2 21 Χι is a pivotal quantity, Explain and if yes construct a B 98% Confidence interval for ß if a random sample is given by 2.4, 4.6, 3.3, 3.1, 4.6, 2.2, 3.8 Show whether or not
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- Please solve correctly with a proper explantion.A random sample of n1n1 = 236 people who live in a city were selected and 90 identified as a "dog person." A random sample of n2n2 = 103 people who live in a rural area were selected and 56 identified as a "dog person." Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. ___________< p1−p2p1-p2 <_____________8. Form a 90% confidence interval on the difference in means. group wine sample std dev 2.0 mean 10 17.4 no alcohol 10 12.4 2.0
- 4. The table below shows results from 10 replicate determinations of Cr in a single stainless steel sample via FAAS and XRF. Use the F test to determine if these two techniques give similar precision at the 95% confidence level. Be sure to show your work (i.e., standard deviations, etc.) and how you arrived at your conclusion. Replicate # 1 2 3 4 5 6 7 8 9 10 FAAS %Cr 12.62 12.62 12.67 12.79 12.07 13.08 12.97 12.73 12.70 11.93 XRF %Cr 12.16 12.36 12.51 12.36 11.60 12.66 12.39 13.06 13.92 11.60Mark performed a two-sample z-test for proportions to test the hypothesis that there was no difference in the proportion who support increasing student fees between male and female students at a particular university. Mark obtained a z-statistic of 0. Based on this information, which of the following is always true. The sample proportions for male and females will be the same as the hypothesized proportions for male and female students at this university. The sample proportions for both male and female students at this university will be 0. All male and female students in the sample will feel the same way about supporting the increase in student fees. The sample proportions will be the same for both male and female students at this university. Test whether p1>p2 The sample data are x1=116,n1=258,x2=135,n2=311. Conduct a test at the α=0.10 level of significance. Determine the correct null and alternative hypothesis below. Determine the test statistic. Find the P-value: What is…12. A new manufacturing process of component parts is being considered. Samples were taken improves the proportion of defective components. 1425 of 1500 components from the existing process and 1920 of 2000 components from the new process were found to be non-defective. 75 80 P1 = = 0.05, P2 = 0.04 and Pi - P2 = 0.05 - 0.04 = 0.01 1500 2000 a. Find a 99% confidence interval for the true difference in the fraction of defectives between the existing and the new processes? b. Based on your answer in (a), is there any significant difference between the existing and the new processes? Justify?
- 10. We had two experimental conditions, each with 10 participants Set up a 99% confidence interval for the difference using the data below. Report your final answer for each question using proper APA notation. Write a sentence indicating what your answer means. X = 12.2 SS = 54.8 X = 13.8 SS, = 72,5A random sample of n1n1 = 235 people who live in a city were selected and 79 identified as a "dog person." A random sample of n2n2 = 93 people who live in a rural area were selected and 67 identified as a "dog person." Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. < p1−p2<