Use the t-distribution to find a confidence interval for a mean μ given the relevant sample results. Give the best point estimate for μ, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed. A 99% confidence interval for μ using the sample results x¯=45.2, s=13.4, and n=10 Round your answer for the point estimate to one decimal place, and your answers for the margin of error and the confidence interval to two decimal places. point estimate = 45.2 (already answered this part correctly) margin of error = 13.77 (already answered this part correctly) The 99% confidence interval is ________to_________ (Incorrectly answers attempted: 33.67 to 56.72, 34.26 to 56.14, 34.28 to 56.11 ) Hint provided: A confidence interval for a population mean μ can be computed based on a random sample of size n using x¯±t* multiplied by s over √ n where x¯ and s are the mean and standard deviation, respectively, from the sample and t* is an endpoint chosen from a t-distribution with n-1 df to give the desired level of confidence. The t-distribution is appropriate if the distribution of the population is approximately normal or the sample size is large (n≥30).
Use the t-distribution to find a confidence interval for a mean μ given the relevant sample results. Give the best point estimate for μ, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed.
A 99% confidence interval for μ using the sample results x¯=45.2, s=13.4, and n=10
Round your answer for the point estimate to one decimal place, and your answers for the margin of error and the confidence interval to two decimal places.
point estimate = 45.2 (already answered this part correctly)
margin of error = 13.77 (already answered this part correctly)
The 99% confidence interval is ________to_________
(Incorrectly answers attempted: 33.67 to 56.72, 34.26 to 56.14, 34.28 to 56.11 )
Hint provided: A confidence interval for a population mean μ can be computed based on a random sample of size n using
x¯±t* multiplied by s over √ n
where x¯ and s are the mean and standard deviation, respectively, from the sample and t* is an endpoint chosen from a t-distribution with n-1 df to give the desired level of confidence.
The t-distribution is appropriate if the distribution of the population is approximately normal or the sample size is large (n≥30).
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