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**MAT 308 Assignment Problems 2015 | Complete Solution**

- From Mathematics, Statistics

**HomeworkExp****Rating :**24**Grade :****A+****Questions :**0**Solutions :**287**Blog :**1**Earned :**$9773.20

In this assignment you may use your book, your notes and your calculator. SHOW YOUR WORK WHERE STATED TO DO SO TO RECEIVE FULL CREDIT. Round all decimal answers to 4 decimal places.

- The population of the City of Baltimore is 622,104 (as of July 1, 2013). Mayor Rawlings-Blake would like a survey of the residents of Baltimore to determine if they are satisfied with how Monday’s riots were handled. How could a survey be developed that is unbiased and addresses a representative sample of the population?

- What is the difference between
*qualitative*and*quantitative*data? Give an example of each.

Consider the data below for questions 3--4.

3. What number best represents the 25th percentile?

4. Prove or disprove the existence of outliers.

- Determine the mean, median and mode for the data below. Which measure of central tendency
*best*represents the data? Provide reasoning supporting your answer.

Number of Days Absent per Student, Mr. Steven’s 6^{th} grade class

7 5 12 3 0 5 13 12 5 0 6 38

- 0 1 4 9 11 2 3 6 0 1 1

- Jason and Mary took an entrance exam with a certain company. Jason scored a 76%. His cohort’s average was 80% with a standard deviation of 5%. Mary also scored a 76%. Her cohort’s average was an 83% with a standard deviation of 8%. Determine a z-score for each person and compare their scores using z-scores. SHOW YOUR WORK

- A gumball machine contains 10 blue, 5 pink, 5 orange, 16 yellow and 14 white gumballs. What is the probability that a child receives a yellow followed by a white? (No replacement) SHOW YOUR WORK

- Find the probability of rolling two dice and getting a sum of eight. SHOW/EXPLAIN YOUR WORK

- 60 high school seniors are athletes. Of the seniors, 15 play soccer, 10 run cross country and 2 play soccer and run cross county. If one senior is selected at random for an athletic scholarship, what is the probability that the student is either a soccer player or a cross country runner? SHOW/EXPLAIN YOUR WORK

- In how many ways can 3 employees be selected to serve on a task force, if there are 12 employees?

- One card is selected from a standard deck of cards. What is the probability that it is a heart, given that it is a queen?

- Suppose that the probability of your favorite baseball player getting a hit at bat is 0.45. Assume that each at bat is independent. What is the probability that he bats eight times and gets exactly four hits? SHOW/EXPLAIN YOUR WORK

- On a given weekend, sobriety checkpoints average 10 DUI drivers. What is the probability that sobriety checkpoints will catch 20 or fewer DUI driver in a given month? (4 weekends) SHOW/EXPLAIN YOUR WORK

- Find the specified probability. Label the associated diagram. P(z > 1.43) SHOW/EXPLAIN YOUR WORK

- According to the Centers for Disease Control and Prevention, the total blood cholesterol levels in Americans are found to be normally distributed with a mean of 200 mg/dl and a standard deviation of 18 mg/dl. Determine the percentage of the population who have blood cholesterol levels between 182 and 218 mg/dl and label the associated diagram. SHOW/EXPLAIN YOUR WORK

- Suppose that the weights of female college students are normally distributed with a mean of 150 pounds and a standard deviation of 20 pounds. What weight represents the third quartile for female college students? SHOW/EXPLAIN YOUR WORK

- The confidence interval for a population mean is 17.8 < μ < 22.4. What is the margin of error? SHOW/EXPLAIN YOUR WORK

Consider the following information for questions 19-21. Construct a 95% confidence interval for the mean.

The president of a small community college wishes to estimate the average distance commuting student’s travel to the campus. A SRS of 12 students yielded the following distances in miles: 27,35,33,30,39,25,38,22,27,37,33,40.

- State the point estimate.

- Determine the margin of error for a 95% level of confidence. SHOW/EXPLAIN YOUR WORK. INCLUDE FORMULA.

- Construct a 95% confidence interval for the population mean distance commuting students travel to the campus.

- A manufacturer is testing the variance in the outer diameter of couplings. The diameters are measured in millimeters, and a random sample of 25 couplings has a sample variance of 2 mm. Construct a 95% confidence interval for the variance. SHOW YOUR WORK. INCLUDE FORMULA.

Consider the following information for questions 23-25.

Each bottle of fruit juice from a small manufacturing plant is supposed to contain exactly 12 fluid ounces of juice. Susan is in charge of quality control and decided to test this claim by gathering a SRS of 30 bottles. She will recalibrate the machinery if the average amount of juice per bottle differs from 12 fluid ounces at the 1% level of significance. Her sample of 30 bottles has an average of 11.92 fluid ounces and a sample standard deviation of 0.26 fluid ounces. Conduct a hypothesis test to determine if the machinery needs recalibrated.

- State hypotheses:

- Calculate test statistic and/or p-value. SHOW YOUR WORK. INCLUDE FORMULA.

- Conclude your test. Justify your answer. What does your answer imply about the machine?

Consider the following information for questions 26-27.

A restaurant claims that the standard deviation in the length of serving times is less than 2.9 minutes. A disgruntled customer believes that the standard deviation is more than 2.9 minutes. He takes a random sample of 23 serving times, which has a standard deviation of 3.5 minutes. At α = 0.10, is there enough evidence to support the customer’s claim? Assume the population is normally distributed.

- State hypotheses:

- Calculate test statistic. SHOW YOUR WORK. INCLUDE FORMULA.

- Conclude your test. Justify your answer. What does your answer imply about the customer?

Consider the data below for questions 29-30.

High School GPA 3.5 2.5 4.0 3.8 2.8 1.9 3.2 3.7 2.7 3.3

First-Year College GPA 3.3 2.2 3.6 3.7 3.3 2.0 3.1 3.4 2.3 3.1

- Determine the least squares regression line. State the correlation coefficient and its meaning.

- Use your regression line above to predict the GPA of a first-year college student who had a 3.5 GPA in high school.

**MAT 308 Assignment Problems 2015 | Complete Solution**

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- Submitted On 05 May, 2015 10:45:34

**HomeworkExp****Rating :**24**Grade :****A+****Questions :**0**Solutions :**287**Blog :**1**Earned :**$9773.20