Question

Statistics' students of a class of Lyceum want to calculate the average number of chocolate pieces in a standard package of biscuits SANTAS. They choose a random sample of biscuits, measure chocolate pieces in each cookie and calculate the 95% confidence interval for the average of chocolate pieces per cookie (17.5 to 23.4).
Issues 1-4 are four different interpretations of the results. Note which of these is right and what not.

Answer 1

1)We are 95% sure that each cookie of this brand contains about 17.5 to 23.4 pieces of chocolate. (T/F)

2) We estimate that 95% of the cookies contain 17.5 to 23.4 pieces of chocolate. (T/F)

3) We suppose that 95% of the average of all possible samples of this population will range from 17.5 to 23.4 parts of chocolate. (T/F)

4) We are 95% confident that the confidence interval [17.5 to 23.4] contains the actual average chocolate chips per cookie. (T/F)

Answer 2

1) True
2) False
3) True
4) False.

Do you agree?

Answer 3

All opinions are welcome..

@amistre64 your opinion?

Answer 4

I changed my mind. 3 is False and 4 is True. Right?

Answer 5

4 is how a tend to read these yes; the sample itself is assumed to fall within the normal range of the statistics being calculated. Where in that range? We cant really tell. Is it an outlier by chance? So we spread a net over as wide of an area as we can, and conclude that the population parameter lies somewhere within our net.

Answer 6

i cant be certain of the others options tho ....

Answer 7

@amistre64 So I am right about 4 is True.. Thank you!

Any other suggestions from somebody??

Answer 8

@kropot72 This one..

Answer 9

4 is definitely true. None of the other choices appears correct to me.

Answer 10

@kropot72 Thank you again. I am sure that 2 and 3 are false. I am 50/50 for 1. 1 maybe is true..

Answer 11

The standard deviation of the population is not known. Therefore the SD must be estimated from the sample. Also the sample size is not given. For these reasons I think that 1 is false.

Answer 12

@kropot72 i dont know i am very confused about A.. i dont know if he wants to think that the sample size is a normal one///

Answer 13

@kropot72 Or maybe you are right about A. Because we dont have something for the population (this specific brand), so I do not think that we can draw conclusions for each cookie of this brand.. So maybe is False!

Answer 14

@kropot72 hey men..thank you alot.. Finally done.. all correct for both questions.. thank youuuuuu!!

Answer 15

You're welcome :) Thank you for the feedback.