Question

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 448 gram setting. Based on a 26 bag sample where the mean is 438 grams and the standard deviation is 25, is there sufficient evidence at the 0.1 level that the bags are underfilled? Assume the population distribution is approximately normal.

Step 1 of 5:

State the null and alternative hypotheses.

Step 2 of 5:

Find the value of the test statistic. Round your answer to three decimal places.

Step 3 of 5:

Specify if the test is one-tailed or two-tailed.

Step 4 of 5:

Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Step 5 of 5:

Make the decision to reject or fail to reject the null hypothesis.

Answer 1

Solution:

Step 1 of 5:

State the null and alternative hypotheses.

Step 2 of 5:

Find the value of the test statistic. Round your answer to three decimal places.

Step 3 of 5:

Specify if the test is one-tailed or two-tailed.

The test is one-tailed because the alternative hypothesis is left-tailed

Step 4 of 5:

Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Reject the null hypothesis, if

Step 5 of 5:

Make the decision to reject or fail to reject the null hypothesis.

Reject the null hypothesis because the test statistic falls in the rejection region