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kozerog [31]
3 years ago
14

A professor of cognitive psychology is interested in the percent accuracy on this memory encoding task among college students. S

he measures the percent accuracy for 36 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average percent accuracy on this memory encoding task among college students is 0.793 percent correct with a standard deviation of 0.114 percent correct.
Mathematics
1 answer:
andrew11 [14]3 years ago
8 0

Answer:

a) Expected value of the mean = 0.793 percent

b) Standard error = 0.019 percent.

Step-by-step explanation:

Given

mean = μ = 0.793 percent

Standard deviation = σ = 0.114 percent

a) The sample mean is related to the population mean through

μₓ = μ = 0.793 percent

Hence, the expected value of the sample mean = 0.793 percent.

b) The standard error is given as

Standard error = σ/√n

where n = sample size = 36

Standard error = (0.114/√36)

Standard Error = 0.019 percent.

Hope this Helps!!!

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Find the center, vertices, and foci for the ellipse 25x^2 + 64y^2 = 1600
Alisiya [41]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Equation               25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

                             25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

                              x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

                             \frac{x^{2} }{a^{2}} + \frac{y^{2}}{b^{2}} = 1

3.- Find a, b and c

    a² = 64             a = 8

    b² = 25             b = 5

-Calculate c with the Pythagorean theorem

                   a² = b² + c²

-Solve for c

                   c² = a² - b²

-Substitution

                   c² = 8² - 5²

-Simplification

                  c² = 64 - 25

                  c² = 39

-Result

                  c = √13

4.- Find the center

          C = (0, 0)

5.- Find the vertices

          V1 = (-8, 0)     V2 = (8, 0)

6.- Find the foci

          F1 = (-√13, 0)   F2 = (√13, 0)

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3 years ago
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Answer:

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Step-by-step explanation:

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TiliK225 [7]

<u>Answer:</u>

∠VWT = 131°

<u>Explanation:</u>

∠VWT is equal to ∠UTW because they are Alternate inner angles. Since they are equal, we know that the measure of ∠VWT is 131°.

Hoped this helped!

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Here you go i hope i could help you

good luck!!!!

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