A manufacturer of chocolate topping uses machines to dispense liquid ingredients into bottles that move along a filling line. machine that dispenses toppings is working properly when 8 grams are dispensed. The standard deviation of the process is 0 gram. Suppose that the average amount dispensed in a particular sample of 25 bottles is 7.982 grams. At the 0.05 level of significar using the critical value approach to hypothesis testing, is there evidence that the average amount dispensed is less than 8 gr.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A manufacturer of chocolate topping uses machines to dispense liquid ingredients into bottles that move along a filling line. The
machine that dispenses toppings is working properly when 8 grams are dispensed. The standard deviation of the process is 0.15
gram.
Suppose that the average amount dispensed in a particular sample of 25 bottles is 7.982 grams. At the 0.05 level of significance,
using the critical value approach to hypothesis testing, is there evidence that the average amount dispensed is less than 8 grams?
z tabulated (critical z value) is:
Seç.
z calculated is
Seç.
Test result is:
Seç.
If the true mean is 7 indeed, what type of error do you have? Sec.
Transcribed Image Text:A manufacturer of chocolate topping uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses toppings is working properly when 8 grams are dispensed. The standard deviation of the process is 0.15 gram. Suppose that the average amount dispensed in a particular sample of 25 bottles is 7.982 grams. At the 0.05 level of significance, using the critical value approach to hypothesis testing, is there evidence that the average amount dispensed is less than 8 grams? z tabulated (critical z value) is: Seç. z calculated is Seç. Test result is: Seç. If the true mean is 7 indeed, what type of error do you have? Sec.
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