Solve this inequality: 3b

An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty y

Kay [80]

Answer:

$t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28$

Now we can calculate the p value with the following probability:

$p_v =2*P(t_{60}$

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

Step-by-step explanation:

Information given

$\bar X_{1}=14$ represent the mean for sample 1 (younger)

$\bar X_{2}=20$ represent the mean for sample 2 (older)

$s_{1}=5$ represent the sample standard deviation for 1

$s_{f}=6$ represent the sample standard deviation for 2

$n_{1}=31$ sample size for the group 2

$n_{2}=31$ sample size for the group 2

t would represent the statistic

System of hypothesis

We want to test if that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

The statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=31+31-2=60$

Replacing the info given we got:

$t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28$

Now we can calculate the p value with the following probability:

$p_v =2*P(t_{60}$

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

6 0

3 years ago

The Earth has a mass of about 6 x 10^24 kg. Neptune has a mass of 1.8 x 10^27kg. How many times bigger is Neptune than Earth

elena-s [515]

Answer:

300 times bigger.

Step-by-step explanation:

That would be (1.8 * 10^27 ) / (6 * 10^24)

= 0.3 * (10^27/10^24)

= 0.3 * 10^3

= 3 * 10^2

= 300.

5 0

3 years ago

Calculate simple interest

neonofarm [45]

So
I=P⋅i⋅t=Ii⋅t=50000.04⋅6=20833.33

6 0

3 years ago

There are approximately 15 milliliters (mL) in 1 tablespoon (tbsp). Which expression can be used to find the approximate number

Greeley [361]

We develop the ratio between the number of milliliters present in 1 tablespoon and that is,
15 mL: 1 tablespoon
We let x be the number of millileter in 3 tbsp and it can be determined through the equation below.
x = 3 tbsp x (15 mL/ 1 tbsp) = 45 mL
Therefore, there are 45 mL in 3 tbsp.

3 0

3 years ago

Which scatterplot shows a negative correlation? Multiple-choice answer

aliina [53]

The one the points down shows a negative correlation. a positive correlation points up

your answer here is d

4 0

3 years ago

Read 2 more answers

Solve this inequality: 3b - 7 < 32