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A college entrance exam company determined that a score of 20 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 20.6 on the college entrance exam with a standard deviation of 3.6. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the math portion of the exam? Complete parts a) through d) below. a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. the appropriate null and alternative hypotheses are H0: _____ _____ versus H1: _____ _____ b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. A. The students' test scores were independent of one another. B. The students were randomly sampled. C. The sample size is larger than 30. D. None of the requirements are satisfied. c) Use the P-value approach at the α= 0.05 level of significance to test the hypotheses in part (a). Identify the test statistic. t0 (Round to two decimal places as needed ) Identify the P-value. P-value = (Round to three decimal places as needed ) d) Write a conclusion based on the results. Choose the correct answer below. (Reject, Do not reject) the null hypothesis and claim that there( is not, is) sufficient evidence to conclude that the population mean is ( greater, less) than 20.
Sri K.
Learning Goal: To understand how to use integrated rate laws to solve for concentration. A car starts at mile marker 145 on a highway and drives at 55 mi/hr in the direction of decreasing marker numbers. What mile marker will the car reach after 2 hours? This problem can easily be solved by calculating how far the car travels and subtracting that distance from the starting marker of 145. 55 mi/hr x 2 hr = 110 miles traveled milemarker 145 - 110 miles = milemarker 35 If we were to write a formula for this calculation, we might express it as follows: milemarker = milemarker0 - (speed x time) where milemarker is the current milemarker and milemarker0 is the initial milemarker. Similarly, the integrated rate law for a zero-order reaction is expressed as follows: [A] = [A]0 - rate x time or [A] = [A]0 - kt Part A The rate constant for a certain reaction is k = 5.00x10^-3 s^-1. If the initial reactant concentration was 0.250 M, what will the concentration be after 5.00 minutes? Express your answer with the appropriate units. [A]t = 5.58x10^-2 M Part B A zero-order reaction has a constant rate of 3.60x10^-4 M/s. If after 40.0 seconds the concentration has dropped to 2.00x10^-2 M, what was the initial concentration? Express your answer with the appropriate units. [A]0 = Value Units
Madhur L.
3.03 answer questions 6-9: A large midwestern university simple random sample of 100 entering freshmen in 1993 found that 20 of the sampled freshmen finished in the bottom third of their high school class. Admission standards at the university were tightened in 1995. In 1997 a simple random sample of 100 entering freshmen found that only 10 finished in the bottom third of their high school class. Let p1 and p2 be the proportions of all entering freshmen in 1993 and 1997, respectively, who graduated in the bottom third of their high school class. What is the value for a confidence interval for p1 - p2? To test whether the proportion of freshmen who finished in the bottom third of their high school class has been reduced after the tougher admission standards in 1995, compared to the proportion in 1993, what is the value of the z-statistic for testing these hypotheses? What is the value of the P-value? A review of voter registration records in a small town yielded the following table of the number of male and female registered Democrats, Republicans, and others: Democrat Republican Other Male 300 200 100 Female 400 300 200 Under the null hypothesis that there is no association between party affiliation and gender, what is the expected number of male Democrats? Use the following to answer questions 10-15: A researcher investigating variables that might be associated with the academic performance of high school students, examined data from 1990 for each of the 50 states plus Washington, DC. The data included information on the following variables:
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