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kumpel [21]
2 years ago
9

Suppose that the ages of members in a large billiards league have a known standard deviation of σ = 12 σ=12sigma, equals, 12 yea

rs. Hernando plans on taking a random sample of n nn members from this population to make a 95 % 95%95, percent confidence interval for the mean age in the league. He wants the margin of error to be no more than 5 55 years. Which of these is the smallest approximate sample size required to obtain the desired margin of error?
Mathematics
1 answer:
asambeis [7]2 years ago
3 0

Answer:

n\geq 23

Step-by-step explanation:

-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:

n\geq (\frac{z\sigma}{ME})^2

Where:

  • \sigma is the standard deviation
  • ME is the desired margin of error.

We substitute our given values to calculate the sample size:

n\geq (\frac{z\sigma}{ME})^2\\\\\geq (\frac{1.96\times 12}{5})^2\\\\\geq 22.13\approx23

Hence, the smallest desired sample size is 23

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Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change. The sandwich cost $7.75 and sales tax was $
EleoNora [17]

Given

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

The sandwich cost $7.75 and sales tax was $0.47.

Find out the  cost of her drink

To proof

Let the cost of her drink be x.

As given in the question

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

Elysse paid for her sandwich and drink = 10 - 0.63              

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sandwich cost $7.75 and sales tax was $0.47

Than the equation becomes

x = 9.37 - (7.75 + 0.47)

x = 9.37 - 8.22

x = $ 1.15

The cost of the drink is $ 1.15.

Hence proved      

4 0
2 years ago
Read 2 more answers
Using approximations to 1 significant figure,
malfutka [58]

Answer:

200

Step-by-step explanation:

Given:

0.482 x 61.2^2 ÷ √98.01

61.2^2 = 3745.44

√98.01 = 9.9

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0.482 × 3745.44 ÷ 9.9

= 1,805.30208 ÷ 9.9

= 182.35374545454

To one significant figure

= 200

One significant figure means only 1 non zero value and others are zero

5 0
2 years ago
Alicia drove 265 miles in 5 hours. What is the average rate that she traveled?
Bumek [7]
265/5 = 53/1

53 miles per hour. 

*I hope this helped!
5 0
2 years ago
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The Hamden board of education wants to know how the community feels about building a new media center for the middle school. The
Aleks [24]
According to the statement above, The Hamden board of education called every <span>tenth person on the registration list. So let's analyze each case:

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Given that the statement doesn't tell us anything about the way they choose the sample, it is reasonable to conclude that this is a </span>randomly chosen. They called every tenth person on the registration list until the number of people was 40.

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You did not have to use mathematics to determine that you would need more information to get a conclusion. You must increase the sample, that is, the sample must be larger to give a reliable information.

The sample size is too large to make inferences (False)

This is explained in the previous item. If the sample should be lager is because the size is not too large.

The sample size is too small to represent the population (TRUE

This is true because 40 voters represent barely 0.5% of the entire list. This list has 7300 voters, so getting the conclusion from this sample doesn't provide with a strong conclusion.

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The sample is invalid because it randomly chooses voters. (FALSE)

It is false because in probability studies the sample is chosen randomly, so you get conclusions about the whole population always taking samples that represent the population as a whole.

The sample size is too small and can lead to false inferences (TRUE)

You can get false conclusions given that the sample size is too small. <span>It's important to note that the sample size supports the conclusion of the study, so the sample must increase to have a reliable study.
</span>
</span>
7 1
2 years ago
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Part A
Kitty [74]

Answer:

Flat fee of 20 dollars with 5 dollaers every hour=

20+h5

Step-by-step explanation:

8 0
2 years ago
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