Hospital records show that 425 of the 850 patients who contracted a strain of influenza recovered within a week without medication. A doctor prescribes a new medication to 120 patients, and 75 of them recover within a week. Can the doctor be at least 98% certain that the medication has been effective?

A researcher was interested in how much longer the heart rate recovery time is for untrained college students compared to athletically trained college students.  Eleven athletically untrained college students and nine athletically trained college students were put on a treadmill for fifteen minutes and then tested to see how many minutes it took for their heart rates to return to normal. The results of the study are shown below. Untrained:  8, 7, 7.2, 6.9, 7.8, 8.8, 8, 8, 8.8, 7.3, 8.6 Trained:  1.5, 1.5, 1.8, 2, 1.9, 2.3, 2.3, 2.4, 2.2 Assume both follow a Normal distribution.   Compute the 95% confidence interval for the difference.  Round to one decimal place. ( ___________ , _____________ )

is it possible that 70 of all students are below average

We want to know if students with bronchitis at 5 years have more cough symptoms when they grow up. Out of 290 children with Bronchitis at Age 5, 32 of them has cough symptoms at Age 12. Out of 970 children with no Bronchitis at Age 5, 43 of them has cough symptoms at Age 12. Is the cough symptom equally prevalent in both populations?

A certain county had a population of 34,485 people. The county hospital is interested in estimating the number of people in the county with blood type-O. To do this, they test blood samples from 228 patients. Out of this group, 10 have blood type-O. Use this sample to estimate the number of people in the county with blood type-O.

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. Three 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 number of false positives.

If Amy spends the whole day swimming every Friday, and only Friday, what percentage of her days in a 15-week period are devoted to swimming?

On a particular night, a baseball stadium sells 60% of its seats, and of those, 15% do not end up showing up to the game.  Assuming everyone present is sitting in a seat, what percentage of seats in the stadium are empty?

Consider a medical test with a false positive rate of 1% and a false negative rate of 2%. The frequency of the condition in people who take this test is 3% Q4. If this test was given to 100,000 healthy people, how many false diagnoses would there be? Q5. What is the overall percentage of people who test "positive" who are actually negative for the condition? Q6. What is the overall percentage of people who test "negative" who are actually positive for the condition? # wrong diag. = ??? % pos. = ??? % % pos. = ??? %

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form. x-intercept = 315 == 15 and y-intercept = 1 Type the point-slope form of the equation of the line. 7 (Use integers or simplified fractions for any numbers in the equation.)