A manufacturer fills soda bottles. Periodically the company tests to see if there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. A random sample of 12 bottles of regular cola has a mean of 500.6 mL of soda with a standard deviation of 2.6 mL. A random sample of 19 bottles of diet cola has a mean of 498.4 mL of soda with a standard deviation of 4.4 mL. Test the claim that there is a difference between the mean fill levels for the two types of soda using a 0.05 level of significance. Assume that both populations are approximately normal and that the population variances are not equal since different machines are used to fill bottles of regular cola and diet cola. Let bottles of regular cola be Population 1 and let bottles of diet cola be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
A manufacturer fills soda bottles. Periodically the company tests to see if there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. A random sample of 12 bottles of regular cola has a mean of 500.6 mL of soda with a standard deviation of 2.6 mL. A random sample of 19 bottles of diet cola has a mean of 498.4 mL of soda with a standard deviation of 4.4 mL. Test the claim that there is a difference between the mean fill levels for the two types of soda using a 0.05 level of significance. Assume that both populations are approximately normal and that the population variances are not equal since different machines are used to fill bottles of regular cola and diet cola. Let bottles of regular cola be Population 1 and let bottles of diet cola be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:A manufacturer fills soda bottles. Periodically the company tests to see if there is a difference between the mean amounts of soda put in bottles of regular cola and diet
cola. A random sample of 12 bottles of regular cola has a mean of 500.6 mL of soda with a standard deviation of 2.6 mL. A random sample of 19 bottles of diet cola has
a mean of 498.4 mL of soda with a standard deviation of 4.4 mL. Test the claim that there is a difference between the mean fill levels for the two types of soda using a
0.05 level of significance. Assume that both populations are approximately normal and that the population variances are not equal since different machines are used to
fill bottles of regular cola and diet cola. Let bottles of regular cola be Population 1 and let bottles of diet cola be Population 2.
Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
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