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To test the hypothesis that students who finish an exam first get better grades, Professor Hardtack kept track of the order in which papers were handed in. The first 25 papers showed a mean score of 77.1 with a standard deviation of 19.6, while the last 24 papers handed in showed a mean score of 69.3 with a standard deviation of 24.9. Is this a significant difference at α = .05? (a) State the hypotheses for a right-tailed test. (b) Obtain a test statistic and p-value assuming equal variances. Interpret these results. (c) Is the difference in mean scores large enough to be important? (d) Is it reasonable to assume equal variances? (e) Carry out a formal test for equal variances at α = .05, showing all steps clearly.
Assume that you have a binomial experiment with p = 0.5 and a sample size of 100. The expected value of this distribution is.
Do the data provide significant support for any preferences among the three brands? Test At the .05 level of significance.
Compare his performance on the two tests in terms of percentile ranks. In which exam did he do better? Please show computations and discuss.
Population of consumers where 30% of them favored a new product and 70% of them disliked it. If 20 persons are sampled, what are the probabilities of finding: Binomial
Of the 880 respondents, 171 admitted that at least one light had been red. Follow the four-step process to construct a 95% confidence interval.
Explain the difference between multiple independent variables and multiple levels of independent variables. Which is better?
Here are heart rates for a sample of 30 students before and after a class break. At alpha =.05, was there a significant diffeence in the mean heart rate?
Using the Hypothesis Tests Two Sample file and a .05 significance level, test whether there is a difference in the mean salary for men versus women.
In each of the following cases, decide whether or not a binomial distribution is an appropriate model, and give your reasons.
Registration process takes, on average, 2 minutes per patient. Among patients who get prescriptions, average time spent with doctor is 5 minutes. Among those admitted to hospital, average time is 30 minutes.
From experience he knows that he can go another 15 miles. What is the probability that he will be stranded on the highway without gasoline?
You randomly select 425 students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a chagne in the claimed or expected distribution? Use a =0.025.
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