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Retail milk price report. Refer to the US Department of Agriculture's monthly Retail Milk Prices Report, intro- duced in Exercise 6.29 (p. 328). The December 2019 prices (dollars per gallon) for conventional whole milk for a sample of 10 US cities are reproduced in the accompany- ing table. Suppose a dairy farmer believes that true mean December 2019 retail whole milk price for all US cities exceeds $3.30. US City Atlanta, GA Boston, MA Cincinnati, OH Dallas, TX Detroit, MI Miami, FL New Orleans, LA Pittsburgh, PA Syracuse, NY Washington, DC Price ($/gallon) 3.72 3.32 3.09 2.59 2.72 4.02 3.95 4.34 a. Set up the null and alternative hypotheses for testing the dairy farmer's claim. 3.45 3.82 b. Compute the test statistic. e. Give the rejection region for the test. d. Make the appropriate conclusion using a = .01. e. In the context of the problem, interpret the value a=.01. N Mean StDev SE Mean 10 1.502 0574 0.182 ofice) f. A Minitab printout giving the test results is shown on the next page. Find and interpret the p-value of the test. g. What conditions must be satisfied for inferences de- rived from the test to be valid? One-Sample T: Price ($/gallon) Descriptive Statistics Test Null hypothesis Alternative hypothesis Hup>33 T-Value P-Value 1.11 0.147 Use a = 0.01 for part e as well. 99% Lower Bound for y 2.990

Retail milk price report. Refer to the US Department of Agriculture's monthly Retail Milk Prices Report, intro- duced in Exercise 6.29 (p. 328). The December 2019 prices (dollars per gallon) for conventional whole milk for a sample of 10 US cities are reproduced in the accompany- ing table. Suppose a dairy farmer believes that true mean December 2019 retail whole milk price for all US cities exceeds $3.30. US City Atlanta, GA Boston, MA Cincinnati, OH Dallas, TX Detroit, MI Miami, FL New Orleans, LA Pittsburgh, PA Syracuse, NY Washington, DC Price ($/gallon) 3.72 3.32 3.09 2.59 2.72 4.02 3.95 4.34 a. Set up the null and alternative hypotheses for testing the dairy farmer's claim. 3.45 3.82 b. Compute the test statistic. e. Give the rejection region for the test. d. Make the appropriate conclusion using a = .01. e. In the context of the problem, interpret the value a=.01. N Mean StDev SE Mean 10 1.502 0574 0.182 ofice) f. A Minitab printout giving the test results is shown on the next page. Find and interpret the p-value of the test. g. What conditions must be satisfied for inferences de- rived from the test to be valid? One-Sample T: Price ($/gallon) Descriptive Statistics Test Null hypothesis Alternative hypothesis Hup>33 T-Value P-Value 1.11 0.147 Use a = 0.01 for part e as well. 99% Lower Bound for y 2.990

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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7.52 Retail milk price report. Refer to the US Department of Agriculture's monthly Retail Milk Prices Report, intro- duced in Exercise 6.29 (p. 328). The December 2019 prices (dollars per gallon) for conventional whole milk for a sample of 10 US cities are reproduced in the accompany- ing table. Suppose a dairy farmer believes that true mean December 2019 retail whole milk price for all US cities exceeds $3.30. RMPR US City Atlanta, GA Boston, MA Cincinnati, OH Dallas, TX Detroit, MI Miami, FL New Orleans, LA Pittsburgh, PA Syracuse, NY Washington, DC Price ($/gallon) 3.72 3.32 3.09 2.59 2.72 4.02 a. Set up the null and alternative hypotheses for testing the dairy farmer's claim. b. Compute the test statistic. c. Give the rejection region for the test. d. Make the appropriate conclusion using a = .01. e. In the context of the problem, interpret the value a = .01. f. A Minitab printout giving the test results is shown on the next page. Find and interpret the p-value of the test. g. What conditions must be satisfied for inferences de- rived from the test to be valid? One-Sample T: Price ($/gallon) Descriptive Statistics N Mean StDev SE Mean 10 3.502 0.574 0.182 mean of Price go Test Null hypothesis Alternative hypothesis T-Value P-Value 0.147 3.95 4.34 3.45 3.82 Hyp=33 Hup>3.3 99% Lower Bound for u 2.990 1.11 Use a = 0.01 for part e as well.
Transcribed Image Text:7.52 Retail milk price report. Refer to the US Department of Agriculture's monthly Retail Milk Prices Report, intro- duced in Exercise 6.29 (p. 328). The December 2019 prices (dollars per gallon) for conventional whole milk for a sample of 10 US cities are reproduced in the accompany- ing table. Suppose a dairy farmer believes that true mean December 2019 retail whole milk price for all US cities exceeds $3.30. RMPR US City Atlanta, GA Boston, MA Cincinnati, OH Dallas, TX Detroit, MI Miami, FL New Orleans, LA Pittsburgh, PA Syracuse, NY Washington, DC Price ($/gallon) 3.72 3.32 3.09 2.59 2.72 4.02 a. Set up the null and alternative hypotheses for testing the dairy farmer's claim. b. Compute the test statistic. c. Give the rejection region for the test. d. Make the appropriate conclusion using a = .01. e. In the context of the problem, interpret the value a = .01. f. A Minitab printout giving the test results is shown on the next page. Find and interpret the p-value of the test. g. What conditions must be satisfied for inferences de- rived from the test to be valid? One-Sample T: Price ($/gallon) Descriptive Statistics N Mean StDev SE Mean 10 3.502 0.574 0.182 mean of Price go Test Null hypothesis Alternative hypothesis T-Value P-Value 0.147 3.95 4.34 3.45 3.82 Hyp=33 Hup>3.3 99% Lower Bound for u 2.990 1.11 Use a = 0.01 for part e as well.
Minitab - Untitled File Edit 广日 Navigator Data Calc Stat Graph View Help Assistant Predictive Analytics Module Additional Tools ४० डल में 0? fx FARVAL ↓ 1 2 3 +5600 4 7 8 C1-T US City Pittsburgh, PA 9 Syracuse, NY 10 Washington, DC 11 12 13 14 15 Atlanta, GA Boston, MA Cincinnati, OH Dallas, TX Detroit, MI Miami, FL New Orleans, LA C2 Price ($/gallon) EK ▷ ▶ + RMPR.mwx 3.72 3.32 3.09 2.59 2.72 4.02 3.95 4.34 3,45 3.82 C3 C4 Minitab C5 Open Ctrl+O New Project New Worksheet C6 C7 Ctrl+Shift+N Ctrl+N ◄ C8 C9 C10 C11 C12 C13 C14 C15
Transcribed Image Text:Minitab - Untitled File Edit 广日 Navigator Data Calc Stat Graph View Help Assistant Predictive Analytics Module Additional Tools ४० डल में 0? fx FARVAL ↓ 1 2 3 +5600 4 7 8 C1-T US City Pittsburgh, PA 9 Syracuse, NY 10 Washington, DC 11 12 13 14 15 Atlanta, GA Boston, MA Cincinnati, OH Dallas, TX Detroit, MI Miami, FL New Orleans, LA C2 Price ($/gallon) EK ▷ ▶ + RMPR.mwx 3.72 3.32 3.09 2.59 2.72 4.02 3.95 4.34 3,45 3.82 C3 C4 Minitab C5 Open Ctrl+O New Project New Worksheet C6 C7 Ctrl+Shift+N Ctrl+N ◄ C8 C9 C10 C11 C12 C13 C14 C15
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