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A machine that dispenses coffee is calibrated such that the machine on average dispenses 7.0 ounces. However, the company is looking to test the machine to ensure that the calibration is on point. The company chooses to randomly sample 10 cups of coffee, in which they found the average contents to be 7.4 ounces. They know the population standard deviation is 0.2 ounces. Does the company need to re-calibrate their machine, meaning has it slipped out of calibration either way? Perform a hypothesis test where α= 0.05 .Assume that the sample is normally distributed. 1.) State the Null and alternate Hypothesis: Ho: ? HA: ? 2.) Calculate you test statistic (round to two decimal places): ? ounces 3.) Identify the P-Value: ounces 4.) Compare your p-value to the significance level p-value ? α = 0.05

A machine that dispenses coffee is calibrated such that the machine on average dispenses 7.0 ounces. However, the company is looking to test the machine to ensure that the calibration is on point. The company chooses to randomly sample 10 cups of coffee, in which they found the average contents to be 7.4 ounces. They know the population standard deviation is 0.2 ounces. Does the company need to re-calibrate their machine, meaning has it slipped out of calibration either way? Perform a hypothesis test where α= 0.05 .Assume that the sample is normally distributed. 1.) State the Null and alternate Hypothesis: Ho: ? HA: ? 2.) Calculate you test statistic (round to two decimal places): ? ounces 3.) Identify the P-Value: ounces 4.) Compare your p-value to the significance level p-value ? α = 0.05

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A machine that dispenses coffee is calibrated such that the machine on average dispenses 7.0 ounces. However, the company is looking to test the machine to ensure that the calibration is on point. The company chooses to randomly sample 10 cups of coffee, in which they found the average contents to be 7.4 ounces. They know the population standard deviation is 0.2 ounces. Does the company need to re-calibrate their machine, meaning has it slipped out of calibration either way? Perform a hypothesis test where α= 0.05 .Assume that the sample is normally distributed. 1.) State the Null and alternate Hypothesis: Ho: ? ◆ HA: 2.) Calculate you test statistic(round to two decimal places): ? ◊ ? î ounces 3.) Identify the P-Value: ounces 4.) Compare your p-value to the significance level p-value ? α = 0.05
Transcribed Image Text:A machine that dispenses coffee is calibrated such that the machine on average dispenses 7.0 ounces. However, the company is looking to test the machine to ensure that the calibration is on point. The company chooses to randomly sample 10 cups of coffee, in which they found the average contents to be 7.4 ounces. They know the population standard deviation is 0.2 ounces. Does the company need to re-calibrate their machine, meaning has it slipped out of calibration either way? Perform a hypothesis test where α= 0.05 .Assume that the sample is normally distributed. 1.) State the Null and alternate Hypothesis: Ho: ? ◆ HA: 2.) Calculate you test statistic(round to two decimal places): ? ◊ ? î ounces 3.) Identify the P-Value: ounces 4.) Compare your p-value to the significance level p-value ? α = 0.05
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