95% CI
Given | |
X bar | 65 |
S | 28 |
n | 49 |
α = 0.05
CI | ||
Zc | 1.959964 | +/- NORM.S.INV(α/2) |
Upper | 72.83986 | X bar + Zc*(S/SQRT(n)) |
Lower | 57.16014 | X bar - Zc*(S/SQRT(n)) |
We are 95% confident that population mean contained by this interval (57.16, 72.84)
7. A researcher collected data from a normally distributed population with o-28 and an unknown population...
simple random sample of size n is drawn from a population that is normally distributed. The sample mean, X. is found to be 111, and the sample standard deviation is found to be 10. a) Construct a 95% confidence interval about if the sample size, n, is 28. b) Construct a 95% confidence interval about if the sample size, n, is 11 c) Construct a 90% confidence interval about if the sample size, n, is 28 ) Could we have...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about mu if the sample size, n, is 25. (b) Construct a 95% confidence interval about mu if the sample size, n, is 12. (c) Construct a 70% confidence interval about mu if the sample size, n,...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̅, is found to be 107 , and the sample standard deviation, s, is found to be 10 .(a) Construct a 98 % confidence interval about μ if the sample size, n, is 22 .(b) Construct a 98 % confidence interval about μ if the sample size, n, is 12 .(c) Construct a 95 % confidence interval about μ if the...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar x, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about mu μ if the sample size, n, is 12. (b) Construct a 95% confidence interval about mu μ if the sample size, n, is 23. (c) Construct a a 96 96% confidence...
A simple random sample of sirenie drewn from a population that is normally distributed. The sample mean, is found to be 105, and the sample standard deviations, is found to be 10 (a) Construct a 95% confidence interval about if the sample size, n, is 15. (b) Construct a 95% confidence interval about the sample sens 29 (c) Construct a confidence interval about the samples , n, is 15. (d) Could we have computed the confidence intervals in parts (a)(0)...
Assuming that the population is normally distributed, construct a 95 % confidence interval for the population mean, based on the following sample size of n=8. 1, 2, 3, 4, 5, 6, 7 , and 19 In the given data, replace the value 19 with 8 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval, in general. Find a 95% confidence interval for the population mean, using...
A simple random sample of size nis drawn from a population that is normally distributed the sample mean is found to be 113, and the sample standard deviations, is found to be 10 (a) Construct a 95% confidence interval about if the sample size is 22 (b) Construct a 95% confidence interval about the sample on 26 (c) Construct a 90% confidence interval about the sample size is 22 (d) Could we have computed the confidence intervals in parts(a-c) if...
A simple random sample of size n=20 is drawn from a population that is normally distributed with o = 11. The sample mean is found to be x = 59. Construct a 95% confidence interval about the population mean. The 95% confidence interval is . (Use ascending order. Round to two decimal places as needed.)
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̅, is found to be 109 , and the sample standard deviation, 5 , is found to be 12 .(a) Construct a 96 % confidence interval about μ if the sample size, n, is 23 .(b) Construct a 96 % confidence interval about μ if the sample size, n, is 16 .(c) Construct a 90 % confidence interval about μ if...
A simple random sample of size nis drawn from a population that is normally distributed. The sample mean, X, is found to be 106, and the sample standard deviations, is found to be 9. (a) Construct a 95% confidence interval about if the sample size, n, is 26 (b) Construct a 95% confidence interval about if the sample size, n, is 13 (c) Construct a 90% confidence interval about if the sample size, n, is 26 (d) Should the confidence...