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Keith suspects a certain machine at a candy factory is underfilling 5 oz bags of

ID: 3230519 • Letter: K

Question

Keith suspects a certain machine at a candy factory is underfilling 5 oz bags of chocolate. He plans to conduct a left-tailed one-sample ttest of the following null and alternative hypotheses, using a simple random sample of 20 bags filled by the machine in question, and a significance level of =0.05. H0:H1:=5 oz<5 oz Bags of chocolate filled by a specific machine are normally distributed, and the sample does not have any outliers. The summary statistics for the test are given in the table below. Sample size n20

Sample mean x4.8 oz

Sample standard deviation s 0.35 oz

Test statistict –2.56

The pvalue for this test is 0.010.

Using this information, fill in the blanks to write the correct conclusion about this test. Some blanks use a drop-down menu, and others require you to enter a number. The decision is to_______ the null hypothesis at significance level =0.05 (p=0.010). There is_______ that the mean weight for________ is____ _____0z

Explanation / Answer

Given that P = 0.01 <0.05

Hence we reject Ho.

The decision is to reject the null hypothesis at significance level =0.05 (p=0.010). There is enough evidence that the mean weight is() <5oz