3. Given the information on the sample below, use the steps to construct a 95% confidence interval for the population mean. Assume that the population is normally distributed.
A college gives the same calculus final to all sections of the course. A sample of thirty randomly selected students that took the calculus final was collected after the exam. The mean score of the sample was 80 and the standard deviation of the sample was 13.2.
A) Find the critical value Tstigma/2 " that corresponds to a 95% confidence level.
B) Calculate “E”
C) Construct your confidence interval.
Q2:) 11. Below is data for the number of registered pleasure boats in a particular area in Florida at a particular time (in tens of thousands) and the number of manatee fatalities during the same time period.
Table: Use this table to answer questions
Pleasure Boats: 99-99-97-95-90-90-87-90-90
Manatee Fatalities: 92-73-90-97-83-88-81-73-68
A) Enter the data into stat crunch. Using either an r-value or a p-value, is there sufficient evidence to claim that there is a linear correlation between the number of pleasure boats and the number of manatee deaths in Florida? Explain your answer (yes or no) by using either the r-value of the p-value and using the 0.05 significance level.
B) State the regression equation for the table above (use pleasure boats as x and manatee fatalities as y)
C) In a time not reported there were 92 (920,000) pleasure boats in a particular area. Based on your work in part a, what is the best prediction for the number of manatee deaths that would have occurred that year? Explain how you got your answer.
Q3:) 12. Tests for adverse reactions in a new drug yielded the results given in the table below. Using the steps below, at the 0.05 significance level, test the claim that the treatment (drug or placebo) is independent of the reaction (whether or not headaches were experienced).
A) Using your Chi-Square table, find the critical value at the 0.05 significance level.
B) Enter your data in stat crunch and run a test for independence. State your Test Statistic (X^2") and your p-value.
Test Statistic (X^2"):
C) What can you conclude? Specifically, does it appear that getting a headache is dependent or independent of whether you took the drug or placebo? Does it appear that a side effect of taking the drug is headaches?
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