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Andru [333]
3 years ago
7

Only a very small (<5) percentage of measurements can be more than 2 standard deviations from the mean of the normal distribu

tion.
A. True
B. False
Mathematics
2 answers:
ElenaW [278]3 years ago
6 0

Answer:

The answer is true

Step-by-step explanation:

True

horsena [70]3 years ago
5 0

Answer:

A. True

Step-by-step explanation:

The empirical rule in statistics states that:

  • 68% of the data will be within 1 standard deviation
  • 95% of the data will be within 2 standard deviations
  • 99.7% of the data will be within 3 standard deviations

So yes, we can state that 5% or less of the data will be more than 2 standard deviations away from the mean. Of course, statistics is not 100% certain, so this rule is not 100% right all the time. Some exceptions might result, but generally speaking, the results should follow the empirical rule.

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nlexa [21]
Jack was planting a tree. He was to dig a hole that was 3 feet deep for every 5 feet of tree height. How deep should he dig the hole for a tree that is 17feet high. 

Calculations 

\frac{DEEP}{HIEGHT} 

Cross multiplication

\frac{3 DEEP}{5 HIEGHT} = \frac{x}{13} 

5x = 2 x 13 

Divide by 5 to isolate x

\frac{5x}{5} = \frac{51}{5} 

x = 10.2 

Answer = 10.2 
4 0
3 years ago
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What is the unit rate for You create 18 centerpieces for a party in 6 hours. ​
Snezhnost [94]

Answer: The unit rate is 3 centerpieces per hour

Step-by-step explanation:

18centterpieces/6hrs =3

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3 years ago
A large pizza with diameter of 18 in. is cut into 8 equal slices. How long is the crust of one slice of pizza.
Semmy [17]

Answer:

9

Step-by-step explanation:

18/2=9

Oh wait. I am wrong

7 0
3 years ago
The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 . a.
Anastasy [175]

Answer:

a) 0.073044

b) 0.75033

c) The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

Step-by-step explanation:

The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 .

a. Find the probability that an individual distance is greater than 218.00 cm.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 218

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

For x > 218

z = 218 - 205.5/8.6

z = 1.45349

Probability value from Z-Table:

P(x<218) = 0.92696

P(x>218) = 1 - P(x<218) = 0.073044

b. Find the probability that the mean for 15 randomly selected distances is greater than 204.00

When = random number of samples is given, we solve using this z score formula

z = (x-μ)/σ/√n

where

x is the raw score = 204

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

n = 15

For x > 204

Hence

z = 204 - 205.5/8.6/√15

z = -0.67552

Probability value from Z-Table:

P(x<204) = 0.24967

P(x>204) = 1 - P(x<204) = 0.75033

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

3 0
3 years ago
4,000 hundreds is how many ten thousand
Lemur [1.5K]
The digit 4 is in the ten thousands place. Its value is 4 ten thousands, or 40,000. The digit 7 is in the tens place.
7 0
3 years ago
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