Most soft drink beverages are packaged and sold in 12-ounce cans. You want to test to see how accurate the companies package these cans, so you take a sample of Coke cans and a sample of Pepsi cans and measure the amount of soda in each can. You wish to test the claim that the mean amount of liquid in Coke cans is different from the mean amount of liquid in Pepsi cans at a significance level of a = 0.005. a) Choose the correct null and alternative hypotheses. O Ho: 152 Ha: 12 O Ho: 1-2 Ha: 12 O Ho: 122 Ha:μι<μ2 Both populations are normally distributed, with cans of Coke having a population standard deviation of 0.056 and cans of Pepsi having a population standard deviations of 0.055. Your sample of 43 cans of Coke gave a mean of 11.99 ounces, while your sample of 44 cans of Pepsi gave a mean of 12 ounces. b) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = c) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = d) The p-value is... O less than (or equal to) a O greater than a

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Most soft drink beverages are packaged and sold in 12-ounce cans. You want to test to see how
accurate the companies package these cans, so you take a sample of Coke cans and a sample of
Pepsi cans and measure the amount of soda in each can.
You wish to test the claim that the mean amount of liquid in Coke cans is different from the mean
amount of liquid in Pepsi cans at a significance level of a = 0.005.
a) Choose the correct null and alternative hypotheses.
O Ho: 12
Ha: 12
O Ho: 41-42
Ha: 12
Ο Ho:μι2μ2
Ha: 12
Both populations are normally distributed, with cans of Coke having a population standard
deviation of 0.056 and cans of Pepsi having a population standard deviations of 0.055. Your sample
of 43 cans of Coke gave a mean of 11.99 ounces, while your sample of 44 cans of Pepsi gave a
mean of 12 ounces.
b) What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
c) What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
d) The p-value is...
O less than (or equal to) a
Ogreater than a
Transcribed Image Text:Most soft drink beverages are packaged and sold in 12-ounce cans. You want to test to see how accurate the companies package these cans, so you take a sample of Coke cans and a sample of Pepsi cans and measure the amount of soda in each can. You wish to test the claim that the mean amount of liquid in Coke cans is different from the mean amount of liquid in Pepsi cans at a significance level of a = 0.005. a) Choose the correct null and alternative hypotheses. O Ho: 12 Ha: 12 O Ho: 41-42 Ha: 12 Ο Ho:μι2μ2 Ha: 12 Both populations are normally distributed, with cans of Coke having a population standard deviation of 0.056 and cans of Pepsi having a population standard deviations of 0.055. Your sample of 43 cans of Coke gave a mean of 11.99 ounces, while your sample of 44 cans of Pepsi gave a mean of 12 ounces. b) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = c) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = d) The p-value is... O less than (or equal to) a Ogreater than a
e) This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
f) As such, the final conclusion is that...
O There is not sufficient evidence to warrant rejection of the claim that the mean amount of
liquid in Coke cans is different from the mean amount of liquid in Pepsi cans.
O There is sufficient evidence to warrant rejection of the claim that the claim that the mean
amount of liquid in Coke cans is different from the mean amount of liquid in Pepsi cans.
O There is not sufficient sample evidence to support the claim that the mean amount of liquid in
Coke cans is different from the mean amount of liquid in Pepsi cans.
O The sample data supports the claim that the mean amount of liquid in Coke cans is different
from the mean amount of liquid in Pepsi cans.
Transcribed Image Text:e) This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null f) As such, the final conclusion is that... O There is not sufficient evidence to warrant rejection of the claim that the mean amount of liquid in Coke cans is different from the mean amount of liquid in Pepsi cans. O There is sufficient evidence to warrant rejection of the claim that the claim that the mean amount of liquid in Coke cans is different from the mean amount of liquid in Pepsi cans. O There is not sufficient sample evidence to support the claim that the mean amount of liquid in Coke cans is different from the mean amount of liquid in Pepsi cans. O The sample data supports the claim that the mean amount of liquid in Coke cans is different from the mean amount of liquid in Pepsi cans.
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