The minimum sample sizeneeded to construct a 95%confidence interval for u, witherror not exceeding 3. if thesample is to be drawn from anormal population withvariance 256 isa. 109b. 167C. 14d. 110e. 168

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Answered: The minimum sample size needed to…

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 random sample of size 15 is taken from a normally distributed population with a sample mean of 75 and a sample variance of 25. The upper limit of a 95% confidence interval for the population mean is equal to: O a. 79.27 O b. 77.530 O c. 72.231 O d. 74.727
It may be assumed that the time patients spend waiting to consult a doctor in a polyclinic is normally distributed. A random sample of 5 observations give the following sample statistics: sample mean - 30 minutes and sample variance = 86. Suppose the population variance is unknown, what is a 95% confidence interval of the population mean μ? O 18.40 μs 32.97 O 18.49 sus 41.51 O 19.55 sus 37.10 O 17.13 μ ≤ 42.87
The following statistics are computed by sampling from three normal populations whose variances are equal: (You may find it useful to reference the table and the gtable.) X1 = 30.7, n₁ = 7; X2 = 36.9, n₂ = 8; X3 = 42.9, n3 = 4; MSE = 29.0 a. Calculate 95% confidence intervals for 1 - W2, H1 - H3, and 42 - 3 to test for mean differences with Fisher's LSD approach. (Negative values should be indicated by a minus sign. Round final answers to 2 decimal points.) Population Mean Differences H₁-H₂ H₁ H3 H2 H3 Confidence Interval -12.06 -9.01 Can we conclude that the population means differ? Yes Yes No
7. On paper. A precision instrument is guaranteed to read accurately to within 2 units. Asample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355.1. Test the null hypothesis that σ = 0.7 against the alternative σ > 0.7. Use α = 0.05. 2. Find a 90% confidence interval for the population variance.
For a population data set sigma = 12.7 How large a sample should be selected so that the margin of error of estimate for a 96 confidence interval for u is 3.20?
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.
For a population dataset with variance o2=24.60- How large a sample should be for a margin of error for a 95% confidence interval of u to 3.20? O A. 160 O B. 7 C. 227 D. 10
4. The resilient moduli of 10 samples of a clay mixture are measured and the sample mean is x = 19.50. If an experimenter wishes to use a "known" value o = 1.0 for the standard deviation of the resilient modulus measurements based upon prior experience, construct appropriate 90%, 95%, and 99% two-sided confidence intervals for the average resilient modulus µ. Compare the lengths of the confidence intervals. Do you think it is plausible that the average resilient modulus is equal to 20.0?
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.
b )part?
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?

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The minimum sample size needed to construct a 95% confidence interval for u, with error not exceeding 3. if the sample is to be drawn from a normal population with variance 256 is a. 109 b. 167 С. 14 d. 110 Oe. 168