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Zanzabum
3 years ago
14

Population A and Population B both have a mean height of 70.0 inches with an SD of 6.0. A random sample of 50 people is picked f

rom population A, and random sample of 20 people is selected from Population B. Which sample mean will probably yield a more accurate estimate of its population mean? Why?
Mathematics
1 answer:
Alex3 years ago
7 0

Answer:

Sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.

Step-by-step explanation:

To yield a more accurate estimate of the population mean, margin of error should be minimized.

margin of error (ME) of the mean can be calculated using the formula

ME=\frac{z*s}{\sqrt{N} } where

  • z is the corresponding statistic in the given confidence level(z-score or t-score)
  • s is the standard deviation of the sample (or of the population if it is known)
  • N is the sample size

for a given confidence level, and the same standard deviation, as the sample size increases, margin of error decreases.

Thus, random sample of 50 people from population A, has smaller margin of error than the sample of 20 people from population B.

Therefore, sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.

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3 years ago
The box plots below show student grades on the most recent exam compared to overall grades in the class:
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3 years ago
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Please help me out..
sdas [7]

Answer:

x=41

y=139

Step-by-step explanation:

x+y = 180  since they form a straight line

y is 3x +16

y = 3x +16

Replace y in the first equation

x+3x +16 = 180

Combine like terms

4x +16 = 180

Subtract 16 from each side

4x+16-16 =180-16

4x =164

Divide each side by 4

4x/4 =164/4

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5 0
3 years ago
How much of other chemicals must be evaporated from 400 grams of a hand sanitizer
yulyashka [42]

Answer:

24 g

Step-by-step explanation:

We first find the mass of 24 % alcohol in 400 g of hand sanitizer. Let x be the mass of alcohol. So, x/400 × 100 % = 24 %

x/400 = 0.24

x = 0.24 × 400

  = 96 g

The mass of the other chemicals is thus 400 g - 96 g = 304 g

We now find the mass of 30 % alcohol in 400 g of hand sanitizer. Let y be the mass of alcohol. So, y/400 × 100 % = 30 %

y/400 = 0.30

y = 0.30 × 400

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The mass of the other chemicals is thus 400 g - 120 g = 280 g

The mass of other chemicals that needs to be evaporated is thus 304 g - 280 g = 24 g

5 0
3 years ago
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