(, ) The correct interpretation of the confidence interval is that we are 90% confident that the interval contains the Select an answer true randomly selected sampled Select an answer mean amount proportion data of chocolate chips per cookie for Big Chip cookies. Can we conclude that the actual average number of chocolate chips per cookie for Big Chip cookies is at least 15.3?
Objective: Finding a confidence interval and drawing a conclusion
Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 24 cookies and finds a highly skewed distribution, along with an average of 16.1 chocolate chips per cookie and a standard deviation of 2.1. What is the 90% confidence interval for the actual average number of chocolate chips per cookie for Big Chip cookies? Enter your answers accurate to one decimal place.
(, )
The correct interpretation of the confidence interval is that we are 90% confident that the interval contains the Select an answer true randomly selected sampled Select an answer mean amount proportion data of chocolate chips per cookie for Big Chip cookies.
Can we conclude that the actual average number of chocolate chips per cookie for Big Chip cookies is at least 15.3?
- No; the entire interval does not agree with this claim.
- Yes; the entire interval agrees with this claim.
- Yes; the entire interval does not agree with this claim.
- No; the entire interval agrees with this claim.
Choose the best response that discusses the validity of your results.
- Valid −- the symmetry in the original distribution should allow X¯ to be
normally distributed - Questionable - the skewness in the original distribution should make us concerned if X¯ is normally distributed
- Questionable - our
sample size is not large enough to use the Central Limit Theoreom - Valid - our sample size is large enough to use the Central Limit Theoreom
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