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¯=93.5,
s=34.3, and n=15
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.
ME:
99% CI
Solution :
Given that,
Point estimate = sample mean = = 93.5
sample standard deviation = s = 34.3
sample size = n = 15
Degrees of freedom = df = n - 1 = 15 - 1 = 14
At 99% confidence level the t is ,
= 1 - 99% = 1 - 0.99 = 0.01
/ 2 = 0.01 / 2 = 0.005
t /2,df = t0.005,14 = 2.977
Margin of error = E = t/2,df * (s /n)
= 2.977 * (34.3 / 15)
= 26.36
The 99% confidence interval estimate of the population mean is,
- E < < + E
93.5 - 26.36 < < 93.5 + 26.36
67.14 < < 119.86
A 99% confidence interval for μ is : (67.14 , 119.8)
Use the t-distribution to find a confidence interval for a mean μ given the relevant sample...
Chapter 6, Section 2-CI, Exercise 084 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 90% confidence interval for using the sample results x̄ = 128.6, s = 49.5, and n = 50.
Use the t-distribution to find a confidence interval for a mean given the relevant sample results. Give the best point estimate for 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 90% confidence interval for using the sample results T = 2.9.5 = 0.3, and n = 100 Round your answer for the point estimate to one decimal place, and your answers for the...
Use the t-distribution to find a confidence interval for a mean u given the relevant sample results. Give the best point estimate for u, 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 95% confidence interval for u using the sample results I = 10.5,5 = 6.9, and n = 30 Round your answer for the point estimate to one decimal place, and your...
please help! Chapter 6, Section 2-CI, Exercise 086 Use the t-distribution to find a confidence interval for a mean y given the relevant sample results. Give the best point estimate for y, the margin of error, and the confidence interval. Assume the results come from random sample from a population that is approximately normally distributed. A 99% confidence interval for u using the sample results I = 85.9, s = 30.0, and n = 15 Round your answer for the...
Use the t-distribution to find a confidence interval for a difference in means μ 1 - μ 2 given the relevant sample results. Give the best estimate for μ 1 - μ 2 , the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed. A 90% confidence interval for μ 1 - μ 2 using the sample results x ¯ 1 = 10.0 , s 1 = 2.2...
Use the t-distribution to find a confidence interval for a difference in means μ 1 - μ 2 given the relevant sample results. Give the best estimate for μ 1 - μ 2, the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed. A 90% confidence interval for μ 1 - μ 2 using the sample results x ¯ 1 = 5.5 , s 1 = 2.3 ,...
Use the t-distribution to find a confidence interval for a difference in means μ 1 - μ 2 given the relevant sample results. Give the best estimate for μ 1 - μ 2 , the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed. A 90% confidence interval for μ 1 - μ 2 using the sample results x ¯ 1 = 10.0 , s 1 = 2.2...
Use the t-distribution to find a confidence interval for a difference in means μ 1 - μ 2 given the relevant sample results. Give the best estimate for μ 1 - μ 2 , the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed. A 90% confidence interval for μ 1 - μ 2 using the sample results x ¯ 1 = 5.5 , s 1 = 2.3...
Use the t-distribution to find a confidence interval for a difference in means μ 1 - μ 2 given the relevant sample results. Give the best estimate for μ 1 - μ 2, the margin of error, and the confidence interval. Assume the results come from random samples from populations that are approximately normally distributed. A 95% confidence interval for μ 1 - μ 2 using the sample results x ¯ 1 = 533 , s 1 = 137 ,...
Question 11 View Policies Current Attempt in Progress Use the t-distribution to find a confidence interval for a mean given the relevant sample results. Give the best point estimate for 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 90% confidence interval for using the sample results T = 3.2.5 = 0.2, and n = 100 Round your answer for the point estimate to...