A 95% confidence interval for the average lifetime of a cellphone was (1.89, 2.7

Question

A 95% confidence interval for the average lifetime of a cellphone was (1.89, 2.78) years.

Which of the following are statistically valid statements? (more than option could be correct)

______ If we did 100 confidence intervals about 95 of them would capture the true average

______ 95% of confidence intervals done this way will correctly capture the true average

______ If we did many similar studies, 95% would have a sample mean between 1.89 and 2.78 years

______ 95% of the time the sample average will be within a margin of error of the true average

______ The true average lifetime of a cellphone is between 1.89 and 2.78 years with 95% confidence

______ The probability that the true average is between 1.89 and 2.78 years is either 0 or 1

______ It is completely impossible to ever actually understand what confidence really means

______ 95% of all cellphones will last between 1.89 and 2.78 years

___­___ We are 95% confident the average lifetime for cell phones is between 1.89 and 2.78 years

______ 95% of the time the average cell phone lifetime is between 1.89 and 2.78 years

______ There is a 95% probability the average lifetime for cellphones is between 1.89 and 2.78 years

______ The average lifetime for cellphones is between 1.89 and 2.78 years 95% of the time

______ A new confidence interval has a 95% probability of being 1.89 to 2.78 years

______ 95% of all studies would have a confidence interval between 1.89 and 2.78

______ There is a 95% probability the next confidence interval will capture the true population average

______ There is a 95% probability that the next cellphone will last between 1.89 and 2.78 years

Explanation / Answer

The 95% confidence iterval means that the true population average lies in that particular interval with a probability of 0.95 or we can say it lies in the interval with a chance of 95%.

Therefore the correct statements here would be given as:

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