A random sample of size n = 32 is taken from a population with mean μ...
A random sample of size n = 32 is taken from a population with mean μ = −6.1 and standard deviation σ = 2. [You may find it useful to reference the z table.]
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.)
Expected value
Standard error
b. What is the probability that the sample mean is less than −6? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)
Probability
c. What is the probability that the sample mean falls between −6 and −5? (Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
Probability
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