The mean number of sit-ups performed in one minute for a random sample of 35 men
ID: 3318278 • Letter: T
Question
The mean number of sit-ups performed in one minute for a random sample of 35 men is 26.2 sit-ups. The population standard deviation is 5.4 sit-ups. Find and interpret the 95% confidence interval for the mean number of sit-ups of all men performed in one minute.
(a) I am 95% confident that the mean number of sit-ups performed in one minute is between 24.35 sit-ups and 28.05 sit-ups.
(b) I am 95% confident that the mean number of sit-ups performed in one minute is between 24.41 sit-ups and 27.99 sit-ups.
(c) I am 95% confident that the sample mean number of sit-ups performed in one minute is between 24.41 sit-ups and 27.99 sit-ups.
(d) I am 95% confident that the sample mean number of sit-ups performed in one minute is between 24.35 sit-ups and 28.05 sit-ups.
Please answer clearly
Explanation / Answer
The statistical software output for this problem is:
One sample Z summary confidence interval:
: Mean of population
Standard deviation = 5.4
95% confidence interval results:
Hence,
I am 95% confident that the mean number of sit-ups performed in one minute is between 24.41 sit-ups and 27.99 sit-ups.
Option B is correct.
Mean n Sample Mean Std. Err. L. Limit U. Limit 35 26.2 0.9127666 24.41101 27.98899Related Questions
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