Exercise 1.

A group of Harvard University School of Public Health researchers studied the impact of cooking on the size of indoor air particles. The decay rate (measured as \[\mu \text{m/hour}\] ) for fine particles produced from oven cooking or toasting was recorded on six randomly selected days. These six measurements are:

1. Find and interpret a 95% confidence interval for the true average decay rate of fine particles produced from oven cooking or toasting.
2. Explain what the phrase "95% confident" implies in the interpretation of part a.
3. What must be true about the distribution of the population of decay rates for the inference to be valid?

Exercise 2.

Topical swarm-founding wasps, like ants and bees, rely on workers to raise their offspring. One possible explanation for this strange behavior is inbreeding, which increases relatedness among the wasps and makes it easier for the workers to pick out and aid their closest relatives. To test this theory, 197 swarm-founding wasps were captured in Venezuela, frozen at -70 degrees C, and then subjected to a series of genetic tests. The data were used to generate an inbreeding coefficient, x, for each wasp specimen, with the following results: \[\overline{x}\] =.044 and s=.884.

1. Construct a 90% confidence interval for the mean inbreeding coefficient of this species of wasp.
2. A coefficient of 0 implies that the wasp has no tendency to inbreed. Use the confidence interval, part a, to make an inference about the tendency for the species of wasp to inbreed.

Exercise 3

Refer to the strength capacity guidelines for manual materials handling activities, Reference Notes A . The guidelines were established by observing the maximum weight that random samples of men and women can safely lift from the floor to knuckle height. When lifting at the rate of 1 lift per minute, males lifted a mean maximum weight of 30.25 kilograms (kg) with a standard deviation of 8.56 kg, whereas the mean and standard deviation for the females were 19.79 kg and 3.11 kg, respectively.

1. Assuming the sample consisted of 60 males and 60 females, construct a 90% confidence interval for the ratio of the variances of the maximum weights that can safely be lifted by males and females.
2. What assumptions must be satisfied to ensure the validity of the interval estimate of part a?

Exercise 4.

An American Housing Survey conducted by the U.S. Department of Commerce revealed that 705 of 1,500 sampled homeowners are "do-it-yourselfers" – they did most of the work themselves on at least one of their home improvements or repairs. Estimate the true proportion of American homeowners who do most of the home improvement or repair work themselves using a 95% confidence interval. Interpret the results.

Exercise 5.

Refer to the LRM spectroscopy experiment described in Reference Notes B . The amount of liquid CO ₂ present in each of two different fluid inclusions (named FREO and FRITZ) was measured on each of four randomly selected days. The data are reproduced in the table. Use interval estimation to compare the mean difference between the CO ₂ concentrations (in mole percentage) of the two fluid inclusions.

_________________________________

Price: $19.01

Solution: The downloadable solution consists of 7 pages, 1201 words and 3 charts.
Deliverable: Word Document