Question

In: Statistics and Probability

A paired difference experiment yielded pairs of observations. What is the rejection region for testing H_0:μ_d=2...

A paired difference experiment yielded pairs of observations. What is the rejection region for testing H_0:μ_d=2 vs H_a:μ_d>2 for the following case n_d=10,α=0.05.

(A) t >1.833 (B) t <-1.833 (C) t >1.328 (D) t >2.776

Solutions

Expert Solution


Related Solutions

The decision rule (aka, the rejection region) for testing the following pair of hypotheses at the...
The decision rule (aka, the rejection region) for testing the following pair of hypotheses at the .01 level of significance when a sample size of 45 is taken. H0: p = .45 Ha: p ≠ .45 P (p̂ < 0.35) where p̂ is approximately normally distributed with p = .33 and n = 100. c. Determine the p-value for testing: H0: µ = 43 Ha: µ ≠ 43 when a random sample of size 30 was taken from a normal...
The decision rule (aka, the rejection region) for testing the following pair of hypotheses at the...
The decision rule (aka, the rejection region) for testing the following pair of hypotheses at the .01 level of significance when a sample size of 45 is taken. H0: p = .45 Ha: p ≠ .45 P (p̂ < 0.35) where p̂ is approximately normally distributed with p = .33 and n = 100. Determine the p-value for testing: H0: µ = 43 Ha: µ ≠ 43 when a random sample of size 30 was taken from a normal population...
What is the rejection rule using the p-value approach to Hypothesis Testing? What is the rejection...
What is the rejection rule using the p-value approach to Hypothesis Testing? What is the rejection rule using the critical value approach to Hypothesis Testing?
What is the major advantage to constructing a paired difference experiment when comparing two population means?...
What is the major advantage to constructing a paired difference experiment when comparing two population means? a) The paired difference experiment accounts for dependence between data pairs. b) The paired difference experiment benefits from the fact that selecting samples independently is always optimal c) The test statistic is easier to calculate d)The paired difference experiment guarantees a strong linear correlation
What is a rejection region? What is a confidence level? What is a confidence interval? Discuss...
What is a rejection region? What is a confidence level? What is a confidence interval? Discuss how the three concepts are related to each other. Provide original examples throughout your discussion
What is a rejection region? What is a confidence level? What is a confidence interval?Discuss how...
What is a rejection region? What is a confidence level? What is a confidence interval?Discuss how the three concepts are related to each other. Provide an example in discussion. (9pts)
A paired difference experiment produced the following data: nD = 18 x ̅1 = 92 x...
A paired difference experiment produced the following data: nD = 18 x ̅1 = 92 x ̅2 = 95.5 x ̅D = -3.5 sD2 = 21 Determine the values of t for which the null hypothesis, µ1 - µ2 = 0, would be rejected in favor of the alternative hypotheses, µ1 - µ2 < 0. Use α = .10. Conduct the paired difference test described in part a. Draw the appropriate conclusions. What assumptions are necessary so that the paired...
Question 2 (6 marks) Part a) Calculate the statistic, set up the rejection region, interpret the...
Question 2 Part a) Calculate the statistic, set up the rejection region, interpret the result, and draw the sampling distribution. i) ii) Part b) H0: H1: Given that: σ=10, n=100, H0: H1: Given that: σ=15, n=100, μ=10 μ≠10 X =10, α=0.05. μ=50 μ<50 X =48, α=0.05. A statistics practitioner is in the process of testing to determine whether is enough evidence to infer that the population mean is different from 180. She calculated the mean and standard deviation of a...
Is the difference between the mean annual salaries of statisticians in Region 1 and Region 2...
Is the difference between the mean annual salaries of statisticians in Region 1 and Region 2 more than $8000? To​ decide, you select a random sample of statisticians from each region. The results of each survey are shown to the right. At α=0.10, what should you​ conclude? Answer A-E Region 1 x1 = $68,300 standard deviation = $8,750 n1 = 47 Region 2 x2 = $63,000 standard deviation = $9,275 n2 = 40 A. What are the alternative and null...
1) state your hypotheses; 2) draw a graph showing the critical z-scores and the rejection region;...
1) state your hypotheses; 2) draw a graph showing the critical z-scores and the rejection region; 3) calculate z-obtained; 4) make a conclusion. Does regular exercise improve cognitive skills? A sample of 67 3rd grade students was randomly assigned into 2 groups. One group (N=32) participated in an afterschool fitness program 3 days a week. Another group (N = 35) attended a regular afterschool care program. After 3 months, the mean cognitive test score in the first group was 138...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT