In a mango farm of 500 trees, the mean harvest is 96.5 kg of mango fruits per tree with a standard deviation of 8.4 kg. Assuming that the harvests per tree are normally distributed, how many trees yielded a harvest between 90 and 110 kg?

The mean weight of a Great Dane is 63.0 kg with a standard deviation of 2.3 kg.  Suppose a researcher randomly samples 61 Great Danes and records the weights of the sampled dogs.  Calculate the standard deviation of the mean, rounded to 2 decimal places

Assume that weights of adult females are normally distributed with a mean of 77 kg and a standard deviation of 22 kg. What percentage of individual adult females have weights between 71 kg and 83 ​kg? If samples of 100 adult females are randomly selected and the mean weight is computed for each​ sample, what percentage of the sample means are between 71 kg and 83 ​kg?

According to Current Population Reports, the population distribution of number of years of education for self-employed individuals in the United States has a mean of 13.6 and a standard deviation of 3.0.  Find the mean and standard error of the sampling distribution of ȳ for a random sample of  9 residents.

Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph. Use the Empirical Rule. Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph. Use the Empirical Rule. 81.5% 16% 32% 34% 50%