Mathematics, 10.12.2020 23:20 Amitp8799
You always buy the same flavor of Doritos and Lays. You want to see how consistent the maker of Doritos is versus the maker of Lays. You measure the weight of multiple bags from each company, and find the standard deviations of each. You weighed 80 Doritos bags, and they had a standard deviation of 0.0428 ounces. You weighed 120 Lays bags, and they had a standard deviation of 0.0395. Test the claim that Doritos standard deviation is greater than Lays using a 0.05 significance level.
1. State the null and alternate hypothesis.
LaTeX: \sigma_1 σ 1
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LaTeX: \sigma_2σ 2
LaTeX: \sigma_1σ 1
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LaTeX: \sigma_2σ 2
2. Find the test statistic. Round to 3 decimals.
LaTeX: F = F =
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3. Find the p-value.
LaTeX: p-value=p − v a l u e =
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4. What can you conclude about the null hypothesis?
Since the p-value is [gre] than the level of significance,
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the null hypothesis.
5. What is your final conclusion?
There is
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evidence to support the claim that Doritos has a bigger standard deviation than Lays.
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