A sample is selected from a population with μ = 52, and a treatment is administered to the sample. If the sample variance is s = 121, which set of sample characteristics has the greatest likelihood of rejecting the null hypothesis? A) M = 49 for a sample size of n = 15 B) M = 49 for a sample size of n = 75 C) M = 45 for a sample size of n = 15 D) M = 45 for a sample size of n = 75
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A sample is selected from a population with μ = 52, and a treatment is administered to the sample. If the sample variance is s = 121, which set of sample characteristics has the greatest likelihood of rejecting the null hypothesis?
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- Test the claim about the difference between two population means H, and u2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: 41 SH2; a = 0.10. Assume o, #o, Sample statistics: X, = 2417, s, = 179, n, = 12 and X2 = 2296, s2 = 53, n2 = 10 Identify the null and alternative hypotheses. Choose the correct answer below. 대= 내 : "H OF. Ho: H1 2H2 Find the standardized test statistic t. (Round to two decimal places as needed.) Find the P-value. (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. V Ho. There V enough evidence at the 10% level of significance to reject the claim.We have provided a sample mean, sample size, and population standard deviation. In each case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level. x = 20, n = 24, σ = 4, H0: μ = 22, Ha: μ ≠ 22J 2 We want to estimate the proportion of defective parts produced by a machine and the estimation will be through a two-sided confidence interval and simple random sampling with replacement. a) Assuming a confidence level of 90% and a margin of error of 3%, what is the required sample size? (Assume maximum variance). b) Assuming a 90% confidence level and a 3% estimation error, what is the required sample size? (Assume maximum variance).
- Using the information provided below, calculate the pooled variance (s) when needed and then estimated standard error (SM₁-M₂): a) n₁=28, SS₁ = 88 | n2 = 32, SS₂ = 76 = ² b) n₁=9 SS₁=1554 | n² = 13, SS₂ =1492 : s²/ c) n₁ =20,s² = 0.88 | n2 =20, s² = 0.75 : s² = d) n₁ =18, s² = 2.38 | n2 = 16, s² =3.30 : s 11 SM₂-M₂ SM₂-M₂ SM₁-M₂² SM₁-M₂²Test the claim about the differences between two population variances a and o at the given level of significance a using the given sample statistics. Assume that the sample statistics are from independent samples that are randomly selected and each population has a normal distribution. Claim: o so, a = 0.05 Sample statistics: s, = 705, n, =3, s = 368, n, = 9 Find the null and alternative hypotheses. OA Hoio> Hạ: o so3 OC. Hoi o z0 H,: oTest the claim that the proportion of men who own cats is significantly different than 50% at the 0.02 significance level.a.) The null and alternative hypothesis would be: b.) The test is: right-tailed left-tailed two-tailed Based on a sample of 60 men, 59% owned cats c.) The sample proportion ˆp=d.) The test statistic is: (to 2 decimals)e.) At α=α=0.02, the critical value is:± (to 2 decimals)f.) Based on this we: Reject the null hypothesis Fail to reject the null hypothesisTest whether µ, <µ, at the a = 0.01 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed. Click the icon to view the data table. Determine the null and alternative hypothesis for this test. A. Ho:H1The number of points held by random samples of the NHL's highest scorers of both the Eastern Conference and the Western Conference is shown. At the 0.05 level of significance, can it be concluded that there is a difference in means based on theses data: Eastern Conference Western Conference 83 60 75 58 77 59 72 58 78 59 70 58 37 57 66 55 62 61 59 61 What is the appropriate null hypothesis for this problem? (u= population mean for this problem) What is the critical Value? What is the test statistics? What is the decision?For a population with μ = 50 and σ = 18, the distribution of sample means based on n = 9 will have a standard error of:Let Y₁, Y₂, ..., Y₁ denote a random sample from a normal distribution with unknown mean and unknown variance o². For testing Ho: o² = 0 vs. Ha: o²o, show that the a-level Likelihood Ratio Test (LRT) is equivalent to the x² testAssume that a simple random sample has been selected from a normally distributed population and test the given claim.A researcher wants to test the claim that convicted burglars spend an average of 18.7 months in jail. She takes a random sample of 11 such cases from court files and finds that x = 21.3 months and s = 5.7 months. Test the claim at the 0.05 significance level.State the claim in words: Convicted Burglars spend an average of 18.7 months in jail. Ho μ = 18.7 H1 μ ≠ 18.7 What calculator function is needed? p value = __________ Since p ________ α, ________________________ the null hypothesis. Final conclusion:Two separate samples, each with 16 individuals, receive two different treatments. After treatment, the first sample has SS = 1540 and the second has SS = 1460. a. Find the pooled variance, s2p, for the two samples b. The estimated standard error is c. If the sample mean difference is 10 points (i.e., M1 - M2 = 10), compute the t-statistic. The t-statistic is:SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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