Express the confidence interval 743.8 < μ < 794.6 in the form of ¯ x ±...

Express the confidence interval 743.8 < μ < 794.6 in the form of ¯ x ± M E . ¯ x ± M E = ±

Expert Solution

Confidence interval in terms of sample mean and margin of error E is expressed as

- E < < + E

Comparing this confidence interval with 743.8 < < 794.6 , we get,

- E = 743.8 and + E = 794.6

Adding these two equations

2 = 743.8 + 794.6

= 769.2

Put this value of in equation + E = 794.6, and solve for E

769.2 + E = 794.6

E = 25.4

E = 769.2 25.4

orchestra answered 2 years ago

Express the confidence interval 244.1 ± 127.3 244.1 ± 127.3 in interval form. Express the answer...

Express the confidence interval 244.1 ± 127.3 244.1 ± 127.3 in interval form. Express the answer in either decimal format or as percents.

A.Express the confidence interval 631<μ<714.2631<μ<714.2 in the form of ¯x±MEx¯±ME. ¯x±ME=_±__ B.You want to obtain a...

A.Express the confidence interval 631<μ<714.2631<μ<714.2 in the form of ¯x±MEx¯±ME. ¯x±ME=_____±______ B.You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=38.8σ=38.8. You would like to be 99.5% confident that your esimate is within 4 of the true population mean. How large of a sample size is required? n = Do not round mid-calculation. However, use a critical value accurate to three decimal places — this is...

Express the confidence interval 55.6%±4.1%55.6%±4.1% in interval form. Express the answer in decimal format (do not...

Express the confidence interval 55.6%±4.1%55.6%±4.1% in interval form. Express the answer in decimal format (do not enter as percents).

Question 1 Express the confidence interval 674.1±156.1 in the form of a trilinear inequality. _____ <...

Question 1 Express the confidence interval 674.1±156.1 in the form of a trilinear inequality. _____ < μ < ______ Question 2 Express the confidence interval (440.7,504.5) in the form of ¯x±ME x±ME = _____ ± _____ Question 3 For a confidence level of 85%, find the critical z value. Critical z =_____ Question 4 For a confidence level of 90%, find the critical z value. Round to at least 2 decimal places. Critical z = _____ Question 5 You measure...

1. Express the confidence interval (35%,42%) in the form of p±ME. % ± % 2. You...

1. Express the confidence interval (35%,42%) in the form of p±ME. % ± % 2. You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of x=70 hours with a standard deviation of s=4.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 98% level of confidence. What sample size should...

1.Construct the confidence interval for μ 1 − μ 2 for the level of confidence and...

1.Construct the confidence interval for μ 1 − μ 2 for the level of confidence and the data from independent samples given. 95% confidence: n 1 = 110, x - 1 = 77, s 1 = 15 n 2 = 85, x - 2 = 79, s 2 = 21 90% confidence: n 1 = 65, x - 1 = − 83, s 1 = 12 n 2 = 65, x - 2 = − 74, s 2 = 8...

2.Construct the confidence interval for μ 1 − μ 2 for the level of confidence and...

2.Construct the confidence interval for μ 1 − μ 2 for the level of confidence and the data from independent samples given. 90% confidence: n 1 = 28, x - 1 = 212, s 1 = 6 n 2 = 23, x - 2 = 198, s 2 = 5 99% confidence: n 1 = 14, x - 1 = 68, s 1 = 8 n 2 = 20, x - 2 = 43, s 2 = 3

1.Express the confidence interval (45.3%,61.9%) in the form of ˆp ± E 2.Assume that a sample...

1.Express the confidence interval (45.3%,61.9%) in the form of ˆp ± E 2.Assume that a sample is used to estimate a population proportion p. Find the 80% confidence interval for a sample of size 260 with 24% successes. Enter your answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places. 3.Out of 400 people sampled, 240 preferred Candidate A. Based on this, estimate what proportion of the entire voting population (p) prefers Candidate A. Use a...

Construct the confidence interval for the population mean μ. c = 0.98, x = 9.3, s...

Construct the confidence interval for the population mean μ. c = 0.98, x = 9.3, s = 0.5, and n = 50 A 98% confidence interval for μ is ( ____ , ____ ).

Construct the confidence interval for the population mean μ. c = 0.90, x = 15.5, s...

Construct the confidence interval for the population mean μ. c = 0.90, x = 15.5, s = 2.0, and n = 65 A 90% confidence interval for μ is ( ____ , ____ ).

Question