Professor X runs an experiment and obtains a z statistic of 1.96. He then repeats his experiment and obtains a z statistic of 1.30. If the results of the two experiments are independent, what is the total probability that he would obtain z statistics that were at least as large as these in the two experiments combined if the null hypothesis was actually true.
Professor X runs an experiment and obtains a z statistic of 1.96. He then repeats his...
Question 6 2.5 pts A statistics professor believes that his students are above average intelligence. To test this, he collects a random sample of 50 of his students' IQ scores and finds a sample mean of 110. Knowing that the mean population IQ is 100 with a standard deviation of 15, he calculates a z of x-bar test statistic of 4.72. Based on this information, what statistical decision should this professor come to? O Fail to reject the null, because...
A professor gives his class a final examination that he knows from years of experience yields a population mean of 84. His present class of 24 obtains a mean of 88 and a standard deviation of 8. Is he correct in assuming that the performance of the most recent class differs significantly from that of other classes? Use a one-tailed test here since the professor assumes that the class will score higher. Null hypothesis: Alternative hypothesis: Statistical test: Significance level...
Professor X is trying to raise people’s scores on the Smiley Face Test. He has 3 different experiments in the works and hopes that one of them will be effective. He has set the alpha for each experiment at .05. Each test will be two-tailed, which means his cutoff will be ± 1.96. Do step 4 for each of the following 3 experiments. Assume that the distribution of scores on the SFT for all the people in the population is...
PLEASE SHOW IN EXCEL A professor wants to know if his lecture had an impact on student learning in his class. He gives his students a pre-test at the beginning of the lecture. After he gives the lecture he gives a post-test. The post-test has similar questions in order to gauge learning. The results of the tests are: Pre-test Post-test 78 80 67 69 56 70 78 79 96 96 82 84 84 88 90 92 87 92 Did the...
Professor Francis has implemented a new book for his Fall 2013 statistics course. He wants to see if the new book has an effect on the exam average for Exam 3. He knows that the Exam 3 mean for all students who have taken his statistic course over the past 10 years is 77.2. He collects some data from a sample of 9 students and finds that the Exam 3 mean for his Fall 2013 statistics students is 81.7 with...
For one binomial experiment, n1 = 75 binomial trials produced r1 = 60 successes. For a second independent binomial experiment, n2 = 100 binomial trials produced r2 = 85 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ. (a) Compute the pooled probability of success for the two experiments. (Round your answer to three decimal places.) (b) Check Requirements: What distribution does the sample test statistic follow? Explain....
For a test of He: p=0.50, the z test statistic equals 1.02. Use this information to complete parts (a) through (d) below. a. Find the P-value for He: p>0.50. (Round to three decimal places as needed.) b. Find the P-value for H, :p*0.50 (Round to three decimal places as needed.) c. Find the P-value for He:p<0.50. (Hint: The P-values for the two possible one-sided tests must sum to 1.) (Round to three decimal places as needed.) d. Do any of...
Professor Fair believes that extra time does not improve grades on exams. He randomly divided a group of 300 students into two groups and gave them all the same test. One group had exactly 1 hour in which to finish the test, and the other group could stay as long as desired. The results are shown in the following table. Test at the 0.01 level of significance that time to complete a test and test results are independent. Time A...
Assuming an experiment has k categories, the goodness-of-fit test statistic is assumed to follow a normal distribution with (k-1) degrees of freedom. True False Question 6 1 pts The Boston public school district has had difficulty maintaining on-time bus service for its students. Suppose the district develops a new bus schedule to help combat chronic lateness on a particularly woeful route. Historically, the bus service on the route has been, on average, 10 minutes late. After the schedule adjustment, the...
Professor Fair believes that extra time does not improve grades on exams. He randomly divided a group of 300 students into two groups and gave them all the same test. One group had exactly 1 hour in which to finish the test, and the other group could stay as long as desired. The results are shown in the following table. Test at the 0.01 level of significance that time to complete a test and test results are independent. Time A...