Ground beef is packaged in small trays, intended to hold 1 pound of meat. A random sample of 30 packages in the small tray produced weight measurements with an average of 1.02 pounds and a standard deviation of 0.16 pounds. (a) If you were the quality control manager and wanted make sure that the average amount of ground beef was indeed 1 pound, what hypotheses would you test? O Ho: μ# 1 versus H₁: μ = 1 O Ho: μ = 1 versus H₂: μ > 1 ⒸH₁: = 1 versus H₂:μ 1 O Ho: μ< 1 versus H₂: μ> 1 O Ho: μ = 1 versus H₂: μ< 1 (b) Find the p-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 a = 0.05.) O Since the p-value is greater than alpha, Ho is not rejected. O Since the p-value is less than alpha, Ho is not rejected. O Since the p-value is greater than alpha, Ho is rejected. O Since the p-value is less than alpha, Ho is rejected. (c) How would you, as the quality control manager, report the results of your study to a consumer interest group? O Since the sample average is greater than 1, all meat trays will weigh at least 1 pound. O There is insufficient evidence to indicate that the average amount of ground beef is different from 1 pound. O There is a 95% chance that any meat tray selected will weigh 1 pound. O There is a 5% chance that any meat tray selected will weigh 1 pound. O There is sufficient evidence to indicate that the average amount of ground beef is different from 1 pound.

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Ground beef is packaged in small trays, intended to hold 1 pound of meat. A random sample of 30 packages in the small tray produced weight measurements with an average of 1.02 pounds and a standard deviation of 0.16 pounds.
(a) If you were the quality control manager and wanted to make sure that the average amount of ground beef was indeed 1 pound, what hypotheses would you test?
O Ho: μ # 1 versus H₂: μ = 1
O Ho: μ = 1 versus H₂: μ> 1
O Ho: μ = 1 versus H₂: μ = 1
O Ho: μ< 1 versus H₂: μ > 1
O Ho: μ = 1 versus H₂: μ< 1
(b) Find the p-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 α = 0.05.)
O Since the p-value is greater than alpha, Ho is not rejected.
O Since the p-value is less than alpha, Ho is not rejected.
O Since the p-value is greater than alpha, Ho is rejected.
O Since the p-value is less than alpha, Ho is rejected.
(c) How would you, as the quality control manager, report the results of your study to a consumer interest group?
O Since the sample average is greater than 1, all meat trays will weigh at least 1 pound.
O There is insufficient evidence to indicate that the average amount of ground beef is different from 1 pound.
O There is a 95% chance that any meat tray selected will weigh 1 pound.
O There is a 5% chance that any meat tray selected will weigh 1 pound.
O There is sufficient evidence to indicate that the average amount of ground beef is different from 1 pound.
Transcribed Image Text:Ground beef is packaged in small trays, intended to hold 1 pound of meat. A random sample of 30 packages in the small tray produced weight measurements with an average of 1.02 pounds and a standard deviation of 0.16 pounds. (a) If you were the quality control manager and wanted to make sure that the average amount of ground beef was indeed 1 pound, what hypotheses would you test? O Ho: μ # 1 versus H₂: μ = 1 O Ho: μ = 1 versus H₂: μ> 1 O Ho: μ = 1 versus H₂: μ = 1 O Ho: μ< 1 versus H₂: μ > 1 O Ho: μ = 1 versus H₂: μ< 1 (b) Find the p-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 α = 0.05.) O Since the p-value is greater than alpha, Ho is not rejected. O Since the p-value is less than alpha, Ho is not rejected. O Since the p-value is greater than alpha, Ho is rejected. O Since the p-value is less than alpha, Ho is rejected. (c) How would you, as the quality control manager, report the results of your study to a consumer interest group? O Since the sample average is greater than 1, all meat trays will weigh at least 1 pound. O There is insufficient evidence to indicate that the average amount of ground beef is different from 1 pound. O There is a 95% chance that any meat tray selected will weigh 1 pound. O There is a 5% chance that any meat tray selected will weigh 1 pound. O There is sufficient evidence to indicate that the average amount of ground beef is different from 1 pound.
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