1. Having received a bonus of $29,000 for accepting early retirement in July 2000, a company's project manager invested $8,000 in a municipal bond paying 3.29%, $13,000 in a money market fund paying 3.01%, and $6,000 in a certificate of deposit paying 3.09%.

Using therespective amounts invested as weights, find theweighted mean of the three percentages.

1. Identify theparameter andstatistic.

The International Dairy Foods Association (IDFA) wants to estimate the average amount of sodium male teenagers consume. From a random sample of 45 male teenagers, the IDFA obtained a sample mean of 1076 milligrams of sodium consumed.

1. The scores for students are 39, 40, 41, 42, 44, 46, 48, 49, 50, 50, 53, 56, 58, 59, 60, 62, 66, 68, 69, and 70. Find out the percentile for score50.

1. Calculate the values of the three quartiles and the interquartile range.

1. Find the percentile rank for49 keyboards assembled.

1. Human life expectancy is a parameter that is of great interest to many researchers concerned with the processes of ageing. According to a 2010 study, the Japanese population tops the list. A sample of 1,210,598 death records was surveyed; a mean life expectancy of 83.5 years was determined, with a sample standard deviation of 6.6 years. The sample data were approximately normally distributed.
2. Draw/sketch the frequency distribution curve for this data set below,clearly label all exes, and provide appropriateunits for each.
3. On the x-axis of the plot label the mean and provide its value. Also, label the - and + points and provide their values.
4. Using the z-Score Table determine thenumber of people in the sample that lived past the age of 90 years old.

8. Certain descriptive data can be useful for comparing the reproducibility of different variables. Consider, for example, data from the Bogalusa Heart Study, a large study of cardiovascular risk factors in children that began in the 1970s and continues up to the present.

At approximately 3-year intervals, cardiovascular risk factors such as blood pressure, weight, and cholesterol levels were measured for each of the children in the study. In one particular year, replicate measurements were obtained for a subset of the children a short time apart from the regularly scheduled risk factor measurements. The table below represents reproducibility data on a selected subset of cardiovascular risk factors.

a. Compute the missing statistical values in the table below, to within 1 or 2 significant decimal place(s) as indicated in their respective column.

Show how you compute each and not just a number in the table!!!

b. Discuss thereproducibility of the different variables.

9. The human body relies on 20 unique amino acids for preparing proteins whose functions range from cellular signalling molecules to catalytic enzymes.

a. Using a single amino acid only once (without replacement), how many different permutations of a 14 amino acid long polypeptide/protein can be prepared?

b. Using a single amino acid only once (without replacement), how many different combinations of a 14 amino acid long polypeptide/protein can be prepared?