# Pepsi may not invest in this flavor if the flavor was

• Test Prep
• 29

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Pepsi may not invest in this flavor. If the flavor was popular, they may lose money on the investment or Coke beats them to it. 4. In order to decrease the chances that a type I error occurring, we could decrease the significance level. 5. In order to decrease the chances that a type II error occurring, we could increase the sample size. 6. If we increase the significance level, then we have a greater chance of having a type I error, but we will also have smaller chance of having a type II error. 7. If we decrease the significance level, then we have a smaller chance of having a type I error, but we will also have a greater chance of having a type II error. 8. Most Statisticians agree that a 5% significance level maintains a good balance between type I and type II errors. The probabilities for type I and type II errors will both be relatively small.

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Hyp Test Act 11 Answers 1. 1 : ACT scores after class 2 = ACT scores before class 1 2 1 2 : : : 0 : 0 d d OR Ho Ha claim Ho Ha claim Right tail test Paired data Assumptions? It was random. The sample sizes were both 20 (under 30) however the data was bell shaped. So it does meet the 30 or normal requirement. Test Stat = 2.9166 Sentence: Sample 1 (after) was 2.9166 standard errors above sample 2 (before). (significant) Pvalue = 0.0044 Sentence: If Ho is true (two groups same), then there was a 0.0044 chance of getting the sample difference or more extreme. (very unlikely that it happened by random chance.) Pvalue < sig level (0.05) Reject the Ho!! Conclusion: There is significant sample evidence to support the claim that the class is effective in raising ACT scores. 2. Both samples are independent and random. Since the sample sizes are both 30 or bell shaped, it does meet all asumptions for a 2 mean hypothesis test. Pop 1 : Do not live with smokers Pop 2: Live with smokers 0: 1 2 : 1 2( ) H HA claim
The test statistic was t = -9.758. This means that the average cotinine level for those that don’t live with smokers was 9.758 standard errors below the cotinine level for those that live with smokers. The Pvalue < 0.0001 . It is extremely unlikely that this data happened by random chance. Sentence: If the cotinine levels for both groups are the same there was less than 0.0001 chance of getting the sample data or more extreme. Pvalue < sig level 0.01. Reject H0. Conclusion: There is significant sample evidence to support the claim that the cotinine levels for people that don’t live with smokers is lower than the cotinine l evel of the those who live with smokers. 3. Mu1 = systolic BP Mu2 = diastolic BP Ha: μ1 > μ2 (claim) Ho: μ1 < or = μ2 Or Ha: μ1 - μ2 > 0 (claim) Ho: μ1- μ2 < or = 0 Or Ha: μd > 0 (claim) Ho: μd < or = 0 Assumptons: Was random. N=40 > 30. Data looks right skewed. Passes the 30 or normal requirement.

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• Fall '17
• Statistics, Statistical hypothesis testing, significant sample evidence

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