+ 1/4 points | Previous Answers MendStatC4 9.E.013 My Notes Ask Your The meat de

Question

+ 1/4 points | Previous Answers MendStatC4 9.E.013 My Notes Ask Your The meat department of a local supermarket chain packages ground beef in trays of two sizes. The smaller tray is intended to hold 1 kilogram (kg) of meat. A random sample of 35 packages in the smaller meat tray produced weight measurements with an average of 1.01 kg and a standard deviation of 21 grams (a) If you were the quality control manager and wanted to make sure that the average amount of ground beef was indeed 1 kg, what hypotheses would you test? O Ho: 1 0H0: # 1 versus Ha: 1 O Ho: -1 versus Ha: > 1 O Ho: -1 versus Ha:

Explanation / Answer

Ans:

b)Test statistic:

t=(1.01-1)/(0.021/sqrt(35))

t=2.82

df=35-1=34

p-value=tdist(2.82,34,2)=0.0080

Since the p-value is less than 0.05,reject the null hypothesis.

c)

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

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