1. Use the following methods to test Hoμ₁ = μ2 versus H₁ μ₁ μ2 for the data in worksheet 9.1 of the Excel data file: a. Tukey's Quick Test b. A boxplot slippage test c. The two-sample t test d. The Mann-Whitney test (use Stat> Nonparametrics> Mann-Whitney) x1 x2 13 18 19 19 11 18 14 15 8 20 18 16 16 15 21
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- 2. Use the following methods to test Hoμ₁ = μ2 versus H₁ µ₁ µ₂ for the data in worksheet 9.2 of the Excel data file: a. Tukey's Quick Test b. A boxplot slippage test c. The two-sample t test d. The Mann-Whitney testAn experiment was conducted to determine the effect of machining factors on ceramicstrength. Two levels of table speed (slow and fast), two directions (longitudinal and transverse) and two levelsof wheel grit (I and II) were identified by the researcher. The experiment was replicated three times and thestrength of each randomly selected ceramic was obtained. The ANOVA table of the results of the analysis areas follows. 1. Refer to the ANOVA table at a=0.01, what is the conclusion for testing significance in 3-way interaction Reject/Fail to Reject Ho 2. If sequential test of hypothesis is performed the following are (True or False)? a. All 2-way interaction effects are going to be tested b. All main effects are going to be tested 3. What combination of effects will result to a significant result at a=0.01 if should all test are going to be performed among the main effects and two way interactions? (choose 1pair/combination: direction, wheel grit, speed)Mrs. Paul wants to test that claim that, on average, her students average mark is 85. She pulls therecords of 100 of per past students over a three-year period. The grades inputted into MINITABfor analysis. Exhibit 1 below shows the results of an analysis carried out on the data obtained. Exhibit 1 One-Sample Z: Level I/IITest of mu = 85 vs mu not = 85The assumed sigma = 15.0 Variable N Mean StDev SEMean Z PStudents Score 100 75.4 12.99 * ** *** i. Calculate the SEMean ii. Construct a 98% confidence interval for the population scores of Mrs. Paul’s students.iii. State the null and alternate hypothesis for this test. iv. Calculate the missing value ** and use tables to approximate the value of ***.v. Using a 1% level of significance, state the decision criteria for this test…
- If Elliot collects data from a single sample and her dependent variable is assessed on a nominal scale, which of these difference tests would Elliot need to use to analyze her data? a. single sample t test b. between-subjects, one-way ANOVA. c. chi square goodness of fit test d. single-sample z testMrs. Paul wants to test that claim that, on average, her students average mark is 85. She pulls therecords of 100 of per past students over a three-year period. The grades inputted into MINITABfor analysis. Exhibit 1 below shows the results of an analysis carried out on the data obtained. Exhibit 1 One-Sample Z: Level I/II Test of mu = 85 vs mu not = 85The assumed sigma = 15.0 Variable N Mean StDev SE Mean Z PStudents Score 100 75.4 12.99 * ** *** i. Calculate the missing value ** and use tables to approximate the value of ***.ii. Using a 1% level of significance, state the decision criteria for this test iii. State the conclusion for the test and whyproduce a CROSSTAB for the variables SEX and FEFAM. Examine the relationship between these variables by testing both statistical significance and strength of association. Use chi-square for significance and choose the appropriate measures for strength of association (Phi, Cramer’s V, Lambda, or Gamma). Set alpha to .05. State the null and research hypotheses: H0: H1: What is the obtained chi-square value? What is the significance level (p-value) for the obtained chi-square? Should we reject or fail to reject the null hypothesis? Is there a statistically significant relationship between these variables? Which measure of association would be most appropriate for these variables? What is the value of the measure of association? Interpret your findings by explaining in full sentences whether there is a statistically significant relationship or not and the strength of the relationship. Also explain any patterns you see in the percentages:
- A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =Please show me your solutions and interpretations. Show the completehypothesis-testing procedure.A manufacturing company produces bearings. One line of bearings is specified to be 1.64 centimeters (cm) in diameter. A major customer requires that the variance of the bearings be no more than 0.001 cm2. The producer is required to test the bearings before they are shipped, and so the diameters of 16 bearings are measured with a precise instrument, resulting in the following values:1.69 1.62 1.63 1.70 1.66 1.63 1.65 1.71 1.64 1.69 1.57 1.64 1.59 1.66 1.63 1.65Assume bearing diameters are normally distributed. Use the data and α = 0.025 to test the data to determine whether the population of these bearings is to be rejected because of too high variance.Mrs. Paul wants to test that claim that, on average, her students average mark is 85. She pulls therecords of 100 of per past students over a three-year period. The grades inputted into MINITABfor analysis. Exhibit 1 below shows the results of an analysis carried out on the data obtained.Exhibit 1One-Sample Z: Level I/IITest of mu = 85 vs mu not = 85The assumed sigma = 15.0 Variable N Mean StDev SE Mean Z PStudents Score 100 75.4 12.99 * ** *iv. Calculate the missing value ** and use tables to approximate the value of ***.v. Using a 1% level of significance, state the decision criteria for this test vi. State the conclusion for the test and why
- Mrs. Paul wants to test that claim that, on average, her students average mark is 85. She pulls therecords of 100 of per past students over a three-year period. The grades inputted into MINITABfor analysis. Exhibit 1 below shows the results of an analysis carried out on the data obtained.Exhibit 1One-Sample Z: Level I/IITest of mu = 85 vs mu not = 85The assumed sigma = 15.0 Variable N Mean StDev SE Mean Z P Students Score 100 75.4 12.99 * ** ***i. Calculate the SEMeanii. Construct a 98% confidence interval for the population scores of Mrs. Paul’s students.iii. State the null and alternate hypothesis for this test.iv. Calculate the missing value ** and use tables to approximate the value of ***v. Using a 1% level of significance, state the decision criteria for this test vi. State the conclusion for the test and why1. Use the following methods to test Hoμ₁ = μ2 versus Hд μ₁ μ2 for the data in worksheet 9.1 of the Excel data file: a. Tukey's Quick Test b. A boxplot slippage test c. The two-sample t test d. The Mann-Whitney test (use Stat> Nonparametrics> Mann-Whitney)A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 52 men and 79 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women Mean N StDev SE Mean Men Women 98% Cl for mu Men - mu Women (- 11.45, - 0.75) T-Test mu Men = mu Women (vs H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.02. What is the P-value? P-value =