Assume the failure rate for drivers road tests in Vancouver is normally distributed. On average 0.33 (33%) of drivers fail their drivers road test in Vancouver and the standard deviation of failing road tests is 0.024 (2.4%). What is the chance that less than 0.29 (29%) of drivers fail their road test?

Almost all medical schools require applicants to take the Medical College Admission Test (MCAT).   Scores on the MCAT are approximately Normal with a mean of 25 and a standard deviation of 6.5. If the School of Health Sciences interviews one WSSU student about their score on the MCAT. What is the probability that their score be between 21 and 30?

The golf scores for a school team were normally distributed with a mean of 68 and a standard deviation of three.Find the probability that a golfer scored between 66 and 70

Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be less than 260 lbs?

The manager of a major retail store has taken a random sample of 25 customers. The average sale was $52.50. The population standard deviation is known to be $6.10. The manager would like to determine whether or not the mean sales by all customers are significantly more than $50. What is the p-value for the test?

An instructor claims that the average number of hours needed to study for a final exam in order to pass should be 5 hours. A student believes that the instructor is understating the number of hours needed to pass and surveys 36 students and finds the sample mean and standard deviation to be 5.7  and 1.5 hours respectively.  Test the instructors claim at a .10 level.

Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is less than 90 mm?

Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is greater than 82 mm?

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

The gas mileage for a new model of car is normally​ distributed, with a standard deviation of 3.5 miles per gallon. If only​ 4% of the cars have a gas mileage of above 20​ mpg, what is the mean of the​ distribution