Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter B.2, Problem 7AYU
In Problems 5–8, find the critical values
7. 98% confidence, n = 23
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A sample of n = 81 scores is obtained from a population with µ = 80 and σ = 27. If the sample mean corresponds to a z-score of +2.33, what is the value of the sample mean?
6. For a left-tailed test when n = 8 and a = 0.10 the critical value is
%3D
a. 1.397
b. -1.397
C. 1.415
d. -1.415
A sample of n = 16 scores is selected from a normal population with σ = 32. If the sample mean of M = 81 produces a z-score of z = -1.75, then what is the population mean?
Chapter B.2 Solutions
Fundamentals of Statistics (5th Edition)
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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 = 15.379arrow_forwardA sample of n = 16 scores is selected from a population with μ = 100 and σ = 32. If the sample mean is M = 104, what is the z-score for this sample mean?arrow_forwardFor a value of population parameter 0 equal to 2, which one of the following cases corresponds to an unbiased estimator with higher precision? E(Ô ) = 2 and Var(Ô) = 2 E(ô – 0) = 0 and Var( ô ) = 2 E(ô – 0 ) = 2 and Var(ô ) = 1 E(Ô) = 2 and Var( Ô ) = 1 ||arrow_forward
- .If the variance of a Poisson variate is 3. Find the probability that, ne (1) x = 0 (ii) 1sx<4 eor (iii) 0arrow_forwardYou are performing a two-tailed test.If α=.005α=.005, find the positive critical value, to two decimal placesarrow_forwardA sample of n = 16 scores is obtained from a population with μ = 70 and σ = 20. If the sample mean is M = 80, what is the z -score for the sample mean?arrow_forwardA sample of n = 16 scores is selected from a normal population with σ = 32. If the sample mean of M = 81 produces a z-score of z = -1.75, then what is the population mean (μ)?arrow_forwardSuppose that a sample of T=36 recent college graduates is used estimate the model y, = B+e, where y, is the hourly wage rate. We have: y = $22.2,o² = 36 (a) Test whether the mean wage for recent college graduates is $20/hour at a = 1% (Be sure to state the null and the alternative hypotheses, the test statistics, their distribution and d.f., and your decision for this test). (b) Construct a 90% confidence interval estimation for B.arrow_forward2. We have a random sample of size 17 from the normal distribution N(u, o?) where u and o2 are unknown. The sample mean and variance are x= 4.7 and s² = 5.76 (a) Compute an exact 95% confidence interval for the population mean µ (b) Compute an approximate (i.e. using a normal approximation) 95% confidence interval for the population mean u (c) Compare your answers from part a and b. (d) Compute an exact 95% confidence interval for the population variance o? (e) Use the fact that S2 N(o2, 20) to compute an approximate 95% confidence interval for the population variance o? (f) Compare your answer from part (d) and (e)arrow_forwardYou are conducting a left-tailed test of a claim about a population mean when sigma is unknown with a sample size of 37.If α=.05α=.05, find the critical value, to two decimal places.arrow_forwardA population has µ = 60 and σ = 10. For a sample of n = 25 scores from this population, a sample mean of M = 55 would be considered an extreme value. True Falsearrow_forward2. We have a random sample of size 17 from the normal distribution N(µ,o²) where u and o² are unknown. The sample mean and variance are x= 4.7 and s? = 5.76 (a) Compute an exact 95% confidence interval for the population mean µ (b) Compute an approximate (i.e. using a normal approximation) 95% confidence interval for the population mean µ (c) Compare your answers from part a and b. (d) Compute an exact 95% confidence interval for the population variance o2 (e) Use the fact that S2 N(o², 20) to compute an approximate 95% confidence interval for the population variance o² n-1 (f) Compare your answer from part (d) and (e)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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