college entrance exam company determined that a score of 25 on the mathematics portion of the exam suggests that a student is ready for college-level mathem his goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 200 students who complete ourses results in a mean math score of 25.5 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete re ready for college-level mathematics? That is, are they scoring above 25 on the math portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. ) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho versus H₁:

The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720. She finds that a random sample of 60 people had a mean FICO score of 695 with a standard deviation of 65. Can the economist conclude that the mean FICO score is less than 720? Use the =α0.05 level of significance and the P -value method. State the appropriate null and alternate hyopthesis

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1540 and a standard deviation of 299. The local college includes a minimum score of 2377 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? Give your answer as a percentage rounded to one decimal place.

Paint used to paint lines on roads must reflect enough light to be clearly visible at night. Researchers have 2 new types of paints they want to test – paint type A and paint type B. For each paint type, they tested if there was statistical evidence the average reflectometer reading is greater than 35. To test each type of paint, they used 15 paint samples. Further, suppose the standard deviation is the same for both types of paints. The sample mean for paint type A was 39 and the sample mean for paint type B was 41.5. For both statistical tests, the significance level is set to .05.Which of the following is true? If they fail to reject the null hypothesis for paint type A we can conclude there is statistical evidence the average reflectometer for type A paint is 35. The p-value for the type B paint test is smaller.     They rejected the null hypothesis for both paint types. Exactly two of the statements above are true. None are true.