16 Mar Use 5% as a significance level In the last decade
Problem 1 [50% of the mark]. Use 5% as a significance level
In the last decade stockbrokers have drastically changed the way they do business. Internet trading has become quite common and online trades can cost as little as $7. It is now easier and cheaper to invest in the stock market than ever before. What are the effects of these changes? To help answer this question, a financial analyst randomly sampled 366 American households and asked each to report the age of the head of the household and the proportion of their financial assets that are invested in the stock market. The age categories are:
Young (under 35)
Early middle age (35 to 40)
Late middle age (50 to 65)
Senior (over 65)
The analyst was particularly interested in determining whether the ownership of stocks varied by age. Do these data allow the analyst to determine that there are differences in stock ownership between the four-age group? Check the required conditions.
File: Proportion of Total Assets Invested in Stocks
Problem 2 [50% of the mark] – Use 5% as a significance level
One measure of the health of a national economy is how quickly it creates jobs. One aspect of this issue is the number of jobs individual hold. As part of a study on job tenure, a survey was conducted wherein Americans aged between 17 and 45 were asked how many jobs they have hold in their lifetimes. Also recorded were gender and educational attainment. The categories are
Less than high school (E1)
High school (E2)
Some college/university but not degree (E3)
At least one university (E4)
A. Test to determine whether there are differences in holding jobs between men
and women.
B. Test to determine whether there are differences in holding jobs between the
educational levels.
File: Comparing the Lifetime Number of Jobs by Educational Level – (Organize Data by Gender and Education)
Stock – Problem 1
| Young | Early Middle Age | Late Middle Age | Senior |
| 24.8 | 28.9 | 81.5 | 66.8 |
| 35.5 | 7.3 | 0.0 | 77.4 |
| 68.7 | 61.8 | 61.3 | 32.9 |
| 42.2 | 53.6 | 0.0 | 74.0 |
| 49.5 | 0.0 | 45.4 | 0.0 |
| 64.6 | 49.4 | 42.3 | 35.2 |
| 58.3 | 71.4 | 75.3 | 21.4 |
| 72.0 | 53.7 | 54.7 | 0.0 |
| 25.6 | 46.9 | 0.0 | 61.4 |
| 39.8 | 91.6 | 20.5 | 61.8 |
| 39.3 | 46.0 | 76.4 | 35.6 |
| 55.6 | 41.8 | 38.0 | 53.0 |
| 0.0 | 53.2 | 39.8 | 38.5 |
| 56.5 | 0.0 | 78.4 | 53.7 |
| 37.3 | 43.7 | 0.0 | 69.1 |
| 50.3 | 78.1 | 76.7 | 55.5 |
| 38.0 | 54.7 | 72.7 | 31.6 |
| 42.7 | 45.7 | 0.0 | 0.0 |
| 48.4 | 63.1 | 33.0 | 57.3 |
| 18.3 | 50.4 | 11.0 | 42.7 |
| 50.1 | 38.6 | 0.0 | 37.9 |
| 77.2 | 59.8 | 60.3 | 60.9 |
| 42.7 | 67.8 | 89.3 | 72.3 |
| 0.0 | 48.4 | 56.0 | 45.8 |
| 0.0 | 0.0 | 47.9 | 69.0 |
| 46.3 | 60.6 | 36.0 | 41.6 |
