In addition to knowing a person's blood type, it is important to also know whether their Rh factor is positive or negative. The blood types of the first 200 individuals to have their blood drawn at ahospital lab on Monday are recorded below.TypeRh FactorABPositive61121677Negative9.9.815(a) Based on these sample results, does it appear that these two methods of classifying blood types are independent at the a = 0.05 level of significance?State the null and alternative hypotheses.Ho:: Rh factor and blood types are dependent.: Rh factor and blood types are independent.Ha:Ho: Rh factor and blood types are independent.: Rh factor and blood types are dependent.НаHo: Rh factor and blood types are independent.: Rh factor and blood types are linearly related.HaiHo:: The number of people with the same Rh factor and blood type are equal.H: The number of people with the same Rh factor and blood type are different.Ho: Rh factor and blood types are linearly related.H: Rh factor and blood types are dependent.Find the test statistic. (Round your answer to two decimal places.)х? -Find the rejection region. (Round your answer to two decimal places.)x? >

The null and alternative hypotheses for the test are: H0: Rh factor and blood types are…

Answered: In addition to knowing a person's blood…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a study of the potential role of drug therapy in the treatment of bladder instability in older adults, 136 incontinent older adults received an experimental therapeutic, and 124 received a placebo treatment. Of the “experimental” participants, 128 saw a satisfactory resolution to their incontinence, compared with only 110 of the patients receiving a placebo. You are interested in determining whether or not there is a statistically significant difference between groups (alpha = 0.05).What is the obtained value of your statistic? Take your answer to two decimal places. (Answer = 2.55)How many degrees of freedom do you have in your analysis? (1)To what critical value would you compare your observed value of chi-square? Express your answer to four decimal places. (3.8415) Need an explanation of these answers. Thanks.
A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below, use the 0.05 level of significance in determining whether the new filtration system could be superior. Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 Do reject or fail to reject H0?
Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.02 level of significance whether the two methods of analysis give, on the average, the same result
Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.10 level of significance whether the two methods of analysis give, on the average, the same result.
Wertheretal et al. examined the β-leucocyte count (/ L) in 51subjects with colorectal cancer and 19 healthy controls. The cancer patients were also classified into Dukes’s classification (A,B,C) for colorectal cancer that gives doctors a guide to the risk, following surgery, of cancer coming back or spreading to other parts of the body. An additional category (D) identified patients with disease that had not been completely resected. The results are displayed in the following table. Perform an analysis of these data in which you identify the sources of variability and specify the degrees of freedom for each. Do these data provide sufficient evidence to indicate that, on average, leucocyte counts differ among the five categories? Let α=0.01 . Write the null and alternative hypotheses of this study. Test the claim using the ANOVA Table. If you reject the null hypothesis, interpret your results using multiple comparison test Bonferroni. What assumptions must be made in part (b)? Are they…
A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: Diagnosis Category Affective Disorders Cognitive Disorders Drug-Related Conditions 7 12 8 6 8 10 5 9 12 6 11 10 Using alpha = 0.05, is there a significant difference in length of stay among diagnosis categories? Show all five steps of hypothesis testing. For additional practice, compute the means and standard deviations for each group. What is the purpose of a post hoc test? What does it tell us? Explain why we do not need a post hoc test if there are only two groups in our study. Conduct Tukey's HSD post hoc test to determine where there is a difference in the three groups.
A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: Diagnosis Category Affective Disorders Cognitive Disorders Drug-Related Conditions 7 12 8 6 8 10 5 9 12 6 11 10 Using alpha = 0.05, is there a significant difference in length of stay among diagnosis categories? Show all five steps of hypothesis testing and compute the means and standard deviations for each group.
A manufacturer is developing a nickel-metal hydride battery to be used in cellular telephones instead of a nickel-cadmium battery. The director of quality control decides to evaluate the newly developed battery by picking a random sample of employees with cellular phones and asking them to use both phones until the batteries run down. The results are given in the excel data file. At the 5% level of significance is there evidence that the new battery provides more minutes of talk time per battery charge? Show your work and give your answer in complete sentences in context of the problem. Data Table: Person Old Battery Type New Battery Type 1 72.39 89.95 2 75.25 64.60 3 82.10 71.25 4 58.98 87.07 5 67.07 103.11 6 35.98 76.46 7 75.37 83.92 8 66.00 83.42 9 73.14 84.30 10 67.14 92.48 11 83.06 93.48 12 57.00 59.11 13 65.92 92.27 14 76.12 61.81 15 85.21 72.83 16 80.73 42.17 17 60.65 83.89 18 36.63 94.41 19 77.98 70.30 20 75.40 77.72 21 84.70 84.35…
Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…
Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…
A major oil company has developed a new gasoline additive that is supposed to increase mileage. To test this hypothesis, ten cars are randomly selected. The cars are driven both with and without the additive. The results are displayed in the following table. Can it be concluded, from the data, that the gasoline additive does significantly increase mileage? Let d=(gas mileage with additive)−(gas mileage without additive)d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.05α=0.05 for the test. Assume that the gas mileages are normally distributed for the population of all cars both with and without the additive. Car 1 2 3 4 5 6 7 8 9 10 Without additive 22.922.9 20.920.9 11.311.3 27.127.1 9.59.5 19.419.4 16.816.8 16.816.8 20.120.1 27.227.2 With additive 25.625.6 23.623.6 13.313.3 28.728.7 1313 2222 1717 18.218.2 2121 29.629.6 Copy Data Step 2 of 5 : Find the value of the standard deviation of the paired differences. Round your…
In a clinical trial of the effectiveness of echinacea for preventing colds, the results in the table below were obtained. Use a 0.05 significance level to test the claim that getting a cold is independent of the treatment group. What do the results suggest about the effectiveness of echinacea as a prevention against colds? Can we conclude that the prevention against colds relies on the use of echinacea? Treatment Group Placebo Echinacea: 20% extract Echinacea: 60% extract Got a Cold 82 45 41 Did Not Get a Cold 11 2 9 Round to four decimal places if necessary. a) Write the hypotheses b) The expected frequency of people who used 20% extract of Echinacea and got a cold is . The expected frequency of people who used 40% extract of Echinacea and did not get a cold is . c) significance level: α = d) Test statistic: e) Compute p-value of the test statistic. f) Decision: g) Write conclusion

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