1. For the data sets following summaries from a sample from N(u, o²),(а) п %— 30, г — 22.5 and s — 3.4(b) п 3 25, т22.5 and s =3.4Construct a 90%, 95% and 99% confidence intervals forand o

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Answered: 1. For the data sets following…

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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Suppose we have three independent groups: X1, X2 and X3, and the population standard deviations are known as σ1 = σ2 = σ3 = 10. For each group, we observe 50 samples, and x ̄1 = 200, x ̄2 = 190, and x ̄3 = 210. Construct a 90% confidence interval for μ1 + μ2 + μ3.
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 111,and the sample standard deviation, s, is found to be 11. (a) Construct a 95% confidence interval about μ if the sample size, n, is 21. (b) Construct a 95% confidence interval about μ if the sample size, n, is 12. (c) Construct a 90% confidence interval about μ if the sample size, n, is 21. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed?
Suppose that a random sample of size 1 is to be taken from a finite population of size N. a. How many possible samples are there?b. Identify the relationship between the possible sample means and the possible observations of the variable under consideration.c. What is the difference between taking a random sample of size 1 from a population and selecting a member at random from the population?
Suppose we wanted to construct a 90% confidence interval for a population mean based uponn = 17 randomly selected observations. Use the table to determine the appropriate value of t* to use in this case. What are the degrees of freedom and the value of t*? degrees of freedom = 16 and t* = 1.337 degrees of freedom = 16 and t* = 1.746 degrees of freedom = 17 and t* = 1.333 degrees of freedom = 17 and t* = 1.740
Suppose a 95% confidence interval for a correlation is 0.32 to 0.48. Label each of the following values for ρ as either P, plausible, or NP, not plausible.(a) ρ = 0.44 (b) ρ = 0.30 (c) ρ = −0.36
a)In a random sample of 31 professional actors, it was found that 24 were extroverts. Find a 98% confidence interval for p. (0.647, 0.902) (0.063, 0.9490 (0.599, 0.949) (0.647, 1.485) b) In a random sample of 88 professional actors, it was found that 20 were extroverts. Let p represent the proportion of all actors who are extroverts. Find a point estimate for e. 0.773 c. 20 b. 0.227 a. 68 d. 0.114 (0.600, 1.485)
If one sample with a mean of M = 10 is combined with a second sample with a mean of M = 20, then the mean for the combined sample will be between 10 and 20. True False
A simple random sample of heights of 6400Englishmen has a mean of 67.85 inches and SD 2.56 inches, while a simple random sample of heights of 1600 Australians has a mean of 68.55 inches and SD of 2.52 inches. D the data indicate that Australians are, on the average, taller than Englishmen?
A scientist computes a 90% confidence interval to be (4.38, 6.02). Using the same data, she also computes a 95% confidence interval to be (4.22, 6.18), and a 99% confidence interval to be (3.91, 6.49). Now she wants to test H0: μ = 4 versus H1: μ ≠ 4. Regarding the P-value, which one of the following statements is true? a) P > 0.10 b) 0.05 < P < 0.10 c) 0.01 < P < 0.05 d) P < 0.01
1. One sample has n = 18 with SS = 102 and M = 12. A second sample has n = 5 with SS = 171 and M = 8. Which of the following is the 95% confidence interval for the mean difference in confidence between the two samples? a. 5 ± 3.7856 b. 4 ± 6.0956 c. 5 ± 6.0956 d. 4 ± 3.7856
Given a population with a mean 176 and standard deviation, σ. (Case A) Repeatedly take samples of size 28 from this population and in each case compute the sample mean, . Let x-bar(A)and sigma(A) be respectively the mean and the standard deviation of these sample means. (Case B) Repeatedly take sample of size 64 from this population and in each case compute the sample mean, . Let x-bar(B) and sigma(B) be respectively the mean and the standard deviation of these sample means. If the population standard deviation, σ, is 32, then 95% of the sample means in case B what are the two intervals?
If a 90% confidence interval for the mean is (75.3 to 80.9), we would reject H0:  =70 in favor of H1:  ≠ 70 at  = 0.05.

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1. For the data sets following summaries from a sample from N(µ, o²), (a) n= 30, ¤ = 22.5 and s = 3.4 (b) n= 25, ¤ = 22.5 and s = 3.4 Construct a 90%, 95% and 99% confidence intervals for u and o