A manufacturer fills soda bottles. Periodically the company tests to see if there is a difference between the mean amoun

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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 19 bottles of regular cola has a mean of 499.2mL of soda
with a standard deviation of 2.6mL . A random sample of 17
bottles of diet cola has a mean of 501.2 mL L of soda with a
standard deviation of 3.2 mL . Test the claim that there is a
difference between the mean fill levels for the two types of soda
using a 0.01 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 1 of 3: State the null and alternative hypotheses for the
test. Fill in the blank below. H0: μ1=μ2 Ha: μ1⎯⎯μ2
Step 2 of 3:
Compute the value of the test statistic. Round your answer to
three decimal places.
Step 3 of 3:
Draw a conclusion and interpret the decision.