Cough-a-Lot children’s cough syrup is supposed to contain 6 ounces of medicine per bottle. However, since the filling machine is not always precise, there can be variations from bottle to bottle. The amounts in the bottles are normally distributed with σ = 0.3 ounces. A quality assurance inspector measures 10 bottles and finds the following (in ounces): 5.95 6.10 5.98 6.01 6.25 5.85 5.91 6.05 5.88 5.91. Are the results enough evidence to conclude that the bottles are not filled adequately at the labeled amount of 6 ounces per bottle? a. State the hypothesis you will test. b. Calculate the test statistic. c. Find the P-value. d. What is the conclusion?

A

a. H0: the mean volume of all the bottles is 6 ounces. Ha: the mean volume of all the bottles is not equal to 6 ounces.

b. The z-score is equal to:

z = ((x-μ)/√(σ2/N)) = 5.989-(6/√(0.09/10)) = -0.115

c. The p-value is equal to 0.907.
d. The null hypothesis should be accepted.

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Academic.Tips. (2021) 'Cough-a-Lot children’s cough syrup is supposed to contain 6 ounces of medicine per bottle. However, since the filling machine is not always precise, there can be variations from bottle to bottle. The amounts in the bottles are normally distributed with σ = 0.3 ounces. A quality assurance inspector measures 10 bottles and finds the following (in ounces): 5.95 6.10 5.98 6.01 6.25 5.85 5.91 6.05 5.88 5.91. Are the results enough evidence to conclude that the bottles are not filled adequately at the labeled amount of 6 ounces per bottle? a. State the hypothesis you will test. b. Calculate the test statistic. c. Find the P-value. d. What is the conclusion'. 15 July.

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Academic.Tips. (2021, July 15). Cough-a-Lot children’s cough syrup is supposed to contain 6 ounces of medicine per bottle. However, since the filling machine is not always precise, there can be variations from bottle to bottle. The amounts in the bottles are normally distributed with σ = 0.3 ounces. A quality assurance inspector measures 10 bottles and finds the following (in ounces): 5.95 6.10 5.98 6.01 6.25 5.85 5.91 6.05 5.88 5.91. Are the results enough evidence to conclude that the bottles are not filled adequately at the labeled amount of 6 ounces per bottle? a. State the hypothesis you will test. b. Calculate the test statistic. c. Find the P-value. d. What is the conclusion? Retrieved from https://academic.tips/question/cough-a-lot-childrens-cough-syrup-is-supposed-to-contain-6-ounces-of-medicine-per-bottle-however-since-the-filling-machine-is-not-always-precise-there-can-be-variations-from-bottle-to-bott/

References

Academic.Tips. 2021. "Cough-a-Lot children’s cough syrup is supposed to contain 6 ounces of medicine per bottle. However, since the filling machine is not always precise, there can be variations from bottle to bottle. The amounts in the bottles are normally distributed with σ = 0.3 ounces. A quality assurance inspector measures 10 bottles and finds the following (in ounces): 5.95 6.10 5.98 6.01 6.25 5.85 5.91 6.05 5.88 5.91. Are the results enough evidence to conclude that the bottles are not filled adequately at the labeled amount of 6 ounces per bottle? a. State the hypothesis you will test. b. Calculate the test statistic. c. Find the P-value. d. What is the conclusion?" July 15, 2021. https://academic.tips/question/cough-a-lot-childrens-cough-syrup-is-supposed-to-contain-6-ounces-of-medicine-per-bottle-however-since-the-filling-machine-is-not-always-precise-there-can-be-variations-from-bottle-to-bott/.

1. Academic.Tips. "Cough-a-Lot children’s cough syrup is supposed to contain 6 ounces of medicine per bottle. However, since the filling machine is not always precise, there can be variations from bottle to bottle. The amounts in the bottles are normally distributed with σ = 0.3 ounces. A quality assurance inspector measures 10 bottles and finds the following (in ounces): 5.95 6.10 5.98 6.01 6.25 5.85 5.91 6.05 5.88 5.91. Are the results enough evidence to conclude that the bottles are not filled adequately at the labeled amount of 6 ounces per bottle? a. State the hypothesis you will test. b. Calculate the test statistic. c. Find the P-value. d. What is the conclusion?" July 15, 2021. https://academic.tips/question/cough-a-lot-childrens-cough-syrup-is-supposed-to-contain-6-ounces-of-medicine-per-bottle-however-since-the-filling-machine-is-not-always-precise-there-can-be-variations-from-bottle-to-bott/.

Bibliography

Academic.Tips. "Cough-a-Lot children’s cough syrup is supposed to contain 6 ounces of medicine per bottle. However, since the filling machine is not always precise, there can be variations from bottle to bottle. The amounts in the bottles are normally distributed with σ = 0.3 ounces. A quality assurance inspector measures 10 bottles and finds the following (in ounces): 5.95 6.10 5.98 6.01 6.25 5.85 5.91 6.05 5.88 5.91. Are the results enough evidence to conclude that the bottles are not filled adequately at the labeled amount of 6 ounces per bottle? a. State the hypothesis you will test. b. Calculate the test statistic. c. Find the P-value. d. What is the conclusion?" July 15, 2021. https://academic.tips/question/cough-a-lot-childrens-cough-syrup-is-supposed-to-contain-6-ounces-of-medicine-per-bottle-however-since-the-filling-machine-is-not-always-precise-there-can-be-variations-from-bottle-to-bott/.

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"Cough-a-Lot children’s cough syrup is supposed to contain 6 ounces of medicine per bottle. However, since the filling machine is not always precise, there can be variations from bottle to bottle. The amounts in the bottles are normally distributed with σ = 0.3 ounces. A quality assurance inspector measures 10 bottles and finds the following (in ounces): 5.95 6.10 5.98 6.01 6.25 5.85 5.91 6.05 5.88 5.91. Are the results enough evidence to conclude that the bottles are not filled adequately at the labeled amount of 6 ounces per bottle? a. State the hypothesis you will test. b. Calculate the test statistic. c. Find the P-value. d. What is the conclusion?" Academic.Tips, 15 July 2021, academic.tips/question/cough-a-lot-childrens-cough-syrup-is-supposed-to-contain-6-ounces-of-medicine-per-bottle-however-since-the-filling-machine-is-not-always-precise-there-can-be-variations-from-bottle-to-bott/.

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