A professor claims that the average grade of students in her courses is 80%. Identify Type Il error for this claim. O Fail to reject the claim that average grade is 80% when it is actually 80%. Fail to reject the claim that average grade is 80% when it is actually different from 80%. Reject the claim that average grade is 80% when it is actually 80%. O Reject the claim that average grade is 80% when it is actually different from 80%.

In 2000, the mean math SAT score for students at one school was 472. Five years later, in 2005, a teacher performed a hypothesis test to determine whether the average math SAT score of students at the school had changed from the 2000 mean of 472. The hypotheses were as follows where u is the mean math SAT score, in 2005, for students at the school. Ho: H = 472 Hạ: u # 472 A type Il error would occur if, in fact, p = 472, but the results of the sampling do not lead to rejection of that fact u # 472, and the results of the sampling lead to that conclusion µ # 472, but the results of the sampling fail to lead to that conclusion p = 472, but the results of the sampling lead to the conclusion that p # 472

A sample of 10 students took a class designed to improve their SAT math scores. Following are their scores before and after the class. Can you conclude that the mean increase in scores is greater than 15 points? Let m1 represent the mean score after the class and md=m1-m2. Use the a=0.05 level and the p-value method with the TI-84 Plus calculator. before is 447,440, 439, 435, 451, 453, 491, 526, 473, 440. after is 482, 479, 451, 431, 454, 463, 511, 529, 493, 466.

3. The probability of successfully navigating an asteroid field in a science fiction movie is found to be 0.01. A total of2000 spaceships attempt to navigate the field, and the number that make it through is recorded. Can thisdistribution be modelled using a normal approximation?

It has been claimed that at UCLA at least 40% of the students live on campus. In a random sample of 250 students, 90 were found to live on campus. Does the evidence support the claim at  = .01?

Discuss the assumptions for one-sampled t-test and why they are important.

A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.

The mean height of a certain kind of plant is 170 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 170. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.

Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%.  Colby was in his most recent class, and his class’s mean score on the final exam was 82%.  Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population.  α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?

Assume that a high school principal believes that high number of absences hinders the students' ability to perform on standardized tests. He randomly selects a sample of 9 students who had 5 or more absences in the school year. The average ACT Composite score for this sample is X = 19 with s = 4.9. ACT Composite scores are normally distributed with u = 21.0. Do the data support the claim that the high number of absences hinders the students' ability to perform on standardized tests, using a = .05? Please show the four-step hypothesis test. %3D