A manufacturer of chocolate chips would like to know whether its bag filling mac

Question

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 411.0 gram setting, t is believed that the machine is underfilling the bags. A 44 bag sample had a mean of 405.0 grams. A level of significance of 0.05 will be used. Is there sufficient evidence to support the claim that the bags are underfiled? Assume the variance is known to be 324.00 What is the conclusion? Keypad ,Tables Answer 2 Points G There is not sufficient evidence to support the claim that the bags are underfilled. O There is sufficient evidence to support the claim that the bags are underfilled.

Explanation / Answer

Image - 1: The statistical software output for this problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 411
HA : < 411
Standard deviation = 18

Hypothesis test results:

Since p - value < 0.05, we reject Ho. Hence,

There is sufficient evidence to support the claim that bags are underfilled.

Option B is correct.

Image - 2: The statistical software output for this problem is:

One sample variance summary confidence interval:
2 : Variance of population

80% confidence interval results:

Hence,

Lower endpoint = 21.6

Upper endpoint = 47.5

Mean n Sample Mean Std. Err. Z-Stat P-value 44 405 2.7136021 -2.2110832 0.0135

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