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 calculated is Seç. Seç. -1.645 Type I error Significance error z tabulated (critical z value) is: Test result is: If the true mean is 7 indeed, what type of error do you have? 1.2 Reiect the null hypothesis

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 calculated is
Seç.
z tabulated (critical z value) is:
Seç.
-1.645
Test result is:
Type I error
Significance error
If the true mean is 7 indeed, what type of error do you have? 1.2
Reject the null hypothesis
Do not reject the null hypothesis
-1.96
Type Il error
-1.2
руi bitir
-0.6
-1
0.6
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 calculated is Seç. z tabulated (critical z value) is: Seç. -1.645 Test result is: Type I error Significance error If the true mean is 7 indeed, what type of error do you have? 1.2 Reject the null hypothesis Do not reject the null hypothesis -1.96 Type Il error -1.2 руi bitir -0.6 -1 0.6
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