**Determining Minimum Sample Size for Confidence Interval**To determine the minimum sample size required when you want to be 95% confident that the sample mean is within one unit of the population mean with a population standard deviation (\(\sigma\)) of 10.4, assume the population is normally distributed.- **Confidence Level:** 95%- **Margin of Error (E):** 1 unit- **Standard Deviation (\(\sigma\)):** 10.4**Calculation Required:**A 95% confidence level requires a sample size of [ ].*Instructions:* Round up to the nearest whole number as needed.This problem involves calculating the sample size necessary to ensure that the sample mean will likely fall within a specified range around the population mean.

Since we know population standard deviation, use z-distribution to find z-critical value. Find…

Determine the minimum sample size required when you want to be 95% confident that the sample mean is within one unit of the population mean and o = 10.4. Assume the population is normally distributed. A 95% confidence level requires a sample size of. (Round up to the nearest whole number as needed.)

Determine the minimum sample size required when you want to be 95% confident that the sample mean is within one unit of the population mean and o = 10.4. Assume the population is normally distributed. A 95% confidence level requires a sample size of. (Round up to the nearest whole number as needed.)

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

Construct a confidence interval for ud, the mean of the differences d for the population of paired data. Assume that the population of paired differences is normally distributed. If d = 3.125, Sd = 2.911, and n = 8, determine a 95 percent confidence interval for ud. 0.691 Hd <3.986 O 2.264 < d < 3.986 O 2.264 < d < 5.559 O 0.691 < d < 5.559
Refer to the accompanying data set and construct a 95%confidence interval estimate of the mean pulse rate of adult females; then do the same for adult males. Compare the results. . 1. Construct a 95%confidence interval of the mean pulse rate for adult females. ____ bpm<μ<____ bpm (Round to one decimal place as needed.) 2. Construct a 95% confidence interval of the mean pulse rate for adult males. _____ bpm<μ<____ bpm (Round to one decimal place as needed.)
Determine the minimum sample size required when you want to be 99% confident that the sample mean is within one unit of the population mean and σ=19.5. Assume the population is normally distributed. Question content area bottom Part 1 A 99% confidence level requires a sample size of enter your response here . (Round up to the nearest whole number as needed.)
In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.04 margin of error and use a confidence level of 90%. Complete parts (a) through (c) below. a. Assume that nothing is known about the percentage to be estimated. C n: (Round up to the nearest integer.) b. Assume prior studies have shown that about 40% of full-time students earn bachelor's degrees in four years or less. (Round up to the nearest integer.) c. Does the added knowledge in part (b) have much of an effect on the sample size? O A. No, using the additional survey information from part (b) only slightly reduces the sample size. O B. Yes, using the additional survey information from part (b) dramatically reduces the sample size. O C. Yes, using the additional survey information from part (b) only slightly increases the sample…
Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample. A 99% confidence interval for the proportion of the population in Category A given that 21% of a sample of 450 are in Category A. Round your answer for the point estimate to two decimal places, and your answers for the margin of error and the confidence interval to three decimal places. Point estimate = Margin of error = + i The 99% confidence interval is i to i
A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) below. x=35, n=27, σ=5 confidence level=90% a. Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn. The confidence interval is from _______ to _________. (Type integers or decimals rounded to one decimal place as needed.) b. Obtain the margin of error by taking half the length of the confidence interval. What is the length of the confidence interval? ____________ (Type an integer or decimal rounded to one decimal place as needed.) c. Obtain the margin of error by using the formula E=zα2•σn. Identify the critical value. zα2=____________ (Type an integer or decimal rounded to two decimal places as needed.) What is the margin of error obtained using the methods of parts (b) and(c)? _________ (Type an integer or decimal…
PLEASE SHOW WORK.
With 99% confidence, maximum error is 0.06 and the proportion p = 0.5. Find the sample size. a. 463 b. 436 c. 364 d. 643 e. NONE OF THE ABOVE A
Need help of the Find the Confidence Interval section
Can you fill out the blanks.
possible In a random sample of twelve people, the mean driving distance to work was 18.9 miles and the standard deviation was 6.3 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 95% confidence interval for the population mean. (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. It can be said that % of the population has a driving distance to work (in miles) that is hetween the interval's endpoints li
Determine whether the following statements are True or False: If we increase the confidence level C, then the width of the CI decreases, i.e., the CI becomes narrower. (Hint: think about what happens to the margin of error m) Suppose the mean of a population µ = 100. If we found that the margin of error is m = 2 for level of confidence 98%, then we can be 98% confident that a sample mean (computed from a sample of the same size used to compute m) is in the interval (98, 102).