Stat analysis | Mathematics homework help
1. Use the sample data attached to test the hypotheses
Ha: not all populations are equal
p is the population proportion of Yes responses for population i. Using a .05 level of significance, what is the p-value and the conclusion drawn?
2. The sample data attached represents the number of late and on time flights for Delta, United, and US Airways.
a. Formulate the hypothesis that will determine if the population proportion of late flights is the same for all three airlines
b. Conduct the test with a .05 level of significance. What is the p-value and your conclusion?
c. Compute the sample proportion of late flights for each airline. What is the overall proportion of late flights for the three airlines
3. The table attached contains observed frequencies for a sample of 240. Test for independence of the row and column variables using a .05 level of significance.
4. Based on the sales over a six-month period, the five top-selling compact cars are Chevy Cruz, Ford Focus, Hyundai Elantra, Honda Civic, and Toyota Corolla. Based on total sales, the market shares for these five compact cars were: Chevy Cruze (24%), Ford Focus (21%), Hyundai Elantra (19%), Honda Civic (18%), and Toyota Corolla (17%). A sample of 400 compact car sales showed the number of vehicles sold (see attachment). Use a goodness of fit test to determine if the sample data indicates that the market shares for the five cars are different that the market shares reported. Using a .05 level of significance, what is the p-value and what is your conclusion? What market share differences exist, if any?
5. A survey asked participants to rate the quality of management and reputation of 250 companies. The companies were rated on an excellent, good, fair categorical scale. Assume the sample data attached for 200 respondents applies.
a. Using a .05 level of significance, test for the independence of quality of management and reputation. What’s the p-value and your conclusion?
b. If there is a dependence or association, discuss and use probabilities to justify your answer
6. The sample data attached was designed to determine if the population proportion of good parts was the same for all three shifts
a. Using a .05 level of significance, conduct a hypothesis test to determine if the population proportion of good parts is the same for all three shifts. What is the p-value, and what is your conclusion?
b. If the conclusion is that the three population proportions are not all equal, use a multiple comparison procedure to determine how the shifts differ in terms of quality. What shift(s) need to improve the quality of parts produced?
7. Samples taken in three cities (attached) were used to learn about the proportion of married couples where both husband and wife are in the workforce.
a. Conduct a hypothesis test to determine if the population proportion of married couples with both husband and wife in the workforce is the same for the three cities. Using a .05 level of significance, what is the p-value and what is your conclusion?
b. Using these three samples, what is an estimate of the proportion of married couples with both husband and wife in the workforce?
8. Develop the analysis of variance computations for the following completely randomized design. Using a .05 level of significance, is there a difference between the treatment means? (see attached)
9. Use Fisher’s LSD procedure to develop a 95% confidence interval estimate of the difference between the means for manufacturer 1 and manufacturer 2 (see attached).
10. An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (see attached). Use a .05 level of significance to test for any significant differences.
11. A study investigated the cardiac demands of shoveling snow. Ten men underwent exercise testing with a treadmill and ergometer. Then they cleared two tracts of snow using a shovel and snow thrower. Each subjects heart rate, blood pressure, and perceived exertion during snow removal were compared with the values obtained (see attached). The table gives the heart rates in beats per minute for each of the 10 subjects. At the .05 level of significance, test for any differences.
12. The attached data is from an experiment designed to investigate the perception of corporate ethical values among marketers
a. Use a .05 level of significance to test for differences in perception
13. A catalog firm designed a factorial experiment to test the effect of the size of an advertisement and the advertisement design on the number of catalog requests received (in the thousands). Three designs and two sizes were considered (see attached). Use the ANOVA procedure for factorial designs to test for any significant effects due to type of design, size of advertisement, or interaction. Use a .05 level of significance.
14. At a .05 level of significance, test for any difference in the job satisfaction among the four professions (see attached).
15. A company designed a factorial experiment to determine whether the number of defective parts produced by two machines differed, and if the number of defective parts produced also depended on whether raw materials were loaded manually or automatically. Use a .05 level of significance to test for any significant effect due to machine, loading system, and interaction.