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# Statistics - Hypothesis Testing

1.A company is filling bags of rock salt to a level of 50 pounds. It believes that all bags are filled correctly, but would like to use a hypothesis test with an alpha of 0.05 to check this belief. The company will be using samples of 100 bags from each run to do the test. State the null and alternative hypotheses:

Is this a two tailed, upper tail, or lower tail test?
What is or are the Z-cutoff values for the rejection region(s)?
What is the correct equation for calculating Z for this problem?

2.In a similar problem, a company wants to verify that it is putting at least two pounds of coffee into its two pound coffee cans. Samples of 20 cans will be taken from each run to make the test at an alpha of 0.05. What type of test should be performed?
Z test t test

How many degrees of freedom does this test have?
State the null and alternative hypotheses?
Is this a two-tailed, upper tail, or lower tail test?
What is/are the critical values for the rejection region?
What is the correct equation for calculating Z for a problem involving proportions?

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