Ground beef is packaged in small trays, intended to hold1 poundof meat. A random sample of30packagesin the small tray produced weight measurements with an average of1.04poundsand a standard deviation of0.12pounds.

(a)

If you were the quality control manager and wanted to make sure that the average amount of ground beef was indeed1 pound,what hypotheses would you test?

H₀:= 1 versusH_a:< 1

H₀:= 1 versusH_a:1

H₀:1 versusH_a:= 1

H₀:= 1 versusH_a:> 1

H₀:< 1 versusH_a:> 1

(b)

Find thep-value for the test and use it to perform the test in part (a). (Round your answer to four decimal places.)

p-value =

State your conclusion. (Use= 0.05.)

Since thep-value is less than alpha,H₀is not rejected.

Since thep-value is greater than alpha,H₀is not rejected.

Since thep-value is greater than alpha,H₀is rejected.

Since thep-value is less than alpha,H₀is rejected.

(c)

How would you, as the quality control manager, report the results of your study to a consumer interest group?

There is a 5% chance that any meat tray selected will weigh 1 pound.

Since the sample average is greater than 1, all meat trays will weigh at least 1 pound.

There is insufficient evidence to indicate that the average amount of ground beef is different from 1 pound.

There is sufficient evidence to indicate that the average amount of ground beef is different from 1 pound.

There is a 95% chance that any meat tray selected will weigh 1 pound.

You may need to use the appropriateappendix tableortechnologyto answer this question.