t-Test: One-Sample Mean (weight) 18.4 Variance 0.9 Observations 40 t-statistic 2.67 P(t = T) two-tail 0.011   A. what is my null & alternative hypothesis? B. Calc difference between sample mean & hypothesized mean. c. Can we reject null hypothesis?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A cereal company wants to make sure the machine used to fill boxes of cereal is working properly. The machine is supposed to fill each box with 18 ounces of cereal. To test the machine’s accuracy, you sampled the weight of 40 boxes of cereal. To determine if the machine needs maintenance, you conduct a one-sample t-test (see results in K2:M7). If the average weight statistically differs from 18 ounces, you will order a maintenance repair. But because the repair can be costly and because there are potential punitive costs for not selling food products at the advertised weight, you want to be 95% confident in the results. 


t-Test: One-Sample
Mean (weight) 18.4
Variance 0.9
Observations 40
t-statistic 2.67
P(t = T) two-tail

0.011

 

A. what is my null & alternative hypothesis?
B. Calc difference between sample mean & hypothesized mean.

c. Can we reject null hypothesis?

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