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Solution To Hw

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Statistics

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Solution:

A point estimate refers to the use of a single statistical value as an estimator of the population

parameter. For instance, the sample mean x is a point estimate of the population mean μ and

the sample proportion p is a point estimate of the population proportion P. On the contrary, an

interval estimate refers to the determination of an interval relied on two real-valued numbers

which is expected to contain the true value of the population parameter in its interior with

given probability or confidence interval.

Explanation:

The actual population parameter μ = 15 is included in the interval estimate of between 12 and

26, due to the inequality 12 < 15 < 26.

Explanation:

The actual population parameter μ = 15 is not contained in the interval estimate of between 12

and 26, since the inequality 12 < 15 < 26 does not hold. In fact, the parameter μ = 15 lies to the

left of the interval estimate.

Solution:

( ) ( ) ( )

( ) ( )

0.38 1.44 1.44 0.38

1.44 0.38

0.92507 0.64803

0.27704

P Z P Z P Z

P Z P Z

  =  − 

=  − 

=−

Answer: 0.27704

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Solution:

The standard normal distribution with area in the above problem #4 shaded can be drawn as

follow:

Solution:

( )

( ) ( )

2.09 1.03

1.03 2.09

0.15150 0.01831

0.13319

P Z P Z

−   − =

=  − −  −

=  − −  −

=−

Answer: 0.13319

Solution:

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Solution: A point estimate refers to the use of a single statistical value as an estimator of the population parameter. For instance, the sample mean x is a point estimate of the population mean μ and the sample proportion p is a point estimate of the population proportion P. On the contrary, an interval estimate refers to the determination of an interval relied on two real-valued numbers which is expected to contain the true value of the population parameter in its interior with given probability or confidence interval. Explanation: The actual population parameter μ = 15 is included in the interval estimate of between 12 and 26, due to the inequality 12 < 15 < 26. Explanation: The actual population parameter μ = 15 is not contained in the interval estimate of between 12 and 26, since the inequality 12 < 15 < 26 does not hold. In fact, the parameter μ = 15 lies to the left of the interval estimate. Solution: P  0.38  Z  1.44   P  Z  1.44   P  Z  0.38   P  Z  1.44   P  Z  0.38   0.92507  0.64803  0.27704 Answer: 0.27704 1 Solution: The standard normal distribution with area in the above problem #4 shaded can be drawn as follow: Solution: P  2.09  Z  1.03   P  Z  1.03  P  Z  2.09   P  Z  1.03  P  Z  2.09   0.15150  0.01831  0.13319 Answer: 0.13319 Solution: 2 The standard normal distribution with area in t ...
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