Question

The number of lightening strikes on a square kilometer of open ground in a year has mean 5 and standard deviation 2.1. The National Lightening Detection Network used automatic sensors to watch for lightening in a sample of 16 randomly chosen square kilometers. Q1): What are the mean and standard deviation of the mean number of strikes per square kilometer

Answer 1

Answer:

5 ; 0.525

Step-by-step explanation:

Given that :

Population Mean number of strikes per square kilometer (μ) = 5

Population standard deviation of strikes per square kilometer (σ) = 2.1

Sample size (n) = 16

The sample mean number of strikes per square kilometer (m) = mean Number of strikes per square kilometer in the population.

μ = m ; 5 = 5

Hence,

Sample mean = 5

Standard deviation = standard error = σ/√n

Standard Error = 2.1 / √16

Standard Error = 2.1 / 4

Standard Error = 0.525