Assuming a random sample of N=12 values taken from a normally distributed population with unknown parameters have the following sample values; 2 9 8 6 9 5 6 4 7 4 9 and 3. Use the sample information to construct a 95% Confidence Interval estimate for the population mean. [Assume the t-critical value at 5% with df of 11 is 2.201

Assuming a random sample of N=12 values taken from a normally distributed population with unknown parameters have the following sample values; 2 9 8 6 9 5 6 4 7 4 9 and 3. Use the sample information to construct a 95% Confidence Interval estimate for the population mean. [Assume the t-critical value at 5% with df of 11 is 2.201

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 51 women in rural Quebec gave a sample variance s2 = 3.2. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence interval for the population variance. (a) What is the level of significance? State the null and alternate hypotheses. Ho: σ2 = 5.1; H1: σ2 > 5.1Ho: σ2 < 5.1; H1: σ2 = 5.1 Ho: σ2 = 5.1; H1: σ2 < 5.1Ho: σ2 = 5.1; H1: σ2 ≠ 5.1 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? We assume a uniform population distribution.We assume a normal population distribution. We assume a binomial population distribution.We assume a exponential…
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n=218, x=28.6 hg, s=6.6 hg. The confidence level is 99%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. tα/2=enter your response here (Round to two decimal places as needed.) B. zα/2=enter your response here (Round to two decimal places as needed.) C. Neither the normal distribution nor the t distribution applies.
In a random sample of size 11 from normally distributed population, obtain 99% confidence limits for standard deviation σ if the sample variance s2=28
A sample of size n = 36 is drawn from a population whose standard deviation is σ = 15.6. The sample mean is x = 94.5. Construct a 95% confidence interval.
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n=167, x=28.2 hg, s=6.2 hg. The confidence level is 95%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. tα/2= nothing (Round to two decimal places as needed.) B. zα/2= nothing (Round to two decimal places as needed.) C. Neither the normal distribution nor the t distribution applies.
Suppose that Y is a normally distributed random variable. Assuming that the data is randomly sampled, use the following information to determine the sample variance. Show your work. Use three decimal places. • The sample size is 1225 • The upper limit of a 90 percent confidence interval for E [Y ] is 1.194 • The lower limit of a 90 percent confidence interval for E [Y ] is 1.006.
A sample of 80 University night school students' ages was obtained in order to estimate the mean age of all night school students. The sample mean was 25.1 years, with a sample variance of 16.2. a. Give the point estimate for µ, the population mean, along with the margin of error. b. Calculate the 99% confidence interval for µ.
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n=236, x=31.6 hg, s=6.9 hg. The confidence level is 90%.
Given two independent random samples with the following results: n1=12x‾1=73s1=27n1=12x‾1=73s1=27 n2=12x‾2=102s2=22n2=12x‾2=102s2=22 Use this data to find the 95%95% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval.
The minimum sample size needed to estimate a population mean within 2 units with a 95% confidence when the population standard deviation equals 8 is A. 62 OB. 9 C. 8 O D. 61 A random sample of 64 observations has a mean of 30. The population variance is assumed to be 9. The 85.3% confidence interval estimate for the population mean (to the third decimal place) is O A. (28.369, 31.631) O B. (29.383, 30.617) O C. (29.456, 30.544) O D. (28.560, 31.440)
X. is found to be 19.1, and the A simple random sample of sizen is drawn from a population that is normally distributed. The sample mean, sample standard deviation, s, is found to be 4.9. (a) Construct a 96% confidence interval about u if the sample size, n, is 39. (b) Construct a 96% confidence interval about u if the sample size, n, is 68. How does increasing the sample size affect the margin of error, E? (c) Construct a 98% confidence interval about u if the sample size, n, is 39. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 14, what conditions must be satisfied to compute the confidence interval? (a) Construct a 96% confidence interval about u if the sample size, n, is 39. Lower bound: Upper bound: (Round to two decimal places as needed.) (b) Construct a 96% confidence interval about u if the sample size, n, is 68. Lower bound: ; Upper bound: (Round to two decimal places as needed.) How does increasing the sample…
Given two independent random samples with the following results: n1=10x‾1=89s1=19�1=10�‾1=89�1=19 n2=17x‾2=128s2=28�2=17�‾2=128�2=28 Use this data to find the 90%90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Copy Data Step 1 of 3 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.