Afactory cans fresh pineapple in sugar syrup. the manager in charge is interested in estimating the average amount of sugar per can to within 2 mg of the true mean. from previous experiments, he knows that the (true) standard deviation of the sugar content is 15 mg. each test of measuring the amount of sugar in a can costs $5.00. one thousand dollars have been budgeted for this experiment. does the manager have enough funds to estimate the average amount of sugar per can with 95% confidence
No. He would need $1,080 to perform a test with this error.
To answer this question, we have to calculate the sample size. This is the sample size that allow to estimate the average amount of sugar per can with 95% confidence (95% CI).
The difference between the upper and lower limit of the CI have to be equal or less to e=2 mg. The z value for a 95% CI is z=1.96.
The minimum sample size needed for this error is 216. At a cost of $5/test, this sample size would cost .
This is over the budget for this experiment ($1000).
An independent variable is one which can be changed or manipulated in an experiment. The effect of the independent variable is observed on the dependent variable. The dependent variable is the one which does not change or manipulated in an experiment by the investigator. The changes that occur in the dependent variable with respect to the independent variable is the outcome of the experimentation process.
In the given situation, the medicine and the placebo drug are the independent samples whereas the effect of the medicine and placebo drug can be observed on the time they require to cure the headache is the dependent variable.
BUN(Blood, Urea, Nitrogen)
A common blood test, the blood urea nitrogen (BUN) test reveals important information about how well your kidneys and liver are working. A BUN test measures the amount of urea nitrogen that's in your blood.