A professor claims that students who have faster typing speed (in words per minute) tend to have higher scores in his quizzes. To verify if there is indeed a positive linear association between the two, he randomly selected 30 of his students and computed the sample correlation coefficient as 0.3234. Which of the following statement(s) is(are) TRUE? 1. There is a positive weak linear O association between the typing speed and quiz scores. O II. Faster typing speed results to higher scores in quizzes. Both Land II
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- Which of the following Python methods in scipy.stats submodule returns the P-value for performing a hypothesis test for the significance of the correlation coefficient? Select one. Question 2 options: pearson from scipy module pearsonr from scipy module pearson from pandas module pearsonr from pandas moduleConsider the following datax -5 -4 -3 -2 -1 0 1 2 3 4 5Y - 125 - 64 - 27 -8 -1 0 1 8 27 64 125a. Calculate the correlation between x and y, and perform a hypothesis test to determine if the correlation is significantly greater than zero. Use a significance level of 5%.b. Are you willing to conclude that there is a strong linear association between the two variables? Use at least one graph to support your answer, and to explain why or why not.A group of high-risk automobile drivers (with three moving violations in one year) are required, according to random assignment, either to attend a traffic school or to perform supervised volunteer work. During the subsequent five-year period, these same drivers were cited for the following number of moving violations: NUMBER OF MOVING VIOLATIONS TRAFFIC SCHOOL VOLUNTEER WORK 0 26 0 7 15 4 9 1 7 1 0 14 2 6 23 10 7 8 Why might the Mann–Whitney U test be preferred to the t test for these data? Use U to test the null hypothesis at the .05 level of significance. Specify the approximate p-value for this test result.
- The following data show the number of class sessions missed during a semester of SOC221 and the final grade for a sample of 8 students selected at random. Number of Sessions Missed Final Grade (x) (y) 0 96 2 88 12 68 6 91 8…A study was performed on 200 elementary school students to investigate whether regular Vitamin A supplementation was effective in preventing colds during the month of March. 100 were randomized to receive daily Vitamin A supplements during the month of March, and 100 students were randomized to a placebo group (and did not receive Vitamin A) during the same month. The number of students getting at least one cold in March was computed in the two groups, and the results are given in the following 2 X 2 table. Using a 5% level of significance determine whether there is an association between Vitamin A supplementation and prevention of Common Cold ColdNo Cold Vitamin A1585100 Placebo2575100 40160200In a study of a group of women science majors who remained in their profession and a group who left their profession within a few months of graduation, the researchers collected the data shown here on a self-esteem questionnaire. Leavers Stayers1 = 3.05 2 = 2.92σ1 = 0.71 σ2 = 0.71n1 = 100 n2 = 227At α = 0.05, can it be concluded that there is a difference in the self-esteem scores of the two groups? Use the P-value method.
- An electrical engineer wishes to determine if, among two specific municipal buildings in town, Building “North” and Building “South”, whether the tensile strength of pipes (in psi) is not the same in each of these two buildings. A sample of pipes was chosen at random from both Building “North” and Building “South”, respectively. Using α = 0.05, which of the following statistical test, or parameter, would be best for determining whether tensile strength of pipes (in psi) is not the same in each of these two buildings? (Assume all statistical assumptions met.) a) Binomial Distribution b) Population Difference in Means (i.e., Unpaired Data) c) The Chi-Squared Test of Independence d) Population Mean Difference (i.e., Paired Data)From the analysis of wages paid to employees in two service organizations X and Y, the following were obtained: Organization X Organization YNumber of wage earners 550 650Average monthly earnings 5,000 4,500Variance of the distribution of wages 900 1600 (i) Which organization pays a larger amount as monthly wages? (ii) In which organization is there greater variability in individual wages of all the wage earners taken together?If a researcher obtains a sample mean of M= 54, from a population with u = 46. With a given alpha, which combination of factors is most likely to result in rejecting the null hypothesis?
- (a) Is a sample correlation coefficient ρ = 0.83 significant at the α = 0.01 level based on a sample size of n = 4 data pairs? What about n = 14 data pairs? (Select all that apply.) Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 4 and α = 0.01. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 14 and α = 0.01. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 4 and α = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 14 and α = 0.01. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 14 and α = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n =…A high school is proud of its advanced chemistry class, in which its 16 students scored an average of 89.3 on the statewide exam, with s = 9. a. Test the null hypothesis that the advanced class is just a random selection from the state population (μ = 84.7), using alpha = .05 (two-tailed). b. Test the same hypothesis at the .01 level (two-tailed).Suppose a research study uses two independent groups with 21 individuals in each group. If a t-test analysis produces a calculated value of t of 1.68, which of the following is the correct decision?A. At the .05 level of significance, reject the null hypothesisB. At the .01 level of significance, reject the null hypothesisC. At the .05 level of significance, fail to reject the null hypothesisD. Impossible to answer without additional information