Meteorologists in a seaside town wanted to understand how their annual rainfall is affected by the temperature of coastal waters. For the past few years, they monitored the average temperature of coastal waters (in Celsius), x, as well as the annual rainfall (in millimetres), y. Rainfall statistics • The mean of the x-values is 11.503. • The mean of the y-values is 366.637. • The sample standard deviation of the x-values is 4.900. • The sample standard deviation of the y-values is 44.387. • The correlation coefficient of the data set is 0.896. least squares regression line of this data set is: y = 8.116x + 273.273 v much rainfall does this line predict in a year if the average temperature of coastal wate 5 degrees Celsius? nd your answer to the nearest integer. millimetres

Let's consider the annual precipitation levels in Los Angeles county. Suppose the average annual precipitation in LA county is normally distributed with a mean of 15 inches and a standard deviation of 3 inches. We can classify the precipitation levels in the following way: Dry Annual precipitation is more than 1 standard deviation below the mean. Normal  Annual precipitation is less than 1 standard deviations below the mean and less than 2 standard deviation above the mean. Humid  Annual precipitation is more than 2 standard deviations above the mean. Before answering the following questions it may be helpful to mark on a bell shaped curve where the above regions lie.  According to the empirical rule, what is the probability of experiencing a Dry year in Los Angeles? According to the empirical rule, what is the probability of experiencing a Humid year in Los Angeles?     According to the empirical rule, what is the probability of experiencing a Normal year in Los…

How does the slightly different perspective make the standard deviation even more accessible?

High density lipoprotein (HDL) in healthy males follows a normal distribution with a mean of 50 and a standard deviation of 8. What proportion of healthy males has HDL exceeding 60?

Average weight of newborn babies is bell-shaped with mean of 3325 grams and standard deviation of 571 grams. What percent of newborn babies weight between 2183 grams and 4467 grams?

The results of a common standardized test used in psychology research is designed so that the population mean is 155 and the standard deviation is 30. A subject earns a score of 194. What is the z-score for this raw score?z-score =

Resting pulse rates for healthy adults are found to have approximately a Normal distribution with a mean of 69 beats per minute and a standard deviation of 8.5 beats per minute. Between what two values do the central 80% of all resting pulse rates lie?  what is lower value and  upper value ?

The scores on a standardazed test are normally distributed with a mean of 115 and standard deviation of 7. What test score is 0.45 standard deviations below the mean?

Suppose that you wish to estimate the difference between mean pH measurements of rainfalls in two different locations, one in relatively unpolluted area and the other in an area subject to heavy air pollution. You want to be 95% confident that the margin of error for the difference between mean pH of rainfalls in relatively unpolluted area and mean pH of rainfalls in an area subject to heavy air pollution will not exceed 0.1 pH. How many rainfalls (pH measurements) must be included in each sample? Assume that the variance of pH measurements in a relatively unpolluted area is equal to 2 = 20, and the variance of pH measurements in an area subject to heavy pollution is equal to 2 = 0.25, and samples will be of equal size (n = n₂ = n). 2 It is supposed that values of pH in rainfalls are normally distributed in polluted and unpolluted areas. The number of rainfalls (pH measurements) that must be included in each sample is

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 =