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(a) Suppose the next to the last sentence is changed to read: Does this evidence suggest that the mean amount dispensed is more than 16 ounces? State the null hypothesis and the alternate hypothesis under these conditions. (b) What is the decision rule under the new conditions stated in part (a)? (c) A second sample of 50 filled containers revealed the mean to be 16.040 ounces. What is the value of the test statistic for this sample? (d) What is your decision regarding the null hypothesis? (e) Interpret, in a single sentence, the result of the statistical test. (1) What is the p-value? What is your decision regarding the null hypothesis based on the p-value? Is this the same conclusion reached in part (d)?

(a) Suppose the next to the last sentence is changed to read: Does this evidence suggest that the mean amount dispensed is more than 16 ounces? State the null hypothesis and the alternate hypothesis under these conditions. (b) What is the decision rule under the new conditions stated in part (a)? (c) A second sample of 50 filled containers revealed the mean to be 16.040 ounces. What is the value of the test statistic for this sample? (d) What is your decision regarding the null hypothesis? (e) Interpret, in a single sentence, the result of the statistical test. (1) What is the p-value? What is your decision regarding the null hypothesis based on the p-value? Is this the same conclusion reached in part (d)?

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
Section10.3: Measures Of Spread
Problem 11PPS
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ANSWER D, E, AND F ONLY

 

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Self-Review 10-1 Heinz, a manufacturer of ketchup, uses a particular machine to dispense 16 ounces of its ketchup into containers. From many years of experience with the particular dispensing machine, Heinz knows the amount of product in each container follows a normal distribution with a mean of 16 ounces and a standard deviation HEINZ TOMATO ETCHUP of 0.15 ounce. A sample of 50 containers filled last hour revealed the mean amount per container was 16.017 ounces. Does this evidence suggest that the mean amount dispensed is different from 16 ounces? Use the .05 significance level.
Transcribed Image Text:Self-Review 10-1 Heinz, a manufacturer of ketchup, uses a particular machine to dispense 16 ounces of its ketchup into containers. From many years of experience with the particular dispensing machine, Heinz knows the amount of product in each container follows a normal distribution with a mean of 16 ounces and a standard deviation HEINZ TOMATO ETCHUP of 0.15 ounce. A sample of 50 containers filled last hour revealed the mean amount per container was 16.017 ounces. Does this evidence suggest that the mean amount dispensed is different from 16 ounces? Use the .05 significance level.
Self-Review 10-2 Refer to Self-Review 10-1. (a) Suppose the next to the last sentence is changed to read: Does this evidence suggest that the mean amount dispensed is more than 16 ounces? State the null hypothesis and the alternate hypothesis under these conditions. (b) What is the decision rule under the new conditions stated in part (a)? (c) A second sample of 50 filled containers revealed the mean to be 16.040 ounces. What is the value of the test statistic for this sample? (d) What is your decision regarding the null hypothesis? (e) Interpret, in a single sentence, the result of the statistical test. (f) What is the p-value? What is your decision regarding the null hypothesis based on the p-value? Is this the same conclusion reached in part (d)?
Transcribed Image Text:Self-Review 10-2 Refer to Self-Review 10-1. (a) Suppose the next to the last sentence is changed to read: Does this evidence suggest that the mean amount dispensed is more than 16 ounces? State the null hypothesis and the alternate hypothesis under these conditions. (b) What is the decision rule under the new conditions stated in part (a)? (c) A second sample of 50 filled containers revealed the mean to be 16.040 ounces. What is the value of the test statistic for this sample? (d) What is your decision regarding the null hypothesis? (e) Interpret, in a single sentence, the result of the statistical test. (f) What is the p-value? What is your decision regarding the null hypothesis based on the p-value? Is this the same conclusion reached in part (d)?
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