Question

In: Civil Engineering

For a normal population with known variance s2, answer the following questions: (a) What is the...

  1. For a normal population with known variance s2, answer the following questions:

(a) What is the confidence level for the interval: ?− 1.85?/√?≤ ?≤ ?+ 1.85?/√??

(b) What is the confidence level for the interval: ?≤ ?+ 1.4?/√?

Solutions

Expert Solution

From this table i have take the value of phi (probability ) from the value of t ..


Related Solutions

For a normal population with known variance σ2, answer the following questions: d. What is the...
For a normal population with known variance σ2, answer the following questions: d. What is the confidence level for the interval μ ≤ x+ 2.00σ∕ √ n? e. What is the confidence level for the interval x−1.96σ∕ √ n ≤ μ?
For a normal population with known variance (sigma)^2, what is the confidence level for the CI...
For a normal population with known variance (sigma)^2, what is the confidence level for the CI (mean)-2.14(sigma)/√n≤μ≤(mean)+2.14(sigma)/√n ?
For a normal population with known variance σ2, what value of zα/2 in the Equation below...
For a normal population with known variance σ2, what value of zα/2 in the Equation below gives a 98% CI?             x-zα/2σn≤μ≤x+zα/2σn
Answer the following questions with clear explanation. a. Explain intuitively what does population mean and variance...
Answer the following questions with clear explanation. a. Explain intuitively what does population mean and variance tells you about the distribution of a random variable? b. Can you think of a reason why do we mostly only care about mean and variance a random variable since the distribution function could involve more than the two parameters? c. Explain why we could use a sample data to draw conclusions about a population parameter? d. Is p-value of a hypothesis test a...
(Topic: Confidence Interval Estimation for the Mean of a Normal Distribution: Population Variance Known) The number...
(Topic: Confidence Interval Estimation for the Mean of a Normal Distribution: Population Variance Known) The number of bolts produced each hour from a particular machine is normally distributed with a standard deviation of 7.4. For a random sample of 15 hours, the average number of bolts produced was 587.3. Find the upper and lower confidence limits of a 98% confidence interval for the population mean number of bolts produced per hour. Find the answer by hand calculation. Find the answer...
Question: Consider a normal distribution with mean m and variance s2. Assume we know that s2...
Question: Consider a normal distribution with mean m and variance s2. Assume we know that s2 = 4 and suspect that m 6= 3. Assume further that we have independently drawn 100 values from the distribution and have obtained a sample mean of 5. (a) Explain the notion of a sampling distribution and state the central limit theorem. (b) Approximately, what is the sampling distribution in the above situation? Assume now that we want to conduct a hypothesis test concerning...
Assume a normal population with known variance σ2, a random sample (n< 30) is selected. Let...
Assume a normal population with known variance σ2, a random sample (n< 30) is selected. Let x¯,s represent the sample mean and sample deviation. (1)(2pts) write down the formula: 98% one-sided confidence interval with upper bound for the population mean. (2)(6pts) show how to derive the confidence interval formula in (1).
A random sample n=30 is obtained from a population with unknown variance. The sample variance s2...
A random sample n=30 is obtained from a population with unknown variance. The sample variance s2 = 100 and the sample mean is computed to be 75. Test the hypothesis at α = 0.05 that the population mean equals 80 against the alternative that it is less than 80. The null hypothesis Ho: µ = 80 versus the alternative H1: Ho: µ < 80. Calculate the test statistic from your sample mean. Then calculate the p-value for this test using...
Suppose we take a random sample X1,…,X6 from a normal population with a known variance σ21=4...
Suppose we take a random sample X1,…,X6 from a normal population with a known variance σ21=4 and unknown mean μ1. We also collect an independent random sample Y1,…,Y5 from another normal population with a known variance σ22=1 and unknown mean μ2. We use these samples to test the hypotheses H0:μ1=μ2 vs. H1:μ1>μ2 with a critical region of the form {X¯−Y¯>k} for some constant k. Here Y¯ denotes the average of Yis just like X¯ denotes the average of Xis. (1)...
Consider a normal population distribution with the value of o known. (a) What is the confidence...
Consider a normal population distribution with the value of \(\sigma\) known.(a) What is the confidence level for the interval \(\bar{x} \pm 2.88 \sigma / \sqrt{n} ?\) (Round your answer to one decimal place.)\(\%\)(b) What is the confidence level for the interval \(\bar{x} \pm 1.47 \sigma / \sqrt{n} ?\) (Round your answer to one decimal place.) \(\%\)(c) What value of \(z_{\alpha / 2}\) in the CI formula below results in a confidence level of \(99.7 \% ?\) (Round your answer to...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT