STATISTICS- UNLOCKING... (LL)-W/ACCESS
STATISTICS- UNLOCKING... (LL)-W/ACCESS
2nd Edition
ISBN: 9781119600657
Author: Lock
Publisher: WILEY
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Chapter 5.2, Problem 34E

a.

To determine

Find the z*-value based on a standard normal distribution for an 80% confidence interval for a proportion.

a.

Expert Solution
Check Mark

Answer to Problem 34E

The z*-value for an 80% confidence interval for a proportion is 1.282.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

  • Choose Normal under Theoretical Distributions.
  • In Normal Distribution, click Edit Parameters.
  • Enter mean as 0 and standard deviation as 1 and click Ok.
  • Click Two-Tail.
  • Click on the 0.950. In custom proportion, enter 0.800.
  • Click Ok.

Output obtained using StatKey is as follows:

STATISTICS- UNLOCKING... (LL)-W/ACCESS, Chapter 5.2, Problem 34E , additional homework tip  1

Thus, the z*-value for an 80% confidence interval for a proportion is 1.282.

b.

To determine

Find the z*-value based on a standard normal distribution for an 84% confidence interval for a slope.

b.

Expert Solution
Check Mark

Answer to Problem 34E

The z*-value for an 84% confidence interval for a slope is 1.405.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

  • Choose Normal under Theoretical Distributions.
  • In Normal Distribution, click Edit Parameters.
  • Enter mean as 0 and standard deviation as 1 and click Ok.
  • Click Two-Tail.
  • Click on the 0.950. In custom proportion, enter 0.840.
  • Click Ok.

Output obtained using StatKey is as follows:

STATISTICS- UNLOCKING... (LL)-W/ACCESS, Chapter 5.2, Problem 34E , additional homework tip  2

Thus, the z*-value for an 84% confidence interval for a slope is 1.405.

c.

To determine

Find the z*-value based on a standard normal distribution for a 92% confidence interval for a standard deviation.

c.

Expert Solution
Check Mark

Answer to Problem 34E

The z*-value for a 92% confidence interval for a standard deviation is 1.751.

Explanation of Solution

Step-by-step procedure to obtain the z*-value using StatKey:

  • Choose Normal under Theoretical Distributions.
  • In Normal Distribution, click Edit Parameters.
  • Enter mean as 0 and standard deviation as 1 and click Ok.
  • Click Two-Tail.
  • Click on the 0.950. In custom proportion, enter 0.920.
  • Click Ok.

Output obtained using StatKey is as follows:

STATISTICS- UNLOCKING... (LL)-W/ACCESS, Chapter 5.2, Problem 34E , additional homework tip  3

Thus, the z*-value for a 92% confidence interval for a standard deviation is 1.751.

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