Wild Cheetahs have an average speed of 60 miles per hour and standard deviation of 8.0 miles per hour. In a safari setting, the wild life conservationists measured the speeds of 36 cheetahs and found their average speed 58 miles per hour. At 10% significance level, find out whether the data provide sufficient evidence that the restrictions in safari setting has or has not changed the agility / average speed of cheetahs from their wild cousins?

A non-symmetric dataset has a mean of 200 and a standard deviation of 15.  Find an upper bound for the proportion of data points that are either greater than 230 or less than 170.

A local community college reported that the average SAT score of its students is 960 with a standard deviation of 82. If a student scored 975 on the SAT, what is the student's z score? Did the student do better or worse on the SAT compared to the average student in the college?

From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of the age when smokers first start to smoke remains constant at around 2.1 years. The American Lung Association claims that the mean age when smokers first start to smoke is at least 17. A survey of 40 randomly selected smokers of this generation was done and it was found that the mean age when smokers first started to smoke was 18.1. Is there enough evidence to reject the claim?    Describe what a Type I error is for this situation.   Describe what a Type II error is for this situation.

The honors program at Brad's university only accepts students with an entrance exam score over 400. What percentage of students would be eligible if the students at Brad's school have an average exam score of 250, with a standard deviation of 80?

The results of a common standardized test used in psychology research is designed so that the population mean is 165 and the standard deviation is 30. A subject earns a score of 255. What is the z-score for this raw score?z-score =

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1469 and a standard deviation of 296. The local college includes a minimum score of 1824 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement?

During the busy season, it is important for the shipping manager at ShipMundo to be able to estimate the time it takes the loading crew to load a truck. The shipping manager has found that she can model the load times using a normal distribution with a mean of 152 minutes and a standard deviation of 15 minutes. Use this table or the ALEKS calculator to find the percentage of load times between 116 minutes and 149 minutes according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1478 and a standard deviation of 292. The local college includes a minimum score of 689.6 in its admission requirements.What percentage of students from this school earn scores that satisfy the admission requirement?

The results of a common standardized test used in psychology research is designed so that the population mean is 100 and the standard deviation is 40. A subject earns a score of 192. What is the Z-score for this raw score? Z-Score =