# statistics

posted by .

A company director took a sample of salaries of 13 employees in a big school during a certain time. she divided the wages into three groups according to the different jobs: teachers, assistants and coordinators as displayed in the table below. She wanted to find out whether or not the means of the salaries classified by the three jobs are significantly different. Let the level of significance be

(a) 5 % and

(b) 1 %.

Workers 1 2 3 4 5
Teachers 74 65 72 69 -

Assistants 75 78 74 76 72

Coordinators 56 55 53 52 -
Can someone please help me to solve this question. I tried setting a hypothesis but I don't know if that is correct. Do I have to compare means?

st.statistics

• statistics -

With only 13 employees, it would be best to use X^2 (Chi-square) test.

Ho: no diference

X^2 = ∑ (O-E)^2/E, where O = observed frequency and E = expected frequency.

∑ = sum of all the cells.

E = (column total * row total)/grand total

df = n - 1, where n = number of cells

Look up value in X^2 table in the back of your textbook.

## Similar Questions

1. ### Statistics- I think I have the answer

The salaries (in thousands of dollars) for a sample of 13 employees of a firm are: 26.5, 23.5, 29.7, 24.8, 21.1, 24.3, 20.4, 22.7, 27.2, 23.7, 24.1, 24.8, and 28.2. Compute the variance of the salaries. a)2.562 b)6.125 - I Picked this …
2. ### Statistics

Sample salaries (in dollars) of high school teachers are listed. Find the sample mean and standard deviation of the data. 49,632 54,619 58,298 48,250 51,842 50,875 43,219 49,924
3. ### m/c

A researcher is hired by a company to ascertain the morale of company employees. The company employs over 10,000 employees. The researcher takes a random sample of 237 employees, interviews each sampled employee, and uses the information …
4. ### statistics

One hundred employees working in the construction, manufacturing, and various other industries were selected for review of salary information and educational level. The salaries of the one hundred employees were reviewed to determine …
5. ### math

Billie wishes to test the hypothesis that overweight individuals tend to eat faster than normal-weight individuals. To test this hypothesis, she has two assistants sit in a McDonaldâ€™s restaurant and identify individuals who order …
6. ### statistics

The distribution of weekly salaries at a large company is right skewed with a mean of \$1000 and a standard deviation of \$350. What is the probability that the sampling error made in estimating the mean weekly salary for all employees …
7. ### Statistics

There were two independent groups who took a school course by different modes. The first sample of students took the course in the online and the second sample took the course in the conventional face to face mode. Using the sample …
8. ### statistics

What is wrong with the statement: It is believed that the proportion of Middle School teachers who leave the profession within 5 years is different from the proportion of High School teachers who leave the profession within 5 years. …
9. ### statistics

Wages and salaries make up only part of a total compensation. Other parts include paid leave, health insurance, and many others. In 2007, wages and salaries among manufacturers in the United States made up an average of 65.8% of total …
10. ### Statistics

The distribution of weekly salaries at a large company is reverse J-shaped with a mean of \$1000 and a standard deviation of \$370. What is the probability that the sampling error made in estimating the mean weekly salary for all employees …

More Similar Questions