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An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.4, 0.2, and 0.4, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.5 and 0.5. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below.
(a) P (B)
(b) P (F | B)
(c) P (B∩F)
(d) P (F)
(e) Does P (B∩F) = P (B) · P (F)?
(f) Are B and F independent events?
Make up a scatter diagram with 10 dots for each of the following situations:
Use a 0.05 significance level to test the claim that king-size cigarettes with filters have a lower mean amount of nicotine than the mean amount of nicotine in non-filtered king-size cigarettes.
What kind of statistical test best did you use?
Basic Statistics problem
Determine the probability that sample mean is between 7.5 and 8 minutes?
Make for more scatter plots comparing GDP growth 1970-2000 to corruption, political rights, rule of law, and socio-political instability
See if there is a difference in their means and variances.
Find the mean and standard deviation of X, the number of students in class, who will develop influenza.
Set up dummy coded dummy variables to contrast each of the other groups to Group 2, medium Anxiety; run a regression to predict exam performance (Y) from these dummy coded dummy variables.
Explain in words general pattern of correlation is statistically important.
At.02 significance level is it sensible to conclude that mean number of shoes sold at mall stores is larger than at outlet stores?
At the 5 percent level of significance, does this sample prove a violation of the guideline that the average patient should pay no more than $250 out-of-pocket? State your hypotheses and decision rule.
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