Clarke, one of the students, constructed a 95 percent confidence interval for p as 0.215±0.057 . Does the interval provide convincing statistical evidence that the number 6 will land face up more often on the baked die than on a fair die? Explain your reasoning.

Step-by-step explanation:

With a fair die, the probability of rolling a 6 is 1/6 or 0.167.

For the baked die, the low end of the confidence interval is 0.215 − 0.057 = 0.158.

Since 0.167 is within the range of the confidence interval, there is not convincing statistical evidence that a baked die will have a higher probability of rolling a 6 than a fair die.

The only question that can be answered is #1; you are missing information from the others.

The correct answer is:

24.

Explanation:

Euler's formula is:

V-E+F = 2, where V is the number of vertices, E is the number of edges, and F is the number of faces.

Using the information from the problem, we have:

14-36+F = 2

-22+F = 2

Add 22 to each side:

-22+F+22 = 2+22

F = 24