A population is normal with known standard deviation σ. What is the confidence level corresponding to this confidence interval for μ? Confidence interval: Xbar - σ/√n < Xbar < Xbar + σ/√n
Confidence interval: Xbar - z*σ/√n < Xbar < Xbar +z* σ/√n
where z is corresponding critical value for given significance level
if population standard deviation is known then we can use above formula to calculate confidence interval for population mean.
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A population is normal with known standard deviation σ. What is the confidence level corresponding to...
3. For a normal population with known variance σ, answer the following questions: (a) What is the confidence level for the interval: R-1.85o/ym μ + 1.85o/vn? (b) What is the confidence level for the interval: μ R + 1.4o/
We have sampled n observations from a normal distribution with known standard deviation σ, and constructed a 95% confidence interval for μ. If the confidence level is changed to 99%, which of the following choices is correct? Group of answer choices The confidence interval will become wider. The confidence interval will become narrower. The confidence interval will stay the same. In a particular case, any of these choices may be correct.
Consider a normal population distribution with the value of σ known. (a) What is the confidence level for the interval x ± 2.88σ/sqrt(n) ? (Round your answer to one decimal place.) ___________% (b) What is the confidence level for the interval x ± 1.42σ/sqrt(n) ? (Round your answer to one decimal place.) ___________% (c) What value of zα/2 in the CI formula below results in a confidence level of 99.7%? (Round your answer to two decimal places.) ( x −...
Consider a normal population distribution with the value of known. a) What is the confidence level for the interval (i) x 1.96 n (ii) x 2.65 n (iii) x 3.34 n b) What value of z in the confidence interval formula x z n x z n 2 2 , results in a confidence level of (i) 97.96% (ii) 78.88% (iii) 99.94% c) Would a 90% C.I. be narrower...
A simple random sample of size 64 is drawn from a normal population with a known standard deviation σ. The 95% confidence interval for the population mean μ is found to be (12, 16). The approximate population standard deviation σ is:
A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) below. x overbarx equals=25, n equals=38, sigma σ equals=4 confidence level equals=95% Click here to view page 1 of the standard normal distribution table. LOADING... Click here to view page 2 of the standard normal distribution table. LOADING... . Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the...
2. Consider a large population with mean μ and known standard deviation σ = 5. There are two independent simple random samples of this population, one with n 150, and the other with n2 = 400, Denote the two sample means by , and X2, respectively. Let Cli and C12 be the usual 95% confidence intervals, constructed from each of the two samples. What is the probability that at the same time, X E CI2 and X2 E CI? 2....
In constructing a 90% confidence level estimate of the mean when the population standard deviation (σ) is known what will be your z score used in the formula? HINT: Be sure to review page 236 "Finding Z scores from Known Areas - Special Cases" and Tabel A-2. If you identified it as 1.64 contact me in the DB and I will provide partial credit. Please see my lecture "CIE of the mean z and t examples 2015" as to an...
In constructing a 90% confidence level estimate of the mean when the population standard deviation (σ) is known what will be your z score used in the formula? HINT: Be sure to review page 236 "Finding Z scores from Known Areas - Special Cases" and Tabel A-2. If you identified it as 1.64 contact me in the DB and I will provide partial credit. Please see my lecture "CIE of the mean z and t examples 2015" as to an...
6. A sample of size n- 200 has a known population standard deviation of 15.0. The population appears to be skewed. Determine whether a margin of error should be calculated using a critical value of za, a critical value of ta/2, or neither. Oa critical value of ta2 O a critical value of za O neither 7. The mean of a sample size n 35 is 1860. The standard deviation of the sample is 102 and the population is normally...