عند إرسال هذا Find the النموذج variance of the data انات التالية * 2,4,5,6.8.17
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- A researcher wants to find the effect of a special diet on systolic blood pressure. A sample of 7 adults was selected to start them on this diet for 3 months. Based on this information, can it be stated that systolic blood pressure changes with the special diet? Based on the findings of the test carried out, it is possible to conclude that...... A. systolic blood pressure does not change with special diet B. systolic blood pressure changes with special diet C. systolic blood pressure is lower with the special diet D. systolic blood pressure is higher with the special diet E. It is not possible to conclude anything regarding systolic blood pressure with the special dietThe average drying time of a manufacturer’s paint is 20 minutes. Investigating the effectiveness of a modifica-tion in the chemical composition of her paint, the manu-facturer wants to test the null hypothesis μ = 20 minutes against a suitable alternative, where μ is the average dry-ing time of the modified paint. (a) What alternative hypothesis should the manufactureruse if she does not want to make the modification in thechemical composition of the paint unless it decreases thedrying time?(b) What alternative hypothesis should the manufactureruse if the new process is actually cheaper and she wants tomake the modification unless it increases the drying timeof the paint?Suppose that the continuous two-dimensional random variable (X, Y ) is uniformly distributed over the square whose vertices are (1, 0), (0, 1), (−1, 0), and (0, −1). Find the Correlation Coefficient ρxy
- A geneticist is interested in the proportions of males and females in a population who have a certain minor blood disorder. In a random sample of 100 males, 34 are found to be afflicted, whereas only 30 of 120 females tested have the disorder. With this sample information, geneticist wants to test the proportion of men in the population afflicted with this blood disorder is significantly greater than the proportion of women afflicted. Find the p value for the test7. The manufacturer of an Engine Energizer System (EES) claims that it improves gas mileage and reduces emissions in automobiles by using magnetic-free energy to increase the amount of oxygen in the fuel for greater combustion efficiency. Following are test results, performed under international and U.S. government agency standards, on a random sample of 14 vehicles. The data (also see file M09_Gas_Paired.txt or M09_Gas_Q7.xlsx) give the carbon monoxide (CO) levels, in parts per million, of each vehicle tested, both before installation of EES and after installation. (a)Test at the 1% significance level whether, on average, EES reduces CO emissions (b)Obtain a 99% confidence interval for the difference between the mean CO emissions before and after installation of EES corresponding to the test in part (a) (c)Interpret the confidence interval obtained in part (b). Does this interval support the conclusion of the hypothesis test in part (a)? Justify your answerA manufacturer of automatic car transmissions uses steel gears. An important characteristic of these gears is their hardness. An experiment is conducted to compare gears made from three different steel alloys, that is, three different compositions of steel. Gears made from each of these steel alloys were heat-treated or hardened at two different temperature levels, 1600 and 1800 °F. Twelve gears of each of the three different steel alloys were available --six were randomly assigned to each of the two temperature levels. For this experimental situation:a. What are the experimental units?b. What are the explanatory variables?c. What is the response variable?d. How many different treatment combinations will there be?e. Create the design table and how many total experimental units will be needed for this experiment?
- A mutation in Gene A is thought to be associated with a disease. The mutation in Gene A is found in 5% of the population. 2% of the whole population is diagnosed with disease B at some point in their life time. 1% of the population both has the mutation and also gets diagnosed with the disease in their life time. Is the provided data adequate to test the independency of mutation in Gene A and occurrence of Disease B? If it is not, what other information or data is needed to test the independency? What is the probability of Disease B, among the individuals with the mutation in Gene A? What is the probability of having the mutation in Gene A among the individuals with Disease B? If an individual has the mutated Gene A, what is their Relative Risk of developing the disease?A researcher finds a correlation of r x y = + 0.40 with a sample of n = 25 bi-variate observations. Given a null hypothesis of H0: ρ x y = 0 and α = 0.05 , the researcher should: cant tell from the information given reject the null hypothesis fail to reject the null hypothesisLet $X$ and $Y$ be random variables with the space consisting of the four points (0,0),(1,1),(1,0),(1,-1) . Assign positive probabilities to these four points so that the correlation coefficient is equal to zero. Are $X$ and $Y$ independent?
- 18. Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidants in foods such as blueberries can reduce and even reverse these age-related declines, at least in laboratory rats (Joseph et al., 1999). Based on these results, one might theorize that the same antioxidants might also benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of n = 16 adults who are older than 65, and gives each participant a daily dose of a blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of M = 50.2. For the general population of elderly adults, scores on the test average μ = 45 and form a normal distribution with σ = 9. a. Can the researcher conclude that the supplement has a significant effect on cognitive skill?…In the initial test of the Salk vaccine for polio, 400,000 children were selected and divided into two groups of 200,000. One group was vaccinated with the Salk vaccine while the second group was vaccinated with a placebo. Of those vaccinated with the Salk vaccine, 33 later developed polio. Of those receiving the placebo, 115 later developed polio. Test the hypothesis that the Salk vaccine is effective in lowering the polio rate. Use a=0.01 Apply p-value and classical approach. Show step1-ste03.A manufacturer of automatic car transmissions uses steel gears. An important characteristic of these gears is their hardness. An experiment is conducted to compare gears made from three different steel alloys, that is, three different compositions of steel. Gears made from each of these steel alloys were heat-treated or hardened at two different temperature levels, 1600 and 1800 °F. Twelve gears of each of the three different steel alloys were available -- six were randomly assigned to each of the two temperature levels. For this experimental situation: How many different treatment combinations will there be? Create the design table and how many total experimental units will be needed for this experiment?
