1. The length of time from the initial exposure to HIV infection to the diagnosis of AIDS is termed as the incubation period. An arbitrary dataset for the incubation period of a random selection of 8 HIV infected patients is presented in the table below: 12.5 11.0 Incubation period (in years) 10.0 6.8 14.0 13.0 7.7 10.8 Compute the appropriate measure(s) of central tendency and address its worthiness. b. Calculate the measure(s) of dispersion and discuss which measure is the most appropriate one and why? What will happen to the sample mean, median, standard deviation if a particular data point 6.8 above has adjusted to 1.5? Discuss whether it will increase, decrease, or remain С. the same.

A random sample of five observations from three normally distributed populations produced the following data: (You may find it useful to reference the F table.) (table is the screenshot picture) a. Calculate the grand mean. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) b. Calculate SSTR and MSTR. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) c. Calculate SSE and MSE. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.) d. Specify the competing hypotheses in order to determine whether some differences exist between the population means. _H0: μA = μB = μC; HA: Not all population means are equal. _H0: μA ≤ μB ≤ μC; HA: Not all population means are equal. _H0: μA ≥ μB ≥ μC; HA: Not all population means are equal.   e-1. Calculate the value of the F(df1, df2) test statistic. (Round intermediate calculations to at least 4 decimal…

Q3: From the below Table, answer the following questions: NO Age Gender Salary 1001 20 1002 1003 22 30 1004 25 1005 34 1006 35 1007 38 1008 35 1009 30 M F F M F M F M 280 300 450 310 320 340 350 500 450 1)Trimmed mean 5% of age variable= 2) Interquartile Range of salary variable = 3) Variance of age variable = 4) Mean of salary variable = 5) represent the Gender variable by pie chart, showing the frequencies on it.

Consider two sets of data, X and Y, with n = 10 observations each. If the mean ranks for X and Y are 6 and 5, respectively, what is the test statistic for the Wilcoxon Signed-Ranks test on these two sets of data?

9.15 HPV infections in women. Human papillomavirus (HPV) infection is the most common sexually transmitted infection. Certain types of HPV can cause genital warts in both men and women and cervical cancer in women. The U.S. National Health and Nutrition Examination Survey (NHANES) contacted a representative sample of 1921 women between the ages of 14 and 59 years and asked them to provide a self-collected vaginal swab specimen. Of these specimens, 515 tested positive for HPV, indicating a current HPV infection. a. Give the probability, risk, and odds that a randomly selected American woman between the ages of 14 and 59 years has a current HPV infection. b. The survey broke down the data by age group: Age group (years) 14–19 20-24 25–29 30–39 40-49 50–59 Percent HPV positive 24.5 44.8 27.4 27.5 25.2 19.6 Give the risk and the odds of being HPV positive for women in each age group. Which age group has the highest risk, and has the highest odds, of testing positive for HPV?

A particular paper included the accompanying data on the tar level of cigarettes smoked for a sample of male smokers who subsequently died of lung cancer. Assume it is reasonable to regard the sample as representative of male smokers who die of lung cancer. Is there convincing evidence that the proportion of male smoker lung cancer deaths is not the same for the four given tar level categories at the ? = .05 level? (Use 2 decimal places.) Tar Level Frequency 0-7 129 8-14 324 15-21 543 22 153 ?2 = P-value interval p < 0.0010.001 ≤ p < 0.01     0.01 ≤ p < 0.05 0.05 ≤ p < 0.10 p ≥ 0.10

4. 0 There is some indication that as countries' levels of literacy increases, authoritarian tendencies decline among the population. The following data show literacy (measured in number of literate people per 10 people) and authoritarian scores on a standard authoritarinaism- measuring scale from 8 countries. The data are: Xiiteracy : 9.2, 7.5, 8.8, 6.5, 4.3, 5.9, 9.7, 8.5 XAuth: 2.1, 3.4, 2.5, 7.3, 8.9, 5.7, 1.3, 2.5 Is there a reliable relationship between the two variables? If yes, what would the predicted authoritarian score of a country where only quarter of the country is literate? What about for a country where the literacy rate is %100? Use alpha = .05.

Dr. Maddan's eye drops are supposed to cause significant reduction is eye redness. The following table shows the results of a recent study where a random sample of individuals took part in a placebo controlled study. No Reduction in Redness Reduction in Redness Total Eye Drops 120 220 340 No Eye Drops Total 120 140 260 240 360 600 With 5% level of significance, determine if eye redness reduction is dependent upon taking the eye drops. Provide, a. the Chi-square statistic. b. the critical value or the p-value. c. Your decision on whether or not to reject Ho.

Suppose a researcher is interested in the effectiveness of a new novel talk therapy technique in reducing overall depression as identified via score report on the geriatric depression scale (GDS). In order to carry out this hypothesis, the researcher gathers a SRS of participants in the program and performs the GDS test prior to, and after initiation of the new therapy technique. Assume the SRS score report presented below represents an approximately normal distribution.   Participant GDS Score (Out of 15) Prior to intervention GDS Score (Out of 15) Following intervention A 12 8 B 13 7 C 12 7 D 14 9 E 11 6 F 11 7   A)  What type of study design is this? B)  Conduct a paired sample t test investigating the effectiveness of the new therapy technique with 95% confidence.  Write out your null and alternative hypotheses, and interpret your pvalue correctly. C)  Construct a 95% confidence interval representing the average difference…

Compute the mean and standard deviation of the time spent for studying andcurrent CGPA for male and female.