A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 445 gram setting. Based on a 29 bag sample where the mean is 438 grams and the variance is 676, is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal. Step 1 of 5 :  State the null and alternative hypotheses.

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 445 gram setting. Based on a 29 bag sample where the mean is 438 grams and the variance is 676, is there sufficient evidence at the 0.1 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal.

Step 1 of 5 : 

State the null and alternative hypotheses.

 
 
 
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