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0 sailing at night. ed to guide ships traveling in rocky waters and to allow The

ID: 2934312 • Letter: 0

Question

0 sailing at night. ed to guide ships traveling in rocky waters and to allow There are many ways to describe the size of a lighthoue However, the height s usually measured from the base of the tower to the top of the ar of 18 lighthouses in France and England was obtained, and the heights is normal and Fill in the blanks. 5.4 meters. height of each was recorded. The sample mean was x-bar- 33.75 meters. Assume the distribution of lighthouse whole number.) Give your answer to four deamal places.) Answer 2

Explanation / Answer

Solution:

From the given information

Sample mean x = 33.75

Standard deviation   = 5.4

Sample size n = 18

1) Confidence interval:

95% confidence interval

= 1-0.95 = 0.05

C.I = x ± Z0.05/2 * (/n)

= 33.75 ± 1.96 * (5.4/18)

= 33.75 ± 2.4947

= (31.2553, 36.2447)

2) Sample size:

n = (Z/2 /E)2

= (1.96 * 5.4 /2)2

= 28.01