A potato chip manufacturer produces bags of potato chips that are supposed to have a net weight of 326 grams. Because th
Posted: Wed May 11, 2022 6:48 am
A potato chip manufacturer produces bags of potato chips that
are supposed to have a net weight of 326 grams. Because the
chips vary in size, it is difficult to fill the bags to the exact
weight desired. However, the bags pass inspection so long as the
standard deviation of their weights is no more than 5 grams. A
quality control inspector wished to test the claim that one batch
of bags has a standard deviation of more than 5 grams, and thus
does not pass inspection. If a sample of 29 bags of potato
chips is taken and the standard deviation is found to be 5.2 grams,
does this evidence, at the 0.10 level of significance, support the
claim that the bags should fail inspection? Assume that the weights
of the bags of potato chips are normally distributed.
Step 1 of 3: State the null and alternative hypotheses for the
test. Fill in the blank below.
H0: σ=5
Ha: σ⎯⎯5
Step 2 of 3:
Compute the value of the test statistic. Round your answer to
three decimal places.
Step 3 of 3:
Draw a conclusion and interpret the decision.
are supposed to have a net weight of 326 grams. Because the
chips vary in size, it is difficult to fill the bags to the exact
weight desired. However, the bags pass inspection so long as the
standard deviation of their weights is no more than 5 grams. A
quality control inspector wished to test the claim that one batch
of bags has a standard deviation of more than 5 grams, and thus
does not pass inspection. If a sample of 29 bags of potato
chips is taken and the standard deviation is found to be 5.2 grams,
does this evidence, at the 0.10 level of significance, support the
claim that the bags should fail inspection? Assume that the weights
of the bags of potato chips are normally distributed.
Step 1 of 3: State the null and alternative hypotheses for the
test. Fill in the blank below.
H0: σ=5
Ha: σ⎯⎯5
Step 2 of 3:
Compute the value of the test statistic. Round your answer to
three decimal places.
Step 3 of 3:
Draw a conclusion and interpret the decision.