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mylen [45]
3 years ago
14

The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 . A dotplot s

hows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from . Compute the value of the test statistic and state the number of degrees of freedom.
Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Answer:

The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

Step-by-step explanation:

Consider the provided information.

The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .

Thus, n = 12, \bar x=36800 σ = 5000

degrees of freedom = n-1 = 12-1 = 11

H_0: \mu = 33700\ and\ H_a: \mu \neq 33700

Formula to find the value of z is: z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}

Where \bar x is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.

z=\frac{36800-33700}{\frac{5000}{\sqrt{12}}}

z=2.148

Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

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o-na [289]

Answer:

Therefore ,the measure of angle ABC = 116°.

Step-by-step explanation:

Given:

Δ CBD is an Equilateral Triangle

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m∠ ABC = ?

Solution:

Property For an Equilateral Triangle:

All the measure of Each of the angles angles of a triangle is 60°.

Δ CBD is an Equilateral Triangle   ..........Given

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Property For an Isosceles Triangle:

Any two of the base angles are equal.

Δ ABD is an Isosceles Triangle ................Given

∴ m∠ BAD = m∠ BDA = 62°  .....................( 2 )

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m∠ ABD + m∠ BAD + m∠ BDA = 180°

Substituting the values from equation ( 2 ) in it we get

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∴ m∠ ABC = 116°

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