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Consider a normal population distribution with the value of a known. (a) What is the confidence...
Consider a normal population distribution with the value of o known. (a) What is the confidence level for the interval x 2.810/ n? (Round your answer to one decimal place.) % (b) What is the confidence level for the interval + 1.450/ n? (Round your answer to one decimal place.) % (c) What value of zul in the CI formula below results in a confidence level of 99.7%? (Round your answer to two decimal places.) (8–2012. o. X + 22...
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...
PLEASE SHOW ALL THE WORKING
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...
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/
2. When drawing a random sample from a normal population with known variance o?, we have the equation for 100(1 – a)% confidence interval for the population mean as ī+ 2a/20/Vn (a) What value of Za/2 gives 95% confidence? (b) What value of Za/2 gives 98% confidence? (c) What value of 20/2 gives 80% confidence?
Consider the usual confidence interval for the mean of a normal population with known variance. What is the relationship between confidence and precision as measured by interval width? A. For a fixed sample size, decreasing the confidence level has no effect on the precision B. For a fixed sample size, decreasing the confidence level decreases the precision C. For a fixed sample size, decreasing the confidence level increases the precision D. None of the above
You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 15. Find the critical value that corresponds to a confidence level of 98%. (Report answer accurate to three decimal places with appropriate rounding.) ta/2 = ± _________
You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 53. Find the critical value that corresponds to a confidence level of 99.5%. (Report answer accurate to three decimal places with appropriate rounding.) ta/2 = ±
You intend to estimate a population proportion with a confidence interval. The data suggests that the normal distribution is a reasonable approximation for the binomial distribution in this case. While it is an uncommon confidence level, find the critical value that corresponds to a confidence level of 91.9%. (Report answer accurate to three decimal places with appropriate rounding.) 23/2