| 26.8 | 66.4 | 60.0 | 2.3 |
| 15.3 | 52.2 | 47.8 | 49.7 |
| 36.6 | 56.1 | 67.2 | 43.3 |
| 35.5 | 45.0 | 61.8 | 68.8 |
| 70.0 | 80.7 | 61.4 | 100.0 |
| 35.8 | 37.4 | 68.7 | 46.3 |
| 0.0 | 94.9 | 30.8 | 45.7 |
| 45.0 | 58.1 | 84.9 | 17.5 |
| 66.9 | 51.8 | 77.4 | 62.2 |
| 52.1 | 43.5 | 34.6 | 69.4 |
| 64.6 | 50.9 | 40.5 | 48.6 |
| 37.1 | 39.8 | 46.5 | 53.4 |
| 29.7 | 41.6 | 32.4 | 34.8 |
| 53.7 | 68.0 | 57.0 | 72.3 |
| 39.5 | 58.7 | 41.2 | 72.6 |
| 81.9 | 84.8 | 55.3 | 47.1 |
| 27.7 | 50.1 | 68.9 | 62.3 |
| 48.9 | 55.4 | 70.2 | 50.8 |
| 51.9 | 47.3 | 36.2 | 51.1 |
| 44.6 | 87.2 | 68.2 | 67.3 |
| 67.0 | 0.0 | 44.5 | 42.5 |
| 48.8 | 50.6 | 54.8 | 55.3 |
| 38.1 | 44.2 | 62.5 | 60.8 |
| 0.0 | 54.8 | 69.7 | 71.3 |
| 69.2 | 76.4 | 57.5 | 56.8 |
| 33.5 | 7.3 | 64.7 | 52.7 |
| 49.6 | 32.7 | 58.0 | 51.2 |
| 32.3 | 65.4 | 34.0 | 88.5 |
| 70.2 | 66.0 | 63.7 | 81.2 |
| 50.7 | 55.9 | 62.5 | 72.4 |
| 74.0 | 84.0 | 67.0 | 47.6 |
| 50.0 | 87.1 | 50.4 | 65.7 |
| 49.3 | 83.1 | 44.1 | |
| 60.7 | 70.6 | 52.0 | |
| 25.1 | 91.2 | 52.9 | |
| 30.6 | 34.3 | 75.5 | |
| 0.0 | 73.1 | 78.9 | |
| 59.0 | 73.2 | 52.5 | |
| 59.7 | 32.5 | 79.8 | |
| 75.8 | 50.7 | 59.4 | |
| 50.2 | 65.4 | 58.3 | |
| 46.4 | 60.8 | 70.4 | |
| 57.9 | 65.5 | 57.5 | |
| 46.8 | 48.4 | 29.7 | |
| 55.5 | 0.0 | 44.4 | |
| 67.6 | 48.5 | 63.9 | |
| 42.2 | 68.3 | 67.4 | |
| 41.8 | 50.8 | 58.5 | |
| 78.5 | 55.8 | 92.4 | |
| 37.2 | 75.8 | 31.6 | |
| 0.0 | 0.0 | 22.6 | |
| 33.2 | 59.6 | 0.0 | |
| 50.4 | 57.3 | 33.2 | |
| 37.4 | 47.4 | 65.5 | |
| 36.0 | 58.2 | 63.2 | |
| 44.6 | 55.0 | 50.6 | |
| 52.0 | 61.6 | 60.0 | |
| 61.0 | 80.2 | 47.0 | |
| 85.1 | 31.1 | ||
| 68.3 | 54.0 | ||
| 35.1 | 41.6 | ||
| 38.2 | 59.5 | ||
| 62.0 | 55.2 | ||
| 69.4 | 42.3 | ||
| 57.8 | 61.8 | ||
| 0.0 | 71.6 | ||
| 57.7 | 31.1 | ||
| 67.2 | |||
| 38.7 | |||
| 17.2 | |||
| 71.4 | |||
| 49.3 | |||
| 43.8 | |||
| 50.8 | |||
| 59.6 | |||
| 48.2 | |||
| 80.1 | |||
| 44.5 | |||
| 57.9 | |||
| 55.2 | |||
| 53.8 | |||
| 60.3 | |||
| 64.7 | |||
| 44.9 | |||
| 66.0 | |||
| 67.9 | |||
| 30.4 | |||
| 0.0 | |||
| 52.5 | |||
| 56.2 | |||
| 20.6 | |||
| 70.2 | |||
| 9.5 | |||
| 37.3 | |||
| 71.1 | |||
| 45.0 | |||
| 73.2 | |||
| 47.1 | |||
| 6.7 | |||
| 56.5 | |||
| 41.2 | |||
| 63.5 | |||
| 71.1 | |||
| 45.6 | |||
| 84.0 | |||
,
Jobs – Problem 2
| Male E1 | Male E2 | Male E3 | Male E4 | Female E1 | Female E2 | Female E3 | Female E4 |
| 10 | 12 | 15 | 8 | 7 | 7 | 5 | 7 |
| 9 | 11 | 8 | 9 | 13 | 12 | 13 | 9 |
| 12 | 9 | 7 | 5 | 14 | 6 | 12 | 3 |
| 16 | 14 | 7 | 11 | 6 | 15 | 3 | 7 |
| 14 | 12 | 7 | 13 | 11 | 10 | 13 | 9 |
| 17 | 16 | 9 | 8 | 14 | 13 | 11 | 6 |
| 13 | 10 | 14 | 7 | 13 | 9 | 15 | 10 |
| 9 | 10 | 15 | 11 | 11 | 15 | 5 | 15 |
| 11 | 5 | 11 | 10 | 14 | 12 | 9 | 4 |
| 15 | 11 | 13 | 8 | 12 | 13 | 8 | 11 |
