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A student, asked to give a class demonstration of the use of an ordinary t-statistic confidence interval for comparing two means in a single factor study with 5 levels, proposed to construct a 99% confidence interval for the pairwise comparison of ? 3 with ? 5 , stating that this particular comparison had been chosen because the estimated treatment means Y3. and Y5. were the largest and smallest respectively. The student went on to say "This confidence interval is particularly useful. If it does not straddle zero, it indicates, with significance level ? = .01, that the factor level means are not equal.
a) Explain why the student's assertion is not correct.
b) How should the confidence interval be constructed so that the assertion can be made with significance level ? = .01?
Define the standard error of the mean. What happens to the standard error as the sample size increases? Explain
the following table shows the distribution of blood types in the general populationhoxworth blood center cincinnati
The researchers claimed that of those who completed the program, 85% improved. What possible confounds can you identify in this study?
Let the null hypothesis be the landlord association claim and the alternative hypothesis be the housing authority claim. Doe the data support the landlord's association claim? What would you report to the housing authority?
At 99% confidence, test to determine if there is sufficient evidence to indicate that process 2 takes a significantly longer time to manufacture the Zip drives.
Draw the scatter diagram. Does it appear that x and y are related? If so, how? Test to determine whether there is evidence of a linear relationship.
Primary healthcare workers believe that anaphylactic shock reaction to immunization injections occurs with children in one case in two thousand.
A nursing professional conducts an analysis to examine scores on the mental health service and treatment outcome questionnaire.
Make a decision regarding the null hypothesis based on the sample information. Interpret the results of the test and state your conclusion.
About one-third of the students entering a certain university drop out during or at the end of their first year." Does this statement illustrate percentage, proportion or probability?
The margin of error for a sample size 25 is +-3. Will the margin of error be greater or less if the sample size is 400? What is the new margin of error?
Assuming that the population standard deviations are the same, perform a two independent samples t-test on the hypotheses Null Hypothesis: μ1 = μ2, Alternative Hypothesis: μ1 ≠ μ2. What is the test statistic and p-value of this test?
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