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STATS 167 Week 5 – Individual Assignment – Final Exam – A+ answers!

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STATS 167 Week 5 – Individual Assignment – Final Exam – A+ answers!

STATS 167 STAT/167

University of Phoenix, Axia College

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1. Scores on an epidemiology test for 30 students were as follows:

83 67 94 77 55 82

79 72 88 65 81 63

92 61 85 71 79 70

89 52 66 63 75 84

99 81 73 79 68 77

a) Use Statdisk and find the user-defined *relative frequency* histogram with class width 10 starting at 50. Turn Labels “On.” Save and insert your histogram here. (2 pts.)

b) Sarah made 92 on the exam. Her z-score is: (1.0 pt)

2. For a single roll of a die, the following events are defined: (1.0 pt)

A: Event F: Roll an even number

Event G: Roll an odd number

B: Event J: Roll 1, 2, 3, or 4

Event H: Roll 4, 5, or 6

Define the term *mutually exclusive*.

3. Each employee at St. Goodenough Hospital is rated either below average, average, or above average with respect to professional knowledge. Each employee is also rated with respect to potential for advancement – fair, good, or excellent. These assessments are shown for the 500 employees.

What is the probability that an employee selected at random will have excellent potential for advancement? (1.0

a) Find the probability that an employee selected at random will have average or above average professional knowledge and also have excellent potential for advancement. (1.0 pt)

4. Precisely, what is the Central Limit Theorem (CLT)? Explain in detail why is it important? (1.0 pt)

5. Highlight any statements that are valid: (1 pt)

a. Within certain limitations, the binomial distribution can be approximated by the normal distribution, enabling us to use the normal distribution for calculations involving a binomial distribution.

b. According to the CLT, the sampling distribution of the sampling mean approximates the normal distribution in a way that will not improve with an increase in the size of the samples.

c. The CLT cannot be applied unless the population probability distribution is known.

d. No formal proof has ever been found for the CLT. It remains our best guess.

6. Load the Statdisk dataset *Female Health Exam Results* (Part I) into the Statdisk editor. Use Statdisk to make a Normal Quantile Plot of the Column 2 (Height) data. Insert the graph below. (2.5 pts)

7. The post anaesthesia care area (recovery room) at St. Luke’s Hospital in Pflugerville, Ontario, was recently enlarged. The hope was that with the enlargement the mean number of patients per day would be more than 25. A random sample of 15 days from an approximately normal population revealed the following numbers of patients: (3 pts)

8. For the next set of problems, highlight the single best answer. (2.0 pts)

a) A range of values constructed from sample data so that the parameter occurs within that range at a specified probability is

(1) a confidence interval

(2) the population parameter

(3) a point estimate

(4) the mean of the population

b) The size of sample error is affected by the standard deviation of the sample and

(1) a confidence interval

(2) the population parameter

(3) the point estimate

(4) the sample size

c) Suppose we select 100 samples from a population. For each sample we construct a 95% confidence interval. We could expect about 95% of these confidence intervals to contain

(1) a sample mean

(2) the population mean

(3) a point estimate

(4) the standard deviation of the population

d) The *t*-distribution is used when the population is normal and

(1) the population standard deviation is unknown

(2) the population standard deviation is known

(3) the mean of the population is unknown

(4) the point estimate is known

9. As part of a safety check, the Keystone Cops randomly stopped 65 ambulances and checked their tire pressure. The sample mean was 32 lbs/sq. in. with a sample standard deviation of 2 lbs/sq. in. Find the 98% confidence interval for the population mean. [Hint: Use or check with Statdisk] (1.5 pts)

10. Give accurate but brief answers to the following questions: (1.0 pts)

11. Highlight the following statement that is *not* correct regarding the coefficient of correlation. (1.0 pts)

a) It can range from -1 to +1.

b) Its square is the coefficient of determination.

c) It measures the percent of variation explained.

d) It is a measure of the association between two variables.

12. A study is conducted concerning automobile speeds for a specific model and resultant fuel consumption rates. The data given in the table was randomly collected. (1.0 pt)

a. Compute the coefficient of correlation by using Statdisk.

b. Interpret your results in real world terms. Also name the dependent and independent variables.

- Shortly after the World Trade Center towers were destroyed by terrorists,
- Identify the level of measurement (nominal, ordinal, interval, ratio) used in each of the following (1.0 pts)

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