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Is the mean weight of regular Coke less than the mean weight of regular Pepsi? To...

Is the mean weight of regular Coke less than the mean weight of regular Pepsi? To test this claim, independent sets of cans of each brand were selected for testing. The sample statistics are summarized in the table below. The distributions of weights of regular Coke and regular Pepsi are approximately normal, and population variances are not equal. At the 5% significance level, what is the appropriate conclusion?

a) Reject the null hypothesis; reject the claim that the mean weight of regular Coke is less than the mean weight of regular Pepsi.

b) Reject the null hypothesis; support the claim that the mean weight of regular Coke is less than the mean weight of regular Pepsi.

c) Fail to reject the null hypothesis; reject the claim that the mean weight of regular Coke is less than the mean weight of regular Pepsi.

d) Fail to reject the null hypothesis; support the claim that the mean weight of regular Coke is less than the mean weight of regular Pepsi.

Regular Coke

n1= 15

x̄1 = 0.8168

s1 = 0.0075

Regular Pepsi

n2 = 10

x̄2 = 0.8241

s2 = 0.0057

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