Each student is required to turn in one Applied Project and 2 Hypothesis Testing Assignments. The projects


Each student is required to turn in one Applied Project and 2 Hypothesis Testing Assignments. The projects may be hand written or typed. Computer use is encouraged. If it is hand written, the project must be done neatly in ink and double-spaced for easier reading.

Assignments in Hypothesis Testing:

During the semester you will be required to turn in 2 projects in hypothesis testing. The information regarding the problems is listed below.

Assignment for Applied Project: You have been asked by the Census Bureau to gather info about the age (in years) of the people in Virginia. The information gathered will be used to better understand the distribution of ages so that key decisions can be made within the State.

You will need to obtain the ages (in years) of at least 30 individuals.

  1. Describe your data, where did the data come from?
  2. Find the following statistic; mean, median, mode, midrange, range, standard deviation, variance, sample size, and quartiles
  3. Construct a frequency table, histogram, stem & leaf plot and box-plot
  4. Include a table that lists class limits, class boundaries, frequency and relative frequency.
  5. Construct 90%, 95% and 99% confidence intervals about the mean of your data
  6. Assuming that we have a normal distribution, calculate the following probabilities from your data:
  1. P(45<x<65) b. P(x<20) c. P(x>60) d. P(18<x<40)
    7. Previous information gathered by the Bureau shows that the average age of a person in VA is p = 46. Assuming a normal distribution
    a. Use a 1% level of significance to test the claim that the average age of a person in VA is different from 46; use info from your sample. Explain the results.
  2. Use a 5% level of significance to test the claim that the average age of a person in VA is greater than the claim of 46. Explain the results.

8. Write a half page summary about your results from this study; was it what you expected, what are your conclusions?

Project problem #1 Run a hypothesis test....

A brewery claims that the consumers are getting a mean volume equal to 32 ounces of beer in their quart bottles. The Bureau of Weights and Measures randomly selects 36 bottles and obtains the following measures in ounces:

32.09 31.89 31.06 32.03 31.42 31.39 31.75
31.53 32.42 31.56 31.95 32.00 31.39 32.09
31.67 31.47 32.45 32.14 31.86 32.09 32.34
32.00 30.95 33.53 32.17 31.81 31.78 32.64
31.06 32.64 32.20 32.11 31.42 32.09 33.00
32.06

Use the sample standard deviation as an estimate of \(\sigma \) , and test the claim of the brewery at the 0.05 significance level.

Correlation and Regression Project Chapter 9

Medical researchers have noted that adolescent females are much more likely to deliver low birth weight babies than are adult females. Because low birth weight babies have higher mortality rates, there have been a number of studies examining the relationship between birth weight and mother's age for babies born to young mothers. One such study is described in the article "The Risk of Teen Mothers Having Low Birth Weight Babies: Implications of Recent Medical Research for School Health Personnel"(J. of School Health (1998)271-274. The accompanying data on X = maternal age (years)

And

Y=birth weight of baby (grams)

Observations:

1 2 3 4 5 6 7 8 9 10
X 15 17 18 15 16 19 17 16 18 19
Y 2289 3393 3271 2648 2897 3327 2970 2535 3138 3573
  1. Make a scatter plot
  2. Find little r and decide if correlation exists or not.
  3. If correlation does exist, find the regression equation.
  4. What is the best predicted weight of a baby whose mother is 18 years old?
  5. What is the best predicted weight of a baby whose mother is 15.5 years old?
  6. What are the values for the centroid?
  7. Should I use this to calculate the birth rate for a young woman who is 21 years old? Why or why not?
Price: $23.93
Solution: The downloadable solution consists of 11 pages, 1293 words and 8 charts.
Deliverable: Word Document


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