When 893893 male workers were asked how many hours they worked in the previous week, the mean was 45.645.6 with a standard deviation of 14.614.6. Does this suggest that the population mean work week for men exceeds 4040 hours? Answer by completing parts (a) through (d).

a) A. The relevant variable is the population mean work week (in hours) for workers aged 18-25.

b) Null hypothesis:  

Alternative hypothesis:  

c)    

The p value for this case would be:

d) Since the p value is a very low value we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case exceeds 40 hours.

Step-by-step explanation:

Information provided

represent the sample mean

represent the sample standard deviation

sample size  

represent the value to verify

t would represent the statistic  

represent the p value

a. Identify the relevant and parameter variable. Choose the correct relevant variable below.

A. The relevant variable is the population mean work week (in hours) for workers aged 18-25.

b. State the null and alternative hypotheses. State the null hypothesis.

We want to verify if the population mean is higher than 40, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

c. Calculate the statistic

 (1)  

Replacing the info given we got:

The p value for this case would be:

d. Conclusion

Since the p value is a very low value we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case exceeds 40 hours.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4