Q.1 For each of the following statements, determine whether the conclusion is true or false, and explain why (using no more than 100 words per statement).
a. In a one-way (between-subjects) ANOVA, if the observed group means in the sample differ entirely due to random variations (i.e., sampling errors), the critical value for testing the ratio of between-group
b. A researcher conducted an independent-samples t-test to test his research hypothesis, and obtained a very small p-value which is less than .001. This implies that the
c. A significant result (i.e., p<.05) from a one-way (between-subjects) ANOVA implies that the means of the groups are all different from one another in the population.
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- 3. Dentists make many people nervous. To assess any effect of such nervousness on blood pressure, the systolic blood pressure of 60 subjects was measured both in a dental setting and in a medical setting (The Effect of the Dental Setting on Blood Pressure Measurement," Amer. J. of Public Health, 1983:1210- 1214). For each subject, the difference between dental setting pressure and medical setting pressure was computed; the resulting sample mean difference and sample standard deviation of the differences were 4.47 and 8.77 mmHg, respectively. o (a) Estimate the true mean difference between blood pressures for these two settings using a 99% confidence level. o (b) Does it appear that the true mean pressure is different in a dental setting than in a medical setting? Explain your reasoning.arrow_forwardSuppose an instructor would like to know if there is difference in the performance of her two courses of 560 students each. She proceeds to take a random sample of size 50 from each independent class and was able to establish the following results: mean SD Class 1 86 17 Class 2 78 15 Is there a significant difference between the two classes at a significance level of five percent?arrow_forwardA shareholders' group is lodging a protest against your company. The shareholders group claimed that the mean tenure for a chief exective office (CEO) was at least 11 years. A survey of 62 companies reported in The Wall Street Journal found a sample mean tenure of 9.3 years for CEOS with a standard deviation of s = 4.4 years (The Wall Street Journal, January 2, 2007). You don't know the population standard deviation but can assume it is normally distributed. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim made by the group, at a significance level of a = 0.05. Your hypotheses are: H.:µ > 11 На: :и < 11 What is the test statistic for this sample?arrow_forward
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