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. Part i) Suppose the number of cans drawn is doubled. How will the standard deviation of sample mean weight change? O A. It will decrease by a factor of 2. O B. It will decrease by a factor of v2. O C.It will increase by a factor of y2. O D. It will increase by a factor of 2. O E. It will remain unchanged. Part ii) Suppose the number of cans drawn is doubled. How will the mean of the sample mean weight change? O A. It will increase by a factor of V2. O B. It will decrease by a factor of v2. O C.It will increase by a factor of 2. O D. It will decrease by a factor of 2. O E. It will remain unchanged.
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. Part i) Suppose the number of cans drawn is doubled. How will the standard deviation of sample mean weight change? O A. It will decrease by a factor of 2. O B. It will decrease by a factor of v2. O C.It will increase by a factor of y2. O D. It will increase by a factor of 2. O E. It will remain unchanged. Part ii) Suppose the number of cans drawn is doubled. How will the mean of the sample mean weight change? O A. It will increase by a factor of V2. O B. It will decrease by a factor of v2. O C.It will increase by a factor of 2. O D. It will decrease by a factor of 2. O E. It will remain unchanged.
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
Transcribed Image Text:Part iii) Consider the statement: 'The distribution of the mean weight of the sampled cans of Ocean brand tuna is Normal.'
O A. It is a correct statement, but it is not a result of the Central Limit Theorem.
O B. It is a correct statement, and it is a result of the Central Limit Theorem.
C. It is an incorrect statement. The distribution of the mean weight of the sample is not Normal.

Transcribed Image Text: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.
Part i) Suppose the number of cans drawn is doubled. How will the standard deviation of sample mean weight change?
O A. It will decrease by a factor of 2.
O B. It will decrease by a factor of 2.
O C. It will increase by a factor of v2.
O D. It will increase by a factor of 2.
O E. It will remain unchanged.
Part ii) Suppose the number of cans drawn is doubled. How will the mean of the sample mean weight change?
O A. It will increase by a factor of v2.
O B. It will decrease by a factor of y2.
O C. It will increase by a factor of 2.
O D. It will decrease by a factor of 2.
E. It will remain unchanged.
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