2. Monosodium Glutamate (MSG) had been considered to induce obesity in rodents and mice. In line with this, a study was conducted to determine the effect of the amount of MSG in the body-weight of mouse. A total of 14 experimental mice were used in the study The first set of seven mice received an amount of 5 mg MSG/body-weight while the other set of seven mice received an amount of 19 mg MSG/body-weight of MSG. The initial weight of mice and weight two weeks after injection of MSG were observed. The observations are summarized in the tables below. Table 1. Weights of Mice Injected with 5 mg MSG/body-weight Amount of MSG Body-Weight Week 2 Table 2. Weights of Mice injected with 15 mg MSG/body- weight Amount of MSG Body-Weight No. No. Week 0 Week 0 Week 2 18.18 29.1 1 20.11 27.16 19.21 27.22 19.03 26.07 3. 19.23 28.19 3. 18.89 29.12
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- A hypothetical study looks at the effect of drinking alcohol on health. Across all genders and age groups, people who do not drink tend to be healthier on average than people who do drink. However, people who drink regularly are on average healthier than those people who have recently stopped drinking. Is it reasonable to conclude that for the sake of health, we should not start drinking, but if we have already started drinking alcohol, it is healthier to continue and not to stop?Suppose a researcher is interested inthe effectiveness in a new childhood exercise program implemented in a SRS of schools across a particular county. In order to test the hypothesis that the new program decreases BMI (Kg/m2), the researcher takes a SRS of children from schools where the program is employed and a SRS from schools that do not employ the program and compares the results. Assume the following table represents the SRSs of students and their BMIs. Student intervention group BMI (kg/m2) Student control group BMI (kg/m2) A 18.6 A 21.6 B 18.2 B 18.9 C 19.5 C 19.4 D 18.9 D 22.6 E 24.1 F 23.6 A) Assuming that all the necessary conditions are met (normality, independence, etc.) carry out the appropriate statistical test to determine if the new exercise program is effective. Use an alpha level of 0.05. Do not assume equal variances.B) Construct a 95% confidence interval about your estimate for the average difference in BMI between the groups.An experiment to determine if a migraine medication decreases a person's average number of monthly migraines is performed on 400 people who report they have several migraines a month. Researchers randomly assigned 200 people to the treatment group and 200 people to the control group. After the study, the researchers determined that 48 of the subjects in the treatment group and 28 of the subjects in the control group average fewer migraines per month. The data from the two groups are resampled 150 times, and the table shows the distribution of the differences of the proportions for the reconfigured treatment and control groups.
- In a study of exhaust emissions from school buses, the pollution intake by passengers was determined for a sample of nine school buses used in the Southern California Air Basin. The pollution intake is the amount of exhaust emissions, in grams per person per million grams emitted, that would be inhaled while traveling on the bus during its usual 18-mile18-mile trip on congested freeways from South Central LA to a magnet school in West LA. (In comparison, a city of 11 million people will inhale a total of about 1212 grams of exhaust per million grams emitted.) The amounts for the nine buses when driven with the windows open are given in the table. 1.15 0.33 0.40 0.33 1.35 0.38 0.25 0.40 0.35 A good way to judge the effect of outliers is to do your analysis twice, once with the outliers and a second time without them. Give the 90%90% confidence interval with all the data for the mean pollution intake among all school buses used in the Southern California Air Basin that…In a study conducted in the Science Department of Faculty of Science, Technology and Human Development in a University; the researcher examined the influence of the drug succinylcholine on the circulation levels of androgens in the blood. Blood samples from wild, free-ranging deer were obtained via the jugular vein immediately after an intramuscular injection of succinylcholine using darts and a capture gun. Deer were bled again approximately 30 minutes after the injection and then released. The level of androgens at time of capture and 30 minutes later, measured in nanograms per milliliter (ng/ml), for 15 deers as in Table Q1. Assuming that the populations of androgen at time of injection and 30 minutes later are normally distributed:i) Find the average and standard deviation of this studyii)Determine the critical region of this problem.iii) Test at the 0.05 level of significance whether the androgen concentrations are altered after 30 minutes of restraint.In a study conducted by the U.S. Department of Health and Human Services, a sample of 546 boys aged 6–11 was weighed, and it was determined that 87 of them were overweight. A sample of 508 girls aged 6–11 was also weighed, and 74 of them were overweight. Can you conclude that the proportion of boys who are overweight differs from the proportion of girls who are overweight?
- A doctor would like to evaluate whether flu-frequency is different among patients of various ages. He groups his most recent 12 patients into four groups according to age (pediatric, young adult, older adult, senior), and counts the frequency of their flu-related visits. Below is his data. Test the hypothesis that flu frequency is different among pediatric, adult, older adult, and senior patients using an alpha level of .01. Pediatric. Young Adult. Older Adult. Senior 6 2 4 7 4 1 0 9 5 0 0 12 g. What does your decision mean? h. Paste your SPSS output here: i. Explain how the Sig. value in your SPSS output leads you to…for an experiment involving 3 levels of factor A and 3 levels of factor B with a sample of n=8 in each treatment condition, what are the df values for the F-factor for the A * B (A multiplied by B) interaction?An automotive engineer is investigating two different types of metering devices for an electronic fuel injection system to determine whether they differ in their fuel mileage performance. The system is installed on 10 different cars, and a test is run with each metering device on each car. The data is provided below: Metering Device Car 1 2 1 17.6 16.8 2 19.4 20.0 3 18.2 17.6 4 17.1 16.4 5 15.3 16.0 6 15.9 15.9 7 16.3 16.5 8 18.0 18.4 9 17.3 16.4 10 19.1 20.1 Is there a significant difference between the means of the two metering devices? Use . Interpret the result in the context of the problem. An article in the journal Hazardous Waste and Hazardous Materials (Vol. 6, 1989) reported the results of an analysis of the weight of calcium in standard cement and cement doped with lead. Reduced levels of calcium would indicate that the hydration mechanism in the cement is blocked…
- If there were something genetic that made people simultaneously more susceptible to both smoking and lung cancer, that would be instance of A)causation B) the placebo effect C ) confounding D) common responseA well-known study of 22,000 male physicians was conducted to determine if taking aspirin daily reduces the chances of a heart attack. Half of the physicians were given a regular dose of aspirin while the other half was given placebos. Six years later, among those who took aspirin, 104 suffered heart attacks while among those who took placebos, 189 suffered heart attacks. Does it appear that the aspirin can reduce the number of heart attacks among the sample group that took aspirin? Use α = 0.05.A doctor would like to evaluate whether flu-frequency is different among patients of various ages. He groups his most recent 12 patients into four groups according to age (pediatric, young adult, older adult, senior), and counts the frequency of their flu-related visits. Below is his data. Test the hypothesis that flu frequency is different among pediatric, adult, older adult, and senior patients using an alpha level of .01. Pediatric. Young Adult. Older Adult. Senior 6 2 4 7 4 1 0 9 5 0 0 12 a. What test is appropriate? b. State your null hypothesis: c. State your alternative hypothesis. d. Find the critical value:…