2. An unknown distribution has a mean of 45 and a standard deviation of eight. Samples of size n = 30 are drawn randomly from the population. Find the probability that the sample mean is between 42 and 50. Calculate the standard deviation from the CLT ( Central Limit Theorem) to 4 places. For the answer, round to the second decimal place. For example: 0.00
Added by Ramon H.
Step 1
According to the Central Limit Theorem, the standard deviation of the sample mean (also known as the standard error) is equal to the standard deviation of the population divided by the square root of the sample size. So, the standard error (SE) = σ/√n = 8/√30 = Show more…
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