Question

A random sample of size n = 64 is taken from a population with mean μ = −12.2 and standard deviation σ = 5.

a. calculate the expected value and the standard error for the sampling distribution of the sample mean. (negative values should be indicated by a minus sign. round "expected value" to 1 decimal place and "standard error" to 4 decimal places.)

Answer 1

The expected value for the sampling distribution of the sample mean is -12.2. The standard error for the sampling distribution of the sample mean is 0.6250.

Step-by-step explanation:

The expected value for the sampling distribution of the sample mean can be calculated using the formula µx = μ = -12.2. So, the expected value is -12.2.

The standard error for the sampling distribution of the sample mean can be calculated using the formula σx = σ/√n, where σ is the population standard deviation and n is the sample size.

Substituting the given values, we get σx = 5/√64 = 0.6250 (rounded to four decimal places).

Answer 2

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