According to one study, brain weights of men are normally distributed with a mean of 1.20kg and a standard deviation of 0.13kg. Use the data to answer

defazajx

defazajx

Answered question

2020-11-27

According to one​ study, brain weights of men are normally distributed with a mean of 1.20kg and a standard deviation of 0.13kg. Use the data to answer questions​ (a) through​ (e). a. Determine the sampling distribution of the sample mean for samples of size 3. The mean of the sample mean is μx=? The standard deviation of the sample mean is σx=? ​(Round to four decimal places as​ needed.) b. Determine the sampling distribution of the sample mean for samples of size 12. The mean of the sample mean is μx=? The standard deviation of the sample mean is σx=? (Round to four decimal places as​ needed.)

Answer & Explanation

lamanocornudaW

lamanocornudaW

Skilled2020-11-28Added 85 answers

Given:

μ=1.20kg
σ=0.13kg

a) Given: n=3

The mean of the sample mean is μx=μ=1.20

The standard deviation of the sample mean is σx=σn=0.133=0.0751

b) Given: n=12

The mean of the sample mean is μx=μ=1.20

The standard deviation of the sample mean is σx=σn=0.1312=0.0375

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