Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.2, Problem 6AYU
To determine
To find: The critical values
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If a =0.05 and df=26
for a left-tailed test,
what is the critical value of x??
A.
Xổ 05 = 38.885
Xổ.05
В.
15.379
C.
Xã.95 = 38.885
2
D.
Xá.95 = 15.379
Find the critical value of t a/2 that corresponds to a degree of confidence of 90% and a sample size of 8.
Suppose that X1,..., X, is a random sample from a normal
distribution with mean u and variance o?. Two unbiased estimators of o? are
ởf = s° = E(x, - Xy°, and ô = (X1 - 2
Find the efficiency of ở relative to ôž.
Chapter B.2 Solutions
Fundamentals of Statistics (5th Edition)
Ch. B.2 - True or False: The chi-square distribution is...Ch. B.2 - Prob. 2AYUCh. B.2 - Prob. 3AYUCh. B.2 - Prob. 4AYUCh. B.2 - Prob. 5AYUCh. B.2 - Prob. 6AYUCh. B.2 - In Problems 58, find the critical values 1/22 and...Ch. B.2 - Prob. 8AYUCh. B.2 - Prob. 9AYUCh. B.2 - A simple random sample of size n is drawn from a...
Ch. B.2 - NW 11. pH of Rain The following data represent the...Ch. B.2 - Travel Taxes Travelers pay taxes for flying, car...Ch. B.2 - Crash Test Results The following data represent...Ch. B.2 - Crawling Babies The following data represent the...Ch. B.2 - Peanuts A jar of peanuts is supposed to have 16...Ch. B.2 - Investment Risk Investors not only desire a high...Ch. B.2 - Critical Values Sir R. A. Fisher, a famous...
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- Find the critical value F0 for a one-tailed test using α = 0.01, d.f.N = 3, and d.f.D = 20.arrow_forwardIF n < 30 AND T = Ý−µ -H, √n SHOW HOW THE 100(1-2x)% CONFIDENCE INTERVAL FOR U IS DERIVEDarrow_forwardIf the sample data are in the critical region with α = 0.01 and Ho is rejected, then one could still reject Ho even if α were changed to 0.05. Is this statement True or False?arrow_forward
- Suppose we wish to test Ho: μ = 36 vs. H₁: μ 36 based on a sample of size 31. USE SALT Which of the following sample results yields the smallest p-value? Ox= 34, s = 6 x = 33, s = 4 x = 38, s = 2 Ox= 32, s = 9 Why? The sample results with an observed mean farthest from the hypothesized mean will yield the smallest p-value. The sample results with the test statistic of largest magnitude will yield the smallest p-value. The sample results with the test statistic of smallest magnitude will yield the smallest p-value. The sample results with an observed mean closest to the hypothesized mean will yield the smallest p-value. The sample results based on the largest sample size will yield the smallest p-value. The sample results based on the smallest sample size will yield the smallest p-value.arrow_forward3 For an SRS 4:³;=, from the normal distribution 7/2/2 (Y-M) ² 2 fy (y;u, 0²) - ▷ TIN 1 vážvože е Show that the sample mean I is an efficient estimator.arrow_forwardSuppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 100.88, y = 100.55, r= 0.917, P-value = 0.000, and y= -6.07 + 1.06x, where x represents the IQ score of the younger child. Find the best predicted value of y given that the younger child has an IQ of 110? The best predicted value of y is (Round to two decimal places as needed.) Question Viewer Enter your answer in the answer box. ? search 60%arrow_forward
- For a two-tailed independent samples t test with a = 0.05 and N1 = 30 & N2 = 32, the critical value(s) should be t?arrow_forwardProb. 3 Let X be a random variable with cumulative distribution function (cdf) given by (1-e-x², x ≥ 0 ={1,- x<0 Find the probability that the random variable X falls within one standard deviation of its mean. Fx (x) =arrow_forward1. The mean and standard deviation of a process are expected to be about μ = 400 and σ = 16. An experiment is required to estimated the true mean with precision 8 = 10 with 95% confidence, i.e. a confidence interval for the population mean of the following form is required: P(x-8<< x+6) = 0.95 where x will be determined from the sample data. Calculate the sample size for the experiment assuming that the distribution is normal and that the population standard deviation will be estimated from the sample standard deviation.arrow_forward
- 1. You are performing a two-tailed test with a sample size of 44.If α=.02α=.02, find the positive critical value, to four decimal places.tα/2= ? 2. You are performing a two-tailed test with a sample size of 88.If α=.01α=.01, find the positive critical value, to four decimal places.tα/2= ?arrow_forwardQuestion 2 a. Suppose a statistician chose to test a hypothesis at α = 0.01. the critical value for a right-tailed test is +2.33. If the test value is 1.97, what would the decision be? What would happen if, after seeing the test value, he decided to choose α = 0.05? What would the decision be? Explain the contradiction, if there one. b. What are three pieces of information you need to find the value of t-statistic. c. Researchers like to test hypotheses about comparing means. Under what circumstances will you use a one-sample t-test, an independent samples t-test, and an ANOVA (analysis of variance)?arrow_forwardA random sample of 70 observations produced a mean off x =24.1 from a population with a normal distribution and a standard deviation σ=3.68.arrow_forward
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