I am a little confused about a couple problems, i think because the word mean is used. Ill write them down. any help would be greatly appreciated!
PROBLEM : The advertised weight of a certain candy bar is 2.13 oz. however the actual weight can vary to a normal distribution with a mean of 2.20 oz and stadard dev. of 0.04 oz.
1) what is the probability that an individual candy bar weighs between 2.18 and 2.22 oz.
i found the z score for both so
2.22-2.13/ .04 and 2.18-2.13/0.04 i looked in teh table 2, subtracted them from each other and got .0934 so about 9 %??
I also assume that the CLT does not apply beause the sample is less than 10.
2) what does the clt say about how these means will vary from sample to sample? I wasnt really sure, i just know that as the sample size increases it will be more "normal"
3) calculate the probability that the sample mean of theses 5 candy bars falls between 2.18 and 2.22 oz.
do i just do 2.18-2.20/0.04 ( and the same for 2.22) and subract the z scores? Similar to the first problem??
4) how do you expect the prob. to change is the sample size were 40 instead? calculate the prob that the candy bar falls between 2.18 and 2.22?(d)
I have no idea where 40 would go.
5) What if the origional population had been skewed instead of normal. which of the 3 ( Q's 3, 4 and 1) probablilities that you calculated remains approx. correct?
thanks so much!