What is 56•80 equal

A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

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

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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".

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

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

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

$p_v =P(z>1.768)=0.039$

6 0

3 years ago

The surface areas of two similar solids are 340 yd² and 1,158 yd². The volume of the larger solid is 1,712 yd³. What is the volu

ratelena [41]

The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .

We start with the relation between ratio of surface area and ratio of corresponding sides. That is

$\frac{340}{1158}=(\frac{x}{y} )^2$

Here x and y are the corresponding sides .

$\frac{x}{y} =\sqrt{\frac{340}{1158} } =0.542$

Let the volume of the smaller one be v

$\frac{v}{1712}=0.542^3$

$v=1712*0.542^3=272$

So for the smaller solid, volume is 272 . And the correct option is the first option .

4 0

4 years ago

What is bigger 0.7liters or 500 millileters

Mkey [24]

Answer:

0.7 Ls

Step-by-step explanation:

A liter (L) and a milliliter (mL) are two units for measuring capacity in the metric system. The bottle pictured at the right holds 1 L of water. About twenty drops of water equals 1 mL. To convert liters to milliliters, To convert milliliters to liters, multiply by 1,000.

5 0

3 years ago

Read 2 more answers

Also can anyone help with these problems too?

d1i1m1o1n [39]

Answer:

6. a

------

7. b

------

8. d

------

9. d

------

7 0

3 years ago

Z+z+z for x=2, y=-3 , z=-4

REY [17]

Answer:

-12

Step-by-step explanation:

Just sustitute the z for -4

z+z+z

-4+(-4)+(-4)

=-12

I hope this help :)

5 0

3 years ago

Read 2 more answers