1. Classify each of the following variables as NOMINAL, ORDINAL, INTERVAL OR RATIO.
   1a. Tenderness of beef: tough, slightly tough, tender, very tender.
   1b. Sex of a fish: male, female.
   1c. Blood type of a person: A, B, AB, O.
   1d. Absorbance (Optical Density) of a solution.
   1e. Number of bacterial colonies in a petri dish.
   1f. Response of a patient to therapy: none, partial, complete.
2. Dopamine is a chemical that plays a role in the transmission of signals in the brain. A pharmacologist measured the amount of dopamine in the brain of each of seven rats. The dopamine levels (nmoles/g) were as follows:

6.8 5.3 6.0 5.9 6.8 7.4 6.2

1. calculate the mean, std. dev., SEM and the coefficient of variation of the sample and the population
2. replace observation 7.4 by 11.4 and repeat part a.
3. which of the descriptive measures display resistance to change? Why?

1. In a certain population of the herring Pomolobus aestivalis , the lengths of the individual fish follow a normal distribution. The mean length of the fish is 51.0 mm., and the standard deviation is 3.6 mm.

1. What percentage of the fish are less than 58 mm long?
2. What percentage of the fish are more than 54 mm long?
3. What percentage of the fish are between 58 and 60 mm long?
4. What lengths of fish include 95% of the population?

1. For a certain data set the following were obtained: \(\bar{X}\) = 5.17 kg., s = 0.65 kg., SEM = 0.12 kg. Explain clearly the difference between s and SEM, not just mathematically, but what the values mean.
2. For a small sample of soybeans (n=13) the stem length data is as follows: \(\bar{X}\) = 21.33 cm. s = 1.22 cm. What is the 95% confidence interval for \(\mu \)
3. A sample is drawn from a population that has a std. dev. \(\sigma \) of 13. What minimum sample size would you draw from that population if you wanted to ensure a maximum range of 4.5 for the 95% confidence interval when estimating \(\mu \).
4. Abuse of substances containing toluene can produce various neurological symptoms. Researchers have measured the concentrations of various chemicals in the brains of rats that had been exposed to a toluene-laden atmosphere compared with the concentrations initially. The concentrations of the brain chemical norepinephrine (NE) in the medulla region of the brain, for six rats are shown below.

NE Concentration (ng/mg protein)

Toluene (final values) Control (initial values)

1. 535

1. 385

1. 502

1. 412

1. 387
2. 550

Determine whether there is a significant difference between the two states at p< 0.05.

8. A certain enzyme in fish liver is considered an indicator of a certain harmful pollutant. When the enzyme activity falls below 50 units/gm liver, the pollutant is considered to be present at harmful levels. The following random sample was taken from the lake in question and enzyme activity measured.

48 43 51 42

50 42 44 45

56 49 44 47

50 49 38 46

38 52 32 56

Is there evidence that the water is polluted?

1. Please find a SPSS file attached to the mail. This file contains information on 315 patients with 15 variables for each patient. First, spend some time looking at the data set so you understand what kind of information is provided by each variable.
   1. Determine the case summaries for the number, average and standard deviation of the daily caloric intake by sex, smoking status and vitamin usage. Which group has the highest average caloric intake/day? How many are in this group?
   2. Test the hypothesis that the plasma levels of beta-carotene and retinol are not significantly different between patients who take vitamins either often or occasionally. Be sure to include your conclusions in the output file.

Price: $23.64

Solution: The downloadable solution consists of 12 pages, 1164 words and 12 charts.
Deliverable: Word Document