In: Statistics and Probability
A manufacturer of salad dressings uses machines to dispense
liquid ingredients into bottles that move along...
- A manufacturer of salad dressings uses machines to dispense
liquid ingredients into bottles that move along a filling line. The
machine that dispenses dressings is working properly when the mean
amount dispensed is 8 ounces. The population standard deviation of
the amount dispensed is 0.15 ounce. A sample of 50 bottles is
selected periodically, and the filling line is stopped if there is
evidence that the mean amount dispensed is different from 8 ounces.
Suppose that the mean amount dispensed in a particular sample of 50
bottles is 7.983 ounces.
- Is there evidence that the population mean amount is different
from 8 ounces? (Use a 0.05 level of significance.)
- Compute the p-value and interpret its meaning.
- What is your answer in (a) if the standard deviation is 0.05
ounce?
- What is your answer in (a) if the sample mean is 7.9525 ounces
and the standard deviation is 0.15 ounce?