Question
A contest for free movie tickets had contestants estimate the number of gumballs in a large bowl. In reviewing the results of a random sample of guesses, a contestant regulator found the mean guess was x¯=136 gumballs, with a margin of error of 13 gumballs. Construct a confidence interval for the mean number of guesses.
Answers
Answered by
GPT 3.5
To construct a confidence interval for the mean number of guesses, we would use the formula:
CI = x¯ ± E
where CI represents the confidence interval, x¯ represents the sample mean, and E represents the margin of error.
Given that x¯ = 136 gumballs and E = 13 gumballs, we can substitute these values into the formula to find the confidence interval.
CI = 136 ± 13
This gives us the confidence interval of (123, 149).
Therefore, we can say with confidence that the mean number of guesses for the number of gumballs in the large bowl falls within the range of 123 to 149 gumballs.
CI = x¯ ± E
where CI represents the confidence interval, x¯ represents the sample mean, and E represents the margin of error.
Given that x¯ = 136 gumballs and E = 13 gumballs, we can substitute these values into the formula to find the confidence interval.
CI = 136 ± 13
This gives us the confidence interval of (123, 149).
Therefore, we can say with confidence that the mean number of guesses for the number of gumballs in the large bowl falls within the range of 123 to 149 gumballs.
There are no human answers yet. A form for humans to post answers is coming very soon!