(a) 95% confidence interval for μ₁ - ₂:0.14 to 0.44 Conclusion: Significance level: Group with the larger mean: (b) 99% confidence interval for μ₁ Conclusion: Significance level: Group with the larger mean: Conclusion: Но Significance level: (c) 90% confidence interval for μ₁ -4₂:-9.6 to -3.2 Group with the larger mean: Ho -M₂: -2.7 to 5.2 Но
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- 1)Remove the four potential outliers of 0, 0, 8, and 20, and then obtain a new histogram without the outliers. Does the data appear to be normally distributed now? 2)Assuming that the four potential outliers of 0, 0, 8, and 20 are not recording errors, repeat the hypothesis test from part (c) (again setting up the hypothesis test and using either the critical value or p-value approach), and compare your results with that obtained in (c). Did you make a different conclusion? 3)Imagine you know have to make a recommendation/conclusion to the company that hired you: Assuming that the four potential outlies are not recording errors, and looking at the two results above, would you recommend using the first test with the outliers or the second test with the outliers removed? There is no right or wrong answer here, I am interested in what you think and your reasoning.The distribution of claim size under a certain class of policy is modelled as a normal random variable, and previous years records indicate that the standard deviation is £120. Calculate the width of a 95% confidence interval for the mean claim size if sample of size 100 is available. Determine the minimum sample size required to ensure that a 95% confidence interval for the mean claim size is of width at most £10. Comment briefly on the comparison of the confidence intervals in (i) and (ii) with respect to widths and sample sizes used.Based on your confidence interval from the previous problem, can you conclude that the mean permeability coefficient at 60∘60∘C differs from that at 61∘61∘C at the 0.05 level of significance? A. Yes, because the 95% confidence interval includes 0 B. No, because the 95% confidence interval includes 0 C. Yes, because the 95% confidence interval does not include 0 D. No, because the 95% confidence interval does not include 0 E. It is impossible answer this question only using the 95% confidence interval.
- A) Test H0 : σ 2 X = σ 2 Y versus H1 : σ 2 X 6= σ 2 Y with significance level α = 0.05 B) Assume σ 2 X = σ 2 Y , construct an one-sided 95% confidence interval with a lower bound for the mean differences in interferon gamma production for drinking tea when compared to coffee, that is, µX − µY .For a given confidence interval and significance level, and assuming a relatively small sample size, say 25, the relationship between a T critical value and a Z critical value can be best expressed as: T-Value > Z-ValueA 30 month study is conducted to determine the difference in rates of accidents per month between two departments in an assembly plant. If a sample of 12 from the first department averaged 12.3 accidents per month with a standard deviation of 3.5, and a sample of 9 from the second department averaged 7.6 accidents per month with standard deviation of 3.4, find: The t-value for a 95% confidence interval is: A. 2.09302 B. 1.724718 C. 2.08596 D. 1.729133 E. none of the preceding
- A diabetic nurse seeks to assess the prevalence of type 2 diabetes among women in a population (age 18 to 80 years). She conveniently sampled 100 women attending antenatal care and asked them whether they had hypertension. Of the 100 pregnant women sampled, 50 consented to take part in the study and 1 had diabetes. Based on this finding, the nurse concluded that “the prevalence of diabetes among women in the population is low (2%).” A) Do you agree with the conclusion made by the diabetic nurse? Justify in not more than 100 words? B) Would you have conducted such a study differently if you had all the resources at hand (Describe in not more than 75 words).Two catalysts in a batch chemical process are being compared for their effect on the output of the process reaction. A sample of 14 batches was prepared using catalyst 1 and gave an average yield of 85 with a sample standard deviation of 4. A sample of 13 batches was prepared using catalyst 2 and gave an average yield of 80 and a sample standard deviation of 3. Find a 90% confidence interval for the difference between the population means, assuming that the populations are approximately normally distributed with equal variances.Find the value of tn−1,α/2 needed to construct a two-sided confidence interval of the given level with the given sample size: a) Level 90%, sample size 12. b) Level 95%, sample size 7. c) Level 99%, sample size 2. d) Level 95%, sample size 29.
- A company owns several manufacturing facilities, Soppose employees have a suspicion that they are being over-exposed to high carbon monoxide. The company takes 30 readings to test the carbod monoxide level over several week span and find a sample mean of 55 ppm. For these manufacturing facilities is sigma = 12 A) Construct a 99% confidence interval for the population mean level of carbon monoxide at their facilities, B) Suppose another sample of 30 readings are taken resulting in a sample mean level of CO of 60ppm. Create another interval for population mean, mew. Based on this sample, are workers being over exposed to carbon monoxide? Explain Please help me :)Find the critical value t/α2 needed to construct a confidence interval of the given level with the given sample size. Round the answers to three decimal places. a) For level 95% and sample size 7 b) For level 98% and sample size 12 c) For level 99% and sample size 27 d) For level 98% and sample size 14When compared to the Qcrit value for the suspected outlier for Batch A at 95.0% confidence (a = 0.05), what conclusion can we make?