The inspection division of the Lee County Weights and Measures Department is interested in estimating the population mean of the amount of soft drink that is placed in 2-quart bottles at the local bottling plant of a large nationally known soft-drink company. The bottling plant has informed the inspection division that the population standard deviation for 2-quart bottles is .2 quart. A random sample of 100 2-quart bottles obtained from this bottling plant indicated a sample mean of 1.95 quarts. Is the population mean filling weight of 2-quarts being maintained by this process? Conduct an appropriate test of hypothesis for the population mean using an alpha level of .05. Step 1. (4) State the null hypothesis Ho and the alternative hypothesis H1. Step 2. (4) State the level of significance a and the sample size n. Step 3. (4) Determine the appropriate test statistic and sampling distribution. Step 4. (4) Determine the critical value(s) that divide the rejection and nonrejection regions. Step 5. (4) Compute the value of the test statistic. Step 6. (4) Make the statistical decision and state the managerial conclusion in the context of the cla being tested.

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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The inspection division of the Lee County Weights and Measures Department is interested in estimating
the population mean of the amount of soft drink that is placed in 2-quart bottles at the local bottling plant
of a large nationally known soft-drink company. The bottling plant has informed the inspection division
that the population standard deviation for 2-quart bottles is .2 quart. A random sample of 100 2-quart
bottles obtained from this bottling plant indicated a sample mean of 1.95 quarts. Is the population mean
filling weight of 2-quarts being maintained by this process? Conduct an appropriate test of hypothesis
for the population mean using an alpha level of .05.
Step 1. (4) State the null hypothesis Ho and the alternative hypothesis H1.
Step 2. (4) State the level of significance a and the sample size n.
Step 3. (4) Determine the appropriate test statistic and sampling distribution.
Step 4. (4) Determine the critical value(s) that divide the rejection and nonrejection regions.
Step 5. (4) Compute the value of the test statistic.
Step 6. (4) Make the statistical decision and state the managerial conclusion in the context of the cla
being tested.
Transcribed Image Text:The inspection division of the Lee County Weights and Measures Department is interested in estimating the population mean of the amount of soft drink that is placed in 2-quart bottles at the local bottling plant of a large nationally known soft-drink company. The bottling plant has informed the inspection division that the population standard deviation for 2-quart bottles is .2 quart. A random sample of 100 2-quart bottles obtained from this bottling plant indicated a sample mean of 1.95 quarts. Is the population mean filling weight of 2-quarts being maintained by this process? Conduct an appropriate test of hypothesis for the population mean using an alpha level of .05. Step 1. (4) State the null hypothesis Ho and the alternative hypothesis H1. Step 2. (4) State the level of significance a and the sample size n. Step 3. (4) Determine the appropriate test statistic and sampling distribution. Step 4. (4) Determine the critical value(s) that divide the rejection and nonrejection regions. Step 5. (4) Compute the value of the test statistic. Step 6. (4) Make the statistical decision and state the managerial conclusion in the context of the cla being tested.
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