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Use the following information to answer questions 28-32.A researcher wanted to test the effectiveness of a new professional development initiative aimed at increasing teachers’ use of technology in the classroom.At the beginning of the school year, all teachers were told that using technology to improve instruction was a major district goal.32 teachers from School A attended an intensive two-day workshop about using technology.36 teachers from School B only received informational packets and contact information for the district technology specialist.At the end of the year, both groups were assessed using a technology integration index (higher scores = better integration).Mean score, School A: 8.9Mean score, School B: 7.0Estimated standard deviation of the difference between sample means: SDdifference=1.0SD_{difference} = 1.0You are told:The test statistic for the data is: tobs=1.90t_{obs} = 1.90The critical value at α=0.05\alpha = 0.05 (df=66, tcrit=±2.000t_{crit} = \pm 2.000)

What test would be appropriate for this study?

What type of test is being conducted? Is it one-tailed or two-tailed?

What are the degrees of freedom and the critical value?

The standard error of the mean …

State the null and alternative hypotheses in words.

Write the research conclusion in context (what does this mean about the workshop?).

The Central Limit Theorem states that the sampling distribution of the mean …

Match each hypothesis test with the most appropriate scenario below.

 If the p-value is less than α, you should: