The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 o
ID: 3266135 • Letter: T
Question
The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The manufacturer tells you that the net weight is actually a Normal random variable with a mean of 5.95 ounces and a standard deviation of 0.2 ounces. Suppose that you draw a random sample of 42 cans. Suppose the number of cans drawn is doubled. How will the standard deviation of sample mean weight change? It will increase by a factor of 2. It will decrease by a factor of Squareroot 2. It will increase by a factor of Squareroot 2. It will decrease by a factor of 2. It will remain unchanged. Suppose the number of cans drawn is doubled. How will the mean of the sample mean weight change? It will decrease by a factor of Squareroot 2. It will increase by a factor of Squareroot 2. It will decrease by a factor of 2. It will increase by a factor of 2. It will remain unchanged. Consider the statement: 'The distribution of the mean weight of the sampled cans of Ocean brand tuna is Normal.' It is a correct statement, but it is not a result of the Central Limit Theorem. It is an incorrect statement. The distribution of the mean weight of the sample is not Normal. It is a correct statement, and it is a result of the Central Limit Theorem.Explanation / Answer
1. The standard deviation of sample is divided by the square root of number of sample, thus option B is correct
2. If the sample can is doubled , the mean of weight will remain same, option E is correct
3. C
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