nsider a population with 1,600 values which exhibits a normal distribution. Assume that the mean is 41 and the standard deviation is 8. What proportion of the data values is less than 37? What population value corresponds the 80% percentile, the value which 80% of the population is smaller than? (answer to the nearest 0.01) How many of the data values are larger than 40?  How many of the data values are between 37 and 53? (answer to the nearest integer)

The amount of caffeine in a sample of five-ounce servings of brewed coffee is shown in the histogram. Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard deviation of the data set. Click the icon to view the histogram. Graph/chart Midpoint x xt Ay 30+ 2 70.5 141 24 14 92.5 1295 25- 24 114.5 2748 20- 7 136.5 955.5 14 15- 3 158.5 475.5 10- 7 ΣΤ- 50 Exf = 5615 5- Find the mean of the data set. 48.5 70.5 92.5 114.5 136.5 158.5 x = 112.3 (Round to the nearest tenth as needed.) Complete the table. Round values to the nearest tenth as needed. Midpoint x (x-x)? (x-x)?f Print Done X-X 70.5 - 41.8 1747.2 3494.5 92.5 1295 85556.3 119787.5

If the mean height of bonsai trees is 52 cm with a standard deviation of 10 cm, what percent of the trees are above 82 cm? Select one: a. 0.3% O b. 82 O c. 3% O d. 0.15% Students at Roseville High School took an IQ test with a mean of 100 and a standard deviation of 15. Approximately, what percent of the students scored above 100? Answer: o represents the

A data set lists weights (Ib) of plastic discarded by households. The highest weight is 5.72 Ib, the mean of all of the weights is x= 2.345 lb, and the standard deviation of the weights is s =2.123 lb. a. What is the difference between the weight of 5.72 lb and the mean of the weights? b. How many standard deviations is that (the difference found in part (a))? c. Convert the weight of 5.72 Ib to a z score d. If we consider weights that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the weight of 5.72 Ib significant? a. The difference is lb. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z= (Round to two decimal places as needed.) d. The highest weight is