Project #6142 - Statistics

Task
1) A study was conducted on an income-enhancing course advertised on late night "infomercial". Twelve subjects were randomly selected and their annual incomes was recorded for each subject, both before taking the course and one year after taking the course. The data is shown below.

Annual Income ($1,000's)
subject Before course After course
1 33.6 45.2
2 65.1 62.2
3 24.8 27.9
4 46.2 46.3
5 78.4 65.3
6 84.2 98.5
7 21.5 20.2
8 33.8 31.3
9 52.5 71.9
10 64.3 63.8
11 35.1 41.0
12 49.3 55.3

question 2) A student group wishes to know the typical GPA of first-year college students. Assuming a normal population, test the claim that the mean GPA of a first-year college student is at least 3.00, based on the random sample given below. Also find the 95% confidence interval for the true mean GPA of the first year college students and interpret the interval.

Student GPA
1 3.25
2 3.5
3 3.33
4 3.75
5 2.67
6 2.83
7 4.0
8 2.83
9 3.5
10 3.75
Detailed explanation: YES
Specific requirements:
1a) Which test should you use to analyze the data and why? Be specific.
1b) Test the claim that taking the course improves annial income, on the average
Ho: Ha:
P-value: Alpha:
Conclusion:
1c) Find the CI for the mean difference in income and interpret the interval:

question2) Ho: Ha: P-value:
alpha: Conclusion: The 95% Confidence Interval:
Task
Some college statistics instructors publish bound lectures notes and ask the students to purchase these notes as an aid to the student. To test the claim that the lecture notes were effective, an instructor randomly selected students from a class with the lecture notes and another similar sample of students from a class where the notes were note available. These two samples are conducted independent. The instructor then compared the final exam scores of the two samples. The statistics from each sample is shown below. Test the claim that there are higher mean test scores in the class where there are lectures notes, meaning the lecture notes were effective.
Final exam scores (lectures note are given) n1=64 x-bar,= 85.2 S1=7.8 Final exam scores (no lecture notes) n2=72 x-bar2=80.2 S2=8.4

4) On a future state election is a measure that would increase the state corporate minimum tax. The debate on weather to pass this measure is a "hot issue" for many politicians and citizens. Registered county voters were asked the question, "Do you support increasing the state minimum corporate tax?" Out of 655 voters pulled, 383 answered "yes" and the balance answered no. Test the claim that more than half of all county registered voters support increasing the state minimum corporate tax. Also find and interpret the 99% confidence Interval of the true percentage of voters that support the increase.

5) Two companies claim that their new hybrid car has better fuel economy then the other company's hybrid car. Company H's car has an average of 46.2 mpg for a sample of 15 cars with a standard deviation of 1.8 mpg. Company T has a car that averages 46.9 mpg from a sample of 12 cars with a standard deviation of 2.1 mpg. Test the claim that both cars have the same average fuel economy, assuming the populations are normal. Also find the 95% confidence interval for the true mean difference in fuel economy of the two cars and interpret the interval.

6) In the table blow, data is shown that compares the number of cars by the day of the week and the type of car that enter a rural road's intersection. This data was randomly observed. Test the claim that there is "no association" between the day of the week and the type of car that enters the intersection
Sun Mon Tues Wed Thurs Fri Sat
compact 12 22 27 31 34 38 27
Midsize 15 25 29 31 36 42 32
Luxury 6 13 18 24 31 10 6
Suv/pick 18 22 25 34 27 25 22

7) Test the claim of a local supermarket that the number of customers at check stand #3 during the 6pm hour is the same for each day of the week, based on the data below, at the 2.5% significance level
Day sun mon tues wed thurs fri sat
Count 27 25 28 31 34 38 35
Detailed explanation: NO
Specific requirements:
3) Ho: Ha: Alpha: P-value: Conclusion:

4) Ho: Ha: P-Value: Alpha: Conclusion: The 99% confidence interval:

5) Ho: Ha: P-value: Alpha: Conclusion: The 95% confidence interval:

6) Hypothesis: P-vlaue: Alpha: Conclusion:

7) Hypothesis: P-value or test stat: alpha or critical Value: Conclusion:

Subject Mathematics
Due By (Pacific Time) 05/14/2013 04:30 pm
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