Test stat: p value: Construct a confidence interval suitable for testing the claim that the two samples are from population with same mean ____
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Test stat:
p value:
Construct a confidence interval suitable for testing the claim that the two samples are from population with same mean
____<u1-u2<___
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- What is meant by the sample space of an experiment?Independent random samples of 32 people living on the west side of a city and 30 people living on the east side of a city were taken to determine if the income levels of west side residents are significantly different from the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are significantly different from the income levels of east side residents, at the 2% significance level. H0:μw=μeHa:μw≠μe t0=2.364 t0.01=±2.099 Select the correct answer below: No; the test statistic is not between the critical values. No; the test statistic is between the critical values. Yes; the test statistic is not between the critical values. Yes; the test statistic is between the critical values.A professor at a large university believes that students take an average of 15 credit hours per term. A random sample of 22 students in her class of 250 students reported the following number of credit hours that they were taking: 12 12 12 13 13 14 14 14 14 15 15 15 16 16 16 16 16 17 17 18 19 21 Does this sample indicate that students are taking more credit hours than the professor believes? Test an appropriate hypothesis and state your conclusion at 5% significance level. Which method will you use to perform the test? Choose the correct one. a1-sample T test b2-sample T test c-sample Z test d-sample T teste- e1proportion Z test.
- Compute a repeated-measures ANOVA The following data were obtained from a repeated-measures study comparing three treatment conditions. Use a repeated-measures analysis of variance at the .05 significance level to determine whether these data are sufficient to demonstrate significant differences between the treatments. Give the Source Table. Report the effect size. Person Tx1 Tx2 Tx3 A 6 8 10 B 5 5 5 C 1 2 3 D 0 1 2The samples were analysed to determine their chemical composition and the percentage of aluminum oxide in each of 9 and 10 samples at two sites shown in the table below. 1. (i) Determine the sample pooled variance: (ii) the alternative hypothesis to be tested: (iii) the test statistic and conclusion.Two types of flares are tested and their burning times (in minutes) are recorded. Summary statistics are given below.Brand Xn=35x = 19.4 mins = 1.4 min Brand Yn=40x = 15.1 mins = 0.8 min Use a 0.08 significance level to test the claim that the two samples are from populations with the same mean. Use the traditional method or the P Value method of hypothesis testing.
- Independent random samples of 31 people living on the west side of a city and 25 people living on the east side of a city were taken to determine if the income levels of west side residents are greater than the income levels of east side residents. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the income levels of west side residents are greater than the income levels of east side residents, at the 2% significance level. H0:μw≤μeHa:μw>μe t0=0.511 t0.02=2.104 Select the correct answer below: Yes; the test statistic is greater than the critical value. No; the test statistic is greater than the critical value. No; the test statistic is less than the critical value. Yes; the test statistic is less than the critical value.Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.050.05 significance level for both parts. Treatment Sham muμ mu 1μ1 mu 2μ2 n 1414 1414 x overbarx 0.490.49 0.380.38 s 0.910.91 1.471.47 a. Test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? A. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1not equals≠mu 2μ2 B. Upper H 0H0: mu 1μ1less than<mu 2μ2 Upper H…Test the research hypothesis that there is a difference in weights between the two groups at the 0.05 significance level? Assume the equality of variance, adequate sample size, and normal distribution for both the groups to test the hypothesis. X1 = 200 X2 = 198 n1 = 17 n2 = 17 s1 = 2.45 s2 = 2.35 Please show all the necessary steps of hypothesis testing to answer this question.