QUESTION 1 An experiment consists of classifying patients arriving at the COVID-19 Prime Assessment Center by recording the severity of symptoms; asymptomatic (0), Mild (1), Moderate (2), or Severe (3), then the gender of the case; Male (M) or Female (F). The sample space of the experiment will be: OS={M, F, 0, 1, 2, 3) OS={OM, OF, 1M, 1F, 2M, 2F, 3M, 3F} OS=(MF, 0123} OS (MO, M1, M2, M3, FO, F1, F2, F3}

A paint company has large outlet stores in two cities. Ten samples of the weekly sales (in tons) for the two cities are as follows. City A: n = 10, X10 = 148.5, S1 = = 4.3. City B: n = 10, Y 10 = 144.2, S2 = 3.8. At a = 0.05 level of significance, test if the weekly sales are different. The following ¨answers" have been proposed. (a) The null hypothesis is that the weekly sales are the same and the alternative is that the they are not the same. By using an F test, we reject the null hypothesis. (b) The null hypothesis is that the weekly sales are the same and the alternative is that the they are not the same. By using an F test, we do not reject the null hypothesis. (c) The null hypothesis is that the weekly sales are the same and the alternative is that the they are not the same. By using a i test, we do not reject the null hypothesis. (d) The null hypothesis is that the weekly sales are the same and the alternative is that the they are not the same. By using a i test, we reject the…

Polyunsaturated fatty acids in the diet favorably affect several risk factors for cardiovascular disease.  The principal dietary polyunsaturated fat is linoleic acid.  Suppose we randomly selected twelve adults for our study.  We took their blood pressure measurements (systolic blood pressure) at the start and recorded them for each adult.  Then we placed required these adults to consume 23g/day of safflower oil which is high in linoleic acid for four weeks.  At the end of the four weeks, we took another systolic blood pressure(SBP) measurement.  The paired data is provided below: Subject 1 2 3 4 5 6 7 8 9 10 11 12 Baseline SBP 119.67 100.00 123.56 109.89 96.22 133.33 115.78 126.39 122.78 117.44 111.33 92.39 1-month SBP 117.33 98.78 123.83 107.67 95.67 128.89 113.22 121.56 126.33 110.39 107.00 93.06 Use the appropriate nonparametric test at alpha level of 0.05, to test whether the diet heavy in linoleic acid increases systolic blood pressure (SBP).     Use Steps 0-5

A researcher wants to examine the effect of daily mental exercises on cognitive performance of people in early stages of Alzheimer's disease. She enrolled to her study n = 16 patients diagnosed with the early stage of Alzheimer's disease and all participants conducted daily mental exercises for a month. At the end of the program all enrolled patients took the MMSE test (i.e., Mini-Mental State Examination). The results show that the sample mean on the MMSE test was M = 23.6  with the standard deviation, s = 7. It is known that the MMSE mean in the population of patients with early Alzheimer's disease is µ = 20. Do these data show a significant effect of daily mental exercises on cognitive performance in early stages of Alzheimer's disease?

Here is the scenario for your Between Subjects Independent One Way ANOVA: Dr. Xena is interested in determine which type of therapy best helps persons with bipolar depression.  She gathers a random and representative sample of men and women ages 18-95 years of age who have a diagnosis of Bipolar Depression who are taking Lithium for at least 6 months.  She randomly assigns participants to conditions and measures well being scores after 4 months of therapy.  Well being scores range from 0-100, with 100 being high well-being (feel good and experiencing no mood swings).  Here is the data: Cognitive Therapy                                        EMDR   Therapy                                   Psychoanalytical Therapy       15                                                                               72                                                                      28 78                                                                                91…

PETROGAS is testing new filters for its motorbikes. One brand of filter (Filter A) is placed in one motorbike, and the other brand (Filter B) is placed in the second motorbike. Random samples of air released from the motorbikes are taken at different times throughout the day. Pollutant concentrations are measured for both motorbikes at the same time. The following data attached represent the pollutant concentrations (in parts per million) for samples taken at 20 different times after passing through the filters. a. Test the hypothesis that the mean for the pollutant concentration for Filter B is greater than 30. Use the 1% level of significance. b. Construct a 95% confidence interval for the difference in mean pollutant concentration, where a difference is equal to the pollutant concentration passing through Filter A minus the passing through Filter B. c. Using the 5% significance level, determine whether there is evidence that mean for the pollutant concentration for Filter A…

The authors of the paper "Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement"† compared two different instruments for measuring a person's ability to breathe out air. (This measurement is helpful in diagnosing various lung disorders.) The two instruments considered were a Wright peak flow meter and a mini-Wright peak flow meter. Seventeen people participated in the study, and for each person air flow was measured once using the Wright meter and once using the mini-Wright meter.   Subject Mini-WrightMeter WrightMeter Subject Mini-WrightMeter WrightMeter 1 512 494 10 445 433 2 430 395 11 432 417 3 520 516 12 626 656 4 428 434 13 260 267 5 500 476 14 477 478 6 600 557 15 259 178 7 364 413 16 350 423 8 380 442 17 451 427 9 658 650         (a) Suppose that the Wright meter is considered to provide a better measure of air flow, but the mini-Wright meter is easier to transport and to use. If the two types of meters produce…