Question

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 441 gram setting. Is there sufficient evidence at the 0.05 level that the bags are overfilled? Based on a 25 bag sample, the manufacturer decides to reject the null hypothesis. What is the conclusion?

Answer 1

Solution:-

= 0.05

Null and Alternative

H_{​​​​​​0} : μ=441gm

H​​​​​​_{​​​​​​a} : μ=441gm

From the given information in question,

Reject null hypothesis (H_{​​​​​​0})

Conclusion:- Hence, we conclude that at 5% level of significance there is is sufficient evidence to support the claim that the bags are overfilled.