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Homework - .00 February 2 2010 Stat 3130 Homework 1 ‘ r...

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Unformatted text preview: _ (.00 February 2, 2010 Stat 3130: Homework 1 ‘ r Qurh$v 9;: \4QQX 1. The null hypothesis is that the mean systolic blood pressure of patients waiting is the same as the mean blood pressure at the conclusion of their visit to the dentist. The alternative hypothesis is that the mean systolic blood pressure is higher than-[the mean blood pressure of the patients at the conclusion of their visit to the dentist. Researchers believe that patients feel anxiety while waiting for the dentist contributes to a mean difference of blood pressure between before and after the visit. A two-tailed test was performed. The assumptions for the t—test were met because the response of one variable is related to the other variable. . The p-value generated from performing a paired t-test was 0.018. Because the p- value is less than 0.05, we reject the null hypothesis and state there a mean difference between the patients’ blood pressure before and after the dentist visit at a or = .05 level, t(10)=2.47, p=0.018. We conclude patients’ blood pressure before was higher than att e conclusion of the visit to their doctor with a 95% confidence. Tu" W" ”‘5 ‘- 5’“ d‘W“ ¢ 5“ M "‘44"; M Jaw JuiW-xlx Lau‘k “2“" +-—J~.4Evi.\| . 19 {ML r_- (Bat - NW { +~uu - Has—(«k 2. Researchers believe people who do not wear seatbelts Will 9 more likely to H4 puma, , speed. The null hypothesis is that the mean speed between drivers that wear a seatbelt and do not wear a seatbelt will be the same. The alternative hypothesis is that the mean speed of drivers that do not wear a seat belt is greater than drivers who wear a seatbelt/A two-sample t-test Esperformed. The p-value generated was 0.041 (unpooled) and 0.033 (pooled). Because the p—value is less than 0.05 for both unspooled and pooled, we reject the null hypothesis and state there difference between the speed of drivers that wear and do not wear a seatbelt at or = .05 level, t(20,=1. 9 (unpooled) and 1.96 (pooled), p=0.041 (unspooled) 0.033 (pooled). e conclude that the drivers that did not wear a seat ' belt speeds were higher than the drivers who actually wear a seatbelt. However, there was a difference in the p-value generated between unspooled and pooled. Figure 1 shows the variance between seatbelt drivers and non-seatbelt drivers. The variance among non-seatbelt drivers is higher than that of seatbelt drivers. Therefore, equal variability should not be ass ed. Only an unpooled t-test is necessary and appropriate. ...
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