Question

In a population of subjects who died from lung cancer following exposure to asbestos, it was found that the mean number of years elapsing between exposure and death was 25. The standard deviation was 7 years. Consider the sampling distribution of sample means based on samples of size 35 drawn from this population.

Required:
What will be the standard deviation of the sampling distribution?

Answer 1

The value is
`\sigma _x = 1.1832`

Explanation:

From the question we are told that

The population mean is
`\mu = 25`

The population standard deviation is
`\sigma = 7`

The sample size is n = 35

Generally the standard deviation of the sampling distribution is mathematically represented as

`\sigma _x = (\sigma)/(√(n) )`

=>
`\sigma _x = (7)/(√(35) )`

=>
`\sigma _x = 1.1832`