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andrew-mc [135]
3 years ago
7

a scale on a map shows that 2.5 cm represents 15 kilometers. What number of actual kilometers are represented by 17.5 centimeter

s on a map?
Mathematics
1 answer:
shutvik [7]3 years ago
5 0

Answer:

I think the answer is 15, am I correct?

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The average height of students at UH from an SRS of 12 students gave a standard deviation of 2.5 feet. Construct a 95% confidenc
Vanyuwa [196]

Answer:

c. [1.771;4.245] feet

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Hello!

The variable of interest is

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X~N(μ;σ²)

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The statistic to use for the interval is a student Chi-Square with n-1 degrees of freedom. First you have to calculate the CI for the population variance:

[\frac{(n-1)S^2}{X^2_{n-1;1-\alpha /2}} ;\frac{(n-1)S^2}{X^2_{n-1;\alpha /2}} ]

X^2_{n-1;1-\alpha /2}= X^2_{11;0.975}= 21.920

X^2_{n-1;\alpha /2}= X^2_{11;0.025}= 3.816

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[\frac{11*6.25}{21.920} ;\frac{11*6.25}{3.816}} ]

[3.136; 18.016] feet²

Then you calculate the square root of both limits to get the CI for the population standard deviation:

[√3.136; √18.016]

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I hope this helps!

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