A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 408.0 gram setting. It is believed that the machine is underfilling the bags. A 45 bag sample had a mean of 406.0 grams. A level of significance of 0.01 will be used. Is there sufficient evidence to support the claim that the bags are underfilled

There is no sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Null [H0] : chips x = 408

Alternate [H1] : chips x < 408

t = ( x' - u ) / (s / √n)

x' = sample mean , u = population mean, s = standard deviation, n = no. of observations.

(406 - 408) / (21 /√45)

-2 / 3.13

= 0.64

t value for α = 0.01 (one tailed), with degree of freedom = 44  : is 2.41

As calculated t 0.64 < tabulated t 2.41. So we don't reject the null hypothesis & state that chips x = 408

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