A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. On average, when surveyed regarding job satisfaction, teachers give a score of 3.3 out of 5 with a standard deviation of 0.6. When the authors of the study interviewed 40 teachers who supplemented with their own materials, they found 3.5 to be the mean. The authors wanted to know if the group of teachers that could choose supplementary curriculum had a higher level of job satisfaction. They used a significance level of 1%. Which of the following statements is valid based on the results of the test

Question:

The options given are as follows:

a. the data shows that the authors make a strong point with the date

b. the data shows that the authors cannot make a determination either way with this data.

c. 70% teachers are not satisfied with their jobs

d. none of the above

The correct option is;

b. The data shows that the authors cannot make a determination either way with this data.      

Step-by-step explanation:

z = (x - μ)/(σ/√n)

Z = (3.5- 3.3)/0.6/√40 = 2.10

Fr om the areas under the normal distribution curve we have

P (z = 2.10)  = 0.9821    

However, the population statistic did not specify if the teachers were allowed to choose their curriculum or whether the teachers were assigned all the curriculum, or whether the teachers preferred being allowed to choose their curriculum or they rather being handed circular resources for class use.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length