(c) There are three major antidepressants medicine known as Paxil, Prozac and Lexapro. A medical company conducted an experiment to determine the degree of relief provided by these three medicines. All the medicine were tried on 140 patients and the following data recorded: Medicine Stress relief: Рaxil Prozac Lexapro Not effective 16 10 Partially effective 30 20 21 Totally effective 6 16 12 At the 0.01 level of significance, test the hypothesis (Họ: Three medicines are equally effective) that the three medicines are equally effective. Use the chi-squared critical value approach.
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- In low-speed crash tests of five cars, the repair costs were computed for a factory authorizedrepair and an independent repair workshop. The results are listed in Table 2. Is there sufficientevidence to support the claim that the independent workshop has lower repair costs? Use a 0.01significance level.Table 2 car 1 2 3 4 5 authorized repair centre X1 RM797 RM571 RM904 RM1147 RM418 independent workshop X2 RM523 RM488 RM875 RM911 RM297 D=X1 - X2 274 83 29 236 121 D2 = (X1 -X2)2 75076 6889 841 55696 14641You've conducted a k-means cluster analysis and in your output you have the following average within-cluster distances for each cluster: Cluster 1: 0.946 Cluster 2: 1.332 Cluster 3: 0.865 Cluster 4: 1.098 From these average within-cluster distances, which cluster is the most homogeneous? Question 3 options: Cluster 1 Cluster 2 Cluster 3 Cluster 4An experiment was performed to judge the effect of four different fuels and three different types of launchers on the range of a certain rocket. Test, on the basis of following ranges in miles, whether there is a significant effect due to differences in fuels and whether there is a significant effect due to differences in launchers. Use the 0.01level of significance.Fuel 1 Fuel 2 Fuel 3 Fuel 4Launcher X 45 47 48 42Launcher Y 43 46 50 37Launcher Z 51 52 55 49
- To test the fairness of law enforcement in its area, a local citizens’ group wants to know whether women and men are unequally likely to get speeding tickets. Four hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a 0.10 level of significance, test the claim of the citizens’ group. Let men be Population 1 and let women be Population 2. Speeding Tickets Ticketed Not Ticketed Men 12 183 Women 30 175 Copy Data Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.To test the fairness of law enforcement in its area, a local citizens’ group wants to know whether women and men are unequally likely to get speeding tickets. Three hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a 0.02 level of significance, test the claim of the citizens’ group. Let men be Population 1 and let women be Population 2. Ticketed Not Ticketed Men 14 165 Women 22 99 Step 1 of 3: State the null and alternative hypotheses for the test Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.A liquor wholesaler is interested in assessing the effect of the price of a premium scotch whiskey on the quantity sold. The results in the accompanying table on price, in dollars, and sales, in cases, were obtained from a sample of 8 weeks of sales records.Price 19.2 20.5 19.7 21.3 20.8 19.9 17.8 17.2Sales 25.4 14.7 18.6 11.4 11.1 15.7 29.2 35.2Test, at the 5% level against the appropriate one-sided alternative, the null hypothesis that sales do not depend linearly on price for this premium scotch whiskey.
- kindly assist, An epidemiologist who is working in Capricorn Department of Health investigated the occurrence ofCOVID-19 disease during winter season and found 275 COVID-19 cases out of 10,000 residents ofthe district. Based on these collected data, he would like to proof the claim that "during winter seasonthe proportion of patients with COVID-19 in Capricorn district is less than 3%". Using 5% level ofsignificance, write and test the above claim, following a)Generalised Likelihood Ratio (GLR) test Whenever necessary, you may use ?^21−0.05(1) = ?20.95(1) = 3.8416To test the fairness of law enforcement in its area, a local citizens’ group wants to know whether women and men are unequally likely to get speeding tickets. Four hundred randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. Using the results in the following table and a 0.100.10 level of significance, test the claim of the citizens’ group. Let men be Population 1 and let women be Population 2. Speeding Tickets Ticketed Not Ticketed Men 35 144 Women 22 199 step 1: find test statistic step 2: draw conclusion, interpret the reasoningWeinstein, McDermott, and Roediger (2010) report that students who were given questions to be answered while studying new material had better scores when tested on the material compared to students who were simply given an opportunity to reread the material. In a similar study, an instructor in a large psychology class gave one group of students questions to be answered while studying for the final exam. The overall average for the exam was μ = 73.4, but the n = 16 students who answered questions had a mean of M = 78.3 with a standard deviation of s = 8.4. For this study, did answering questions while studying produce significantly higher exam scores? Use a one-tailed test with α = .01 and the Distributions tool to help. (Round your answers to three decimal places, when needed.) sMM = t-critical = t = The results indicate: Failure to reject the null hypothesis; answering questions while studying did not produce significantly higher exam scores…