Question

Asked Apr 24, 2019

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Step 1

**Sampling distribution of sample mean:**

The sample mean of a random variable *X* has a sampling distribution that has population mean or expected value same as that of *X* and population standard deviation, called the standard error, which is the population standard deviation of *X* divided by the square root of the sample size *n*. The parameters are as follows:

Step 2

**Distribution of sample mean weight of adult male passengers:**

If a variable *X* is normally distributed with mean, *E*(*X _{i}*) =

Step 3

**Determine the mean and standard deviation of the sampling distribution of the sample mean weight of adult male passengers:**

A random sample of size *n* = 12 adult male players is selected.

Let *X* denotes the weight of a randomly selected adult male passenger.

Denote the population mean, that is, the mean weight of all adult male passengers as μ and the standard deviation in weights of all adult male passengers as σ.

Here, μ = 161 lb and σ = 25 lb.

Denote the sample mean weight of 12 randomly s...

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