What I have are 8 homework questions that **require show work, rather than just the answer obtained via calculator.

1. It is claimed that the mean weekly grocery bill for a family of 4 is less than $145. A random sample of 22 grocery bills revealed a mean of $135, and a standard deviation of $23. Is there suffucuent evidence to support the claim at the 0.005 significance level using a t-test?

Identify known values

sample population SL


Hypotheses Ho:
Ha:

Test Criteria


Test Statistic



Decision

Conclusion


2. It is claimed that the mean weight of cereal in boxes is 13 ounces with a standard deviation of 0.26 ounce. A suurvey of 34 boxes yields a mean weight of 12.85 ounces. Is there sufficient evidence to reject the claim at the 0.05 significance level using a z-test?

Identify known values

sample population SL


Hypotheses Ho:
Ha:

Test Criteria


Test Statistic


Decision

Conclusion


3.It is claimed that the mean lifetime of an Ever-Britelight bulb is greater than 1000 hours. A random sample of 325 of these lightbulbs reveals a mean of 1025 hours, with a standard deviation of 98 hours. Is there sufficient evidence to support the claim at the 0.01 significance level using a z-test?

Identify known values

sample population SL

Hypotheses Ho:
Ha:

Test Criteria


Test Statistic


Decision

Conclusion


4. The following table illustrates the nuimber of toddler children a mother cares for, and the number of headaches she gets per week.

x (children) /0 1 1 2 2 2 3 3 6
____________________________________________
y (headaches) / 0 4 5 7 7 9 10 11 15

Test at the 0.01 significance level whether there is a significant linear correlation between the number of toddlers and number of headaches. Use an r-test.

Hypotheses Ho:
Ha:

Test Criteria



Test Statistic


Decision

Conclusion

5. Use the table from problem 4, where x is the number of toddler children being cared for and y is the number of headaches a week.
a) Draw a scatter plot



b)What type of linear correlatioon do x and y have? Check the answer.
Positive Linear Correlation or Negative Linear Correla-tion.
c)Determine the equation of the regression line in reference to the number of toddlers compared to the number of headaches.
______________________________________________________

d) Use the regression equation to predict the expected number of headaches per week a mother gets who cares for 5 toddlers, if meaningful. If not meaningful, explain.______________________________________________
______________________________________________________

e) Use the regression equation to predict the expected number of headaches per week a mother gets who cares for 25 toddlers, if meaningful. If not meaningful, explain.________________________________________________
________________________________________________________

6.Use the given data to test if there is a significant linear correlation between a person's age and the number of hours of daily television watching at the 0.05 significance level.
x (age) / 18 24 36 40 58
_____________________________________

Hypotheses Ho:
Ha:



Test Criteria



Test Statistic


Decision

Conclusion

7. a) Circle the r value below that would most likely estimate the amount of linear correlation between the following:
x= number of ice cream cones sold in California
y= number of touchdowns the Jaguars score this year

r= -0.524 r=0.001 r=-0.936 r=0.719

b) Which of the following shows the strongest linear correlation















/ Circle it.
r= 0.799 r= -0.824 r= 0.539 r= -0.201

8.a) Give an example of the variable y in which x and y would have a positive linear correlation.
x= the number of cars on the highway.
y=______________________________________________________

b) Give an example of the varible y in which x and y would have a negative linear correlation.
x= the price of a gallon of gas.
y= _____________________________________________________

c) Give an example of the variable y in which x and why would have no linear correlation.
x= the number of games that the FL Gators win.
y= ___________________________________________________

The urgency response for these homework questions is by Sunday 10:00 a.m. Eastern Standard Time.
Ha:

Test Criteria



Test Statistic


Decision

Conclusion





Decision

Already Tried:
I always try Kahn Academy first. However, to supplement the videos on kahn academy.com, I use my own reference books. The books are more imformative than explainative on showing examples and breakdown process of solving the problems. Study groups are also the options I have tried, but they're not always reliable because sometimes students that form these groups have other work obligations, study obligations, etc.