the data below shows the hours employees worked per week for two companies: company a: what is the…

the data below shows the hours employees worked per week for two companies: company a: what is the difference between the means of the two companies? round each companys mean to the nearest tenth before finding the difference and provide your answer as a decimal.

the data below shows the hours employees worked per week for two companies: company a: what is the difference between the means of the two companies? round each companys mean to the nearest tenth before finding the difference and provide your answer as a decimal.

Answer

Explanation:

Step1: Calculate mean of Company A

The data - points for Company A are: 0 (2 times), 2 (5 times), 6 (5 times). The sum of the data - points is (0\times2 + 2\times5+6\times5=0 + 10+30 = 40). The number of data - points (n_A=2 + 5+5=12). The mean of Company A, (\bar{x}_A=\frac{40}{12}\approx3.3).

Step2: Calculate mean of Company B

The data - points for Company B are: 4 (4 times), 6 (3 times), 8 (3 times), 10 (3 times). The sum of the data - points is (4\times4+6\times3 + 8\times3+10\times3=16+18 + 24+30=88). The number of data - points (n_B=4 + 3+3+3=13). The mean of Company B, (\bar{x}_B=\frac{88}{13}\approx6.8).

Step3: Calculate the difference between the means

The difference (\Delta\bar{x}=\bar{x}_B-\bar{x}_A). (\Delta\bar{x}=6.8 - 3.3=3.5).

Answer:

3.5