Eliza is playing roulette on her computer for play money. To play, she “spins” a wheel that consists of 18 red numbers, 18 black
1 answer:
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Complete question is;
Suppose we are testing the null hypothesis H0: μ = 20 and the alternative Ha: μ ≠ 20, for a normal population with σ = 5. A random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is x¯ = 17.6. The P-value is closest to:
a. 0.0668.
b. 0.0082.
c. 0.0164.
d. 0.1336
Answer:
Option D
Step-by-step explanation:
We are given;
Null hypothesis; H0: μ = 20
Alternative hypothesis; Ha: μ ≠ 20
Population Standard deviation; σ = 5
Sample size; n = 25
Sample mean; x¯ = 17.6
Let's find the z-score from the formula;
z = (x¯ - μ)/(σ/√n)
z = (17.6 - 20)/(5/√5)
z = - 1.073
From online p-value from z-score calculator attached, using z = -1.073; two tailed hypothesis; significance value of 0.05,we have;
The P-Value is 0.283271.
Looking at the given options, the closest to the p-value is option D
Answer:
Part 1)
Part 2)
Step-by-step explanation:
<u><em>The correct question is</em></u>
Find the volume and the surface area of a rectangular prism. Bases are squares with sides that measure 27 inches. The height is 12 inches.
Part 1) Find the volume of the prism
The volume of the prism is equal to
where
B is the area of the base
h is the height of the prism
<em>Find the area of the base B</em>
---> the base is a square
we have
substitute
Part 2) Find the surface area of the prism
The surface area of the prism is equal to
where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
<em>Find the perimeter of the base P</em>
<em></em><em></em>
substitute the values in the formula