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RoberttheRocket
RoberttheRocket, Teacher/tutor
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Statistics

Customer Question

According to the department of Agriculture, the average American consumed 20 lbs of cheese in 1985. In order to test if there has been a decrease in cheese consumption, a random sample of 25 people has been chosen and their mean cheese consumption last year was found to be 19.5 lbs with a standard deviation of 4lbs. Use l=.01 to test if the mean cheese consumption has decreased from the 1985 figure. This is a 3 part question. What does m represent? 1. The population mean consumption of cheese in 1985. 2. The sample mean consumption of cheese in 1985 3. The population mean consumption of chees last year 4. The sample mean consumption of cheese last year 5. The population standard deviation of cheese consumption last year.
Which of the following is the appropiate rejection regions?(TS=test statistic) 1. TS2.485 4. TS2.492 5. TS>2.326
Which of the following is the value of the test statistic? 1. -3.125 2. -0.125 3. 0.125 4. -0.625 5. 0.625

Submitted: 11 years ago.
Category: Homework
Expert:  RoberttheRocket replied 11 years ago.

What does m represent?  4. The sample mean consumption of cheese last year 


u is the population mean and  m is the sample mean. 


 
Which of the following is the appropiate rejection regions?(TS=test statistic)  5. TS>2.326


for l=.01, the rejection region for a one tailed test would be 2.326 or -2.326.


 


 


Which of the following is the value of the test statistic?          4. -0.625  


z = m - u/(a/Vn)   Vn = square root of n


where m = 19.5, u = 20, a = 4, n = 25


z = 19.5 - 20/ 4/V25


= -.5 / 4/5


= -.5 * 5/4


= -2.5/4


=  - .625  




Expert:  RoberttheRocket replied 11 years ago.

I notice one of your problems has "m" as a population mean.   Most statistics books has "m" as the sample mean.  If you're instructor or book has "m" as the population mean, then m would represent "1. The population mean consumption of cheese in 1985. "


 


 

Customer: replied 11 years ago.
Reply to RoberttheRocket's Post: Robert,
I have four other questions for Statistics. Is there any way that you can answer them. I have had them out there since Sunday. If not, I will try another web site. Thanks

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