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A high school math teacher claims that students in her class will score higher on the math portion of the ACT then students in a colleague's math class. The mean ACT math score for 49 students in her class is 22.1 and the standard deviation is 4.8. The mean ACT math score for 44 of the colleague's students is 19.8 and the standard deviation is 5.4. At α = 0.05, can the teacher's claim be supported?
a. Write down the type of test you will conduct.
b. Write down the null and alternative hypotheses.
c. Construct the test statistic.
d. Conduct the test.
e. What do you conclude?
Suppose that the researcher finds a moderately strong positive correlation. Describe three different possible cause-and-effect explanations for this relationship.
Define the parameter of interest, state the null and alternative hypotheses corresponding to the researchers' questions. Compute the test statistics corresponding to the hypothesis
He argues that the regression effort says people who perform very poorly in their previous job tend to perform well in their next job. Is this what the regression effect says? Explain.
A dairy farmer complained of a high frequency of abortion in his herd. As part of the effort to investigate the possible causes of the problem, serum samples were obtained from 90 adult cows randomly selected from all 400 present in the herd and s..
What are the assumptions and requirements for an LP model to be formulated and used? Under what conditions will an LP problem: be unbounded? be infeasible? have more than one optimal solution?
The company claims that more than 80% of people cannot tell the difference. Find a test statistic for the proportion.
Use the given contingency table to (a) find the expected frequencies of each cell in the table, (b) perform a chi-square test for independence, and (c) comment on the relationship between the two variables.
The pickup time of an answering machine is set at 5? rings, but the machine picks up after 4 rings. What is the relative? error?
Check the applicability of Chebyshev's theorem and the empirical rule for the data set in given problem.- Find the median, the interquartile range, and the 45th percentile of the following data.
a biologist wants to test the null hypothesis that the mean mean wingspan of a certain kind of insect is 12.3mm against
Develop the opportunitiy loss table and compute the expected opportunity loss for each product. Determine how much the firm would be willing to pay to a market research firm to gain better information about future market conditions.
Determine the appropriate critical value and reach a decision for the hypothesis test. Use a significance level of 0.05.
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