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2 years ago

objective: central limit theorem assumptions. the factor(s) to be considered when assessing if the central theorem holds is/are

Mathematics

1 answer:

Eddi Din [679]2 years ago

8 0

Answer:

Sample size

Step-by-step explanation:

Central Limit Theorem states that population with mean and standard deviation and if the sample size is large then the distribution of sample mean will be will be normally distributed. The central limit theorem holds assumptions that the factors to be considered when assessing central limit theorem is sample size.

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Suppose that f(x) is the (continuous) probability density function for heights of American men, in inches, and suppose that f(69

anastassius [24]

Answer:

(a) 7.6%

(b) 46.2% 42.4%

Step-by-step explanation:

(a)According to the definition of Continuous probability distribution

$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x + h) - F(x - h)}{(x + h) - (x - h)}$

$f(69) = \frac{F(69 + 0.2) - F(69 - 0.2)}{0.4}$

⇒ 0.19 × 0.4 = F(69.2) - F(68.8)

⇒ F(69.2) - F(68.8) = 0.076

⇒ 7.6%

(b) Given F(69) = 0.5

$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}$

$f(69) = \frac{F(69) - F(69 - 0.2)}{0.2}$

⇒ 0.19 × 0.2 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.038 = 0.462

⇒ 46.2%

$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}$

$f(69) = \frac{F(69) - F(69 - 0.4)}{0.4}$

⇒ 0.19 × 0.4 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.076 = 0.424

⇒ 42.4%

5 0

3 years ago

Write (p^4)^2 without exponents

Sonbull [250]

Answer:

(p^4)^2 = p x p x p x p x p x p x p x p

Step-by-step explanation:

(p^4)^2 = p^8 = p x p x p x p x p x p x p x p

4 0

2 years ago

Read 2 more answers

Which ratios have a unit rate greater than 1? Choose ALL that apply.

PolarNik [594]

Answer:

Step-by-step explanation: 7 miles: 3/4 hour, 9/8 miles: 5/6 hour, and 4 miles: 3 and 1/3 hour.

hope this helps !! <3

7 0

2 years ago

Eight friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?

Pachacha [2.7K]

Answer:

1/4 of a pie

Step-by-step explanation:

2 / 8 = 1/4

6 0

3 years ago

A camera costs 115 Canadian Dollars. If each Canadian dollar is worth 0.952 U.S Dollars, how much would the camera cost in U.S D

PIT_PIT [208]

This is truly a simple, one-step equation if looked at in the right angle.

You're going to want to multiply 115 by .952:

115
<u> x .952
</u>    230
+   6050
<u>+ 93500
</u>  109.48

$109.48 is your final answer.

6 0

2 years ago