A manufacturer of banana chips would like to know whether its bag filling machin

Question

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 422 gram setting. It is believed that the machine is underfilling the bags. A 28 bag sample had a mean of 415 grams with a variance of 361. A level of significance of 0.05 will be used. Determine the P-value of the test statistic. Round your answer to 4 decimal places. Assume the population is normally distributed. Enter the P-value of the test statistic. You may enter the P-value as a range using interval notation, or you may enter an exact value Answer: (Round your answer to 4 decimal places.)

Explanation / Answer

VARIANCE = 361

STANDARD DEVIATION = SQRT(361) = 19

THE TEST STATIC = (415- 422)/(19/SQRT(28)) = -1.949

AS THE DEGREE OF FREEDON = 28-1 = 27

THE SIGNIFICANCE LEVEL = 0.05

THEREFORE FROM THE T TABLE THE P VALUE = 0.0308

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