Question

Shania loves squirrels, but she has no idea what the mean of her squirrels weight is. She takes a random sample of n=214 squirrels and obtains a 95% confidence interval for µ, the true mean weight of all of the squirrel weights in her yard – 0.8 to 1.4 lbs.

Which of these is the correct interpretation of her confidence interval?

A. Shania can be 95% confident that the true mean weight of the squirrels in her yard is between 0.8 and 1.4 lbs.

B. There is a 95% probability that the true mean weight of the squirrels in her yard is between 0.8 and 1.4 lbs.

C. 95% of the individual squirrels in Shania's yard weigh between 0.8 and 1.4 lbs.

D. If a squirrel came onto Shania’s deck, she would have to stay 6 feet away from it.

Answer 1

A)

Reason :Option A will be correct since the confidence interval was at 95% at this are the correct usage of words, we write we are 95%confident that the true mean lies between .8 to 1.4 lbs

Option B will be incorrect because the true mean weight is a constant value we cannot calulate the probability for a constant

The confidence intervals are regarded as parameter catchers and when we say the confidence interval is 95% we mean there is 95% chance that the confidence interval will catch the parameter -true mean