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4 years ago

The table gives the populations of three countries in 2013.

Mathematics

2 answers:

Aleonysh [2.5K]4 years ago

9 0

Answer:

Arranging the sum and differences in increasing order of their values:

1) Difference of the populations of Germany and Brazil = 1.16 X 10^8

2) Difference of the populations of Brazil and the United States = 1.2 X 10^8

3) Sum of the populations of Brazil and Germany = 2.76 X 10^8

4) Sum of the populations of the United States and Brazil = 5.12 X 10^8

Is correct btw

lisabon 2012 [21]4 years ago

3 0

Answer:

Arranging the sum and differences in increasing order of their values.

1) Difference of the populations of Germany and Brazil = 1.16 X 10^8

2) Difference of the populations of Brazil and the United States = 1.2 X 10^8

3) Sum of the populations of Brazil and Germany = 2.76 X 10^8

4) Sum of the populations of the United States and Brazil = 5.12 X 10^8

Step-by-step explanation:

Population of United States: 3.16 X 10^8

Population of Brazil : 1.96 X 10^8

Population of Germany: 8 X 10^7

a) the difference of the populations of Germany and Brazil

Difference of the populations of Germany and Brazil = 1.96 X 10^8 - 8 X 10^7 = 116000000 = 1.16 X 10^8

b) the sum of the populations of the United States and Brazil

Sum of the populations of the United States and Brazil = 3.16 X 10^8 + 1.96 X 10^8 = 512000000 = 5.12 X 10^8

c) the difference of the populations of Brazil and the United States

Difference of the populations of Brazil and the United States = 3.16 X 10^8 - 1.96 X 10^8 = 120000000 = 1.2 X 10^8

d) the sum of the populations of Brazil and Germany

Sum of the populations of Brazil and Germany: 1.96 X 10^8 + 8 X 10^7 = 276000000 = 2.76 X 10^8

Arranging the sum and differences in increasing order of their values.

1) Difference of the populations of Germany and Brazil = 1.16 X 10^8

2) Difference of the populations of Brazil and the United States = 1.2 X 10^8

3) Sum of the populations of Brazil and Germany = 2.76 X 10^8

4) Sum of the populations of the United States and Brazil = 5.12 X 10^8

You might be interested in

For the hypothesis test H0: μ = 10 against H1: μ >10 and variance known, calculate the Pvalue for each of the following test

Basile [38]

Answer:

a) $p_v =P(Z>2.05)=1-P(z$

b) $p_v =P(Z>-1.84)=1-P(z$

c) $p_v =P(Z>0.4)=1-P(z$

Step-by-step explanation:

Some previous concepts

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

A z-test for one mean "is a hypothesis test that attempts to make a claim about the population mean(μ)".

The null hypothesis attempts "to show that no variation exists between variables or that a single variable is no different than its mean"

The alternative hypothesis "is the hypothesis used in hypothesis testing that is contrary to the null hypothesis"

Hypothesis

Null hypothesis: $\mu=10$

Alternative hypothesis: $\mu >10$

If the random variable is distributed like this: $X \sim N(\mu,\sigma)$

We assume that the variance is known so the correct test to apply here is the z test to compare means, the statistic is given by the following formula:

$z_o=\frac{\bar X -\mu}{\sigma}$

Since we have the values for the statistic already calculated we can calculate the p value using the following formulas:

Part a

$p_v =P(Z>2.05)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(2.05,0,1,TRUE)"

Part b

$p_v =P(Z>-1.84)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(-1.84,0,1,TRUE)"

Part c

$p_v =P(Z>0.4)=1-P(z$

And in order to find the answer using excel we can use the following code:

"=1-NORM.DIST(0.4,0,1,TRUE)"

Conclusions

If we use a reference value for the significance, let's say $\alpha=0.05$ . For part a the $p_v$ so then we can reject the null hypothesis at this significance level.