latFind the minimum sample size n necessary to estimate a population proportion p with a 95% confidence intervalthat has a margin of error m = 0.02. Assume that you don't have any idea what p is so that you use the simpler formula forn (which comes from taking the more complicated formula for n and substituting p* = 0.5 into it).

The question is about sample size estimation.Given :Confidence level ( C ) = 0.95Margin of error ( E…

Answered: at Find the minimum sample size n…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A population is distributed with a known standard deviation, σ = 18 units. A random sample of size 35 is obtained from this population. The mean of this sample is 70. True or False: Since the sample size is greater than 25 the distribution of sample means from this population should be approximately normally distributed. What is the lower limit of the 95% confidence interval for the population mean μ? (2 dp) What is the upper limit of the 95% confidence interval for the population mean μ? (2 dp). Based on your confidence interval, would you believe that the true mean of this population could be 75?
An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 7 IQ points of the true mean. Assume that o = 18 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.)
A 100(1 - α)% confidence interval for the mean μ of a normal population when the value of σ is known is given by (x-²a/2" Six+ .za/2 VM). By how much must the sample size n be increased if the width of the CI above is to be halved? Halving the length requires n to be increased by a factor of If the sample size is increased by a factor of 16, what effect will this have on the width of the interval? Increasing the sample size by a factor of 16 will ---Select-- the length by a factor of ---Select-- increase Need Help? Read It decrease
Assume that you have a sample of n₁ = 7, with the sample mean X₁ = 45, and a sample standard deviation of S₁ = 5, and you have an independent sample of n₂ = 13 from another population with a sample mean of X₂ = 30, and the sample standard deviation S₂ = 8. Construct a 90% confidence interval estimate of the population mean difference between μ, and μ₂. Assume that the two population variances are equal. ³H1-H₂ ³ (Round to two decimal places as needed.) C
The width of the confidence interval estimate of the population mean μ is a function of only two quantities: the population standard deviation σ and the sample size n
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=12.3. Assume the population is normally distributed.
# E DII C A previous study gave (0.11, 0.23) as a confidence interval for p. Find the minimum sample size required to ensure that your estimate (p) will be within 0.01 of p with 99% confidence. IMPORTANT: Use a critical value that you found with your calculator (not from a table), and round it to 3 places after the decimal point before you plug it into a formula and perform your calculations. Do not round-off any other intermediate results. n = F3 Submit Question $ 4 R F F4 V % 5 T J G F5 6 B Y H F6 & 7 X U N F7 - * PrtScn 8 F8 M K Home 9 F9 O End L F10 P Pg Alt
Please answer this question for me because i do not understand how to work it.
Only about 15% of all people can wiggle their ears. Is this percent different for millionaires? Of the 398 millionaires surveyed, 40 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer > < ≠ = (please enter a decimal) H1:H1: ? μ p Select an answer < = ≠ > (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer fail to reject accept reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 15% at αα = 0.05, so there is statistically insignificant evidence to conclude that the…
- Construct the 99% confidence interval for the difference μ₁ −μ₂ when x₁=476.88, x₂=318.32, s₁=42.11, s₂=26.80, n₁=19, and n₂=22. Use tables to find the critical value and round the answers to at least two decimal places. A 99% confidence interval for the difference in the population means is
A sample of n = 7 scores is selected from a population with an unknown mean ( µ). The sample has a mean of M = 40 and a variance of s 2 = 63. Which of the following is the correct 95% confidence interval for µ?
(b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 95% confidence interval for μ1 − μ2. (Round your answers to two decimal places.) lower limit % upper limit %

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