Helpp. Kayla covered the outside of a gift box shaped like a rectangular prism with paper.

Please Help! Multiple Choice!

Katyanochek1 [597]

Using the z-distribution, the p-value would be given as follows:

b) 0.0086.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis we test if the means are equal, hence:

$H_0: \mu_D - \mu_C = 0$

At the alternative hypothesis, it is tested if they are different, hence:

$H_1: \mu_D - \mu_C \neq 0$

<h3>What are the mean and the standard error for the distribution of differences?</h3>

For each sample, they are given as follows:

$\mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086$

$\mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556$

Hence, for the distribution of differences, they are given by:

$\overline{x} = 12 - 14 = -2$ .

$s = \sqrt{0.6086^2 + 0.4556^2} = 0.76$

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$z = \frac{\overline{x} - \mu}{s}$

$z = \frac{-2 - 0}{0.76}$

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

Hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/13873630

#SPJ1

4 0

2 years ago

Plz answer quickly will mark brainless

WARRIOR [948]

Banana nanznznananannanakakaka

8 0

3 years ago

B) Alfredo said that Angle 7 and Angle 6 are congruent and that would prove Line m

malfutka [58]

Answer:

Yes if Angle 7 and angle 6 are linear pairs in angles created by a straight line that cuts through parallel lines.

Step-by-step explanation:

Remember that two parallel lines that are cut by a transveral will create 8 angles, which will be similar to each other. Making four pairs of congruent angles means that they will be exactly the same angle located in different parts of the system. So if angles 6 and 7 are congruent, and the lines are cut by a transversal, then the lines are parallel.

6 0

3 years ago

A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train trav

Soloha48 [4]

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

7 0

3 years ago

Mark takes a bank loan of $3,600 to start up a business at an annual interest rate of 8%. How much will he have to repay in 16 m

Dimas [21]

Answer:

A. $3,984

Step-by-step explanation:

The amount of interest is computed from ...

I = Prt

For the given values, the interest is ...

I = $3600×0.08×(16/12) = $384

Then the total amount that needs to be repaid is ...

Principal + Interest = $3600 +384 = $3,984

_____

The time period is 16 months, so is 16/12 years.

The time periods of the interest rate and "t" in the formula must match. If the interest rate is an annual rate, then "t" is in years. If the interest rate is a monthly rate, then "t" is the number of months.

8 0

3 years ago