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Tasya [4]
3 years ago
10

Four students are asked to find the mass of a mineral using a calibrated balance. The results were as follows: 16.009 g, 15.780

g, 16.110 g, and 15.990 g. The known mass of the mineral is 16.100g. Which student's result was the most accurate?
Mathematics
1 answer:
ahrayia [7]3 years ago
8 0

Answer:

There are two results that could be consider the most accurate:

1. 16.110g

Step-by-step explanation:

Since the actual mass is 16.100g. The result above is within ±0.01. That is, the most accurate results should be within the range of ±0.01.

Hence;

The result that can be consider most accurate is:

=> 16.100±0.01 = [16.110]

All other results are at distance above ±0.01 from the actual values 16.100g

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7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers
shusha [124]

Answer:

You must survey 784 air passengers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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In which

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The margin of error is:

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Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that \pi = 0.5, which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.035\sqrt{n} = 1.96*0.5

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