...

170/85% = total/100%

This is the same as ...

total = 170/0.85 = 200

200 students were in the program.

_____

<em>Critical Thinking</em>

There are three declarative statements here. <em>There is no question</em>. We have made up a question to answer.

Another possible answer to the non-question could be, "The parent can ask his student how many students were in the program."

3 0

3 years ago

For accounting purposes, the value of assets (land, buildings, equipment) in a business are depreciated at a set rate per year.

lidiya [134]

Answer: $ 125987.80

Step-by-step explanation:

Given: The value, V(t) of $393,000 worth of assets after t years, that depreciate at 15% per year, is given by the formula

$V (t)=V_o(b)^t$ , here $V_o$ is the initial asset value and b is the multiplicative decay factor.

The exponential decay function is given by ;-

$f(x)=A(b)^x$ , where A is the initial value , x is the times period and b is the multiplicative decay factor.

where b = 1-r, r is the rate of decay.

Since r = 15%=0.15

Therefore, b = 1-0.15=0.85

Now ,for 7 years , the value of assets is given by :-

$V=393000(0.85)^7=125986.795\approx125987.80$

Hence, the assets valued at after 7 years = $ 125987.80

4 0

2 years ago

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