In one-way ANOVA, suppose that there are three treatments with n1 = 5, n2 = 6, and n3 = 5. What is the rejection region for this test at the 5% level of significance? a. F > 3.81 b. F > 3.24 c. F > 4.08 d. F > 3.63
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- For the Kruskal-Wallis ANOVA: Is there a statistical difference between the rankings of the core temperatures of the groups exposed to either a cold, neutral, or hot environment? (smaller number= coldest core temperature ranking, largest number= hottest core temperature ranking).” Ranks that are tied, get an average value of the two ranks. The Data is attached. Thank you.Is the proportion of wildfires caused by humans in the south different from the proportion of wildfires caused by humans in the west? 394 of the 533 randomly selected wildfires looked at in the south were caused by humans while 388 of the 554 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the = 0.01 level of significance? For this study, we should use Select an answer z-test for the difference between two population proportions t-test for the difference between two dependent population means z-test for a population proportion t-test for the difference between two independent population means t-test for a population mean The null and alternative hypotheses would be: Select an answer p1 μ1 Select an answer > ≠ < = Select an answer μ2 p2 (please enter a decimal) Select an answer p1 μ1 Select an answer > = < ≠ Select an answer p2 μ2 (Please enter a decimal) The test statistic ? z t = (please show your…2. 18 people were tested in three different conditions designed to stimulate creativity. Is there any difference in a person's creativity score based on condition? Condition 1 Condition 2 Condition 3 14 21 14 15 9. 24 20 15 16 14 11 15 EX? = 5130 17 15 15 17 19 14 Critical Value= 3.68 Solve for the appropriate test statistic(s). Fill out a completed ANOVA Table on the answer sheet
- An educational psychologist is examining response times to an on-screen stimulus. The researcher believes there might be a weak effect from age, but expects a more pronounced effect for different color contrasts. She decides to examine a black on white (B/W) combination compared to 2 alternatives: red on white (R/W) and yellow on blue (Y/B). Here is the data for response times (in milliseconds): Color Scheme B/W R/W Y/B 10 17 23 26 44 44 22 21 25 22 21 4 16-17 11 32 34 31 24 20 16 20 21 36 8 8 24 37 23 11 39 36 23 17 28 32 36 31 Age 18-19 19 15 45 15 35 36 13 47 23 16 19 31 24 30 25 16 40 16 27 25 42 23 28 35 20-21 21 18 42 27 19 39 39 28 27 18 26 38 Using MS Excel, conduct a 2-way ANOVA with a = 0.05. Fill in the summary table. The last column in the table below is read as, "Partial Eta-squared " and is a concept that was NOT covered in the lectures. Partial n2 is used when there is a chance the data is not independent (click here to read more if interested 2) Computing the values for…P-values should be accurate to 4 decimal places and all other values accurate to 3 decimal places. Source S df MS F-ratio P-value Partial n? Age (A) 2 Color (B) Interaction (A × B) 4 Error 63 Provide the conclusions for this 2-way ANOVA. What is the conclusion regarding the main effect for age (A or rows): O There appears to be an effect due to age. O There is not enough evidence to reject the assumption that the marginal means across age groups are equal. What is the conclusion regarding the main effect for color (B or columns): There appears to be an effect due to color. There is not enough evidence to reject the assumption that the marginal means across color groups are equal. What is the conclusion regarding an interaction effect between age and color (A x B): There appears to be an interaction effect between age and color. There is not enough evidence to reject the assumption of a lack of an interaction.The ANOVA table of the above data is as follows: ANOVA Source of Variation SS df MS 2.083 P-value Factor A J 1 0.725 Marketing startegies 0.750 1 0.750 0.832 Interaction 90.750 K 90.750 0.043 Within 125.333 15.667 Total 218.917 10. Calculate J and L 11. State HO and H1 hypotheses of interaction effect based on the above problem. 12. At a = 0.1, is there any significant effect? What is your decision? Support your answer. 13. What is your conclusion?
- You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly more than 0.15. You use a significance level of a = 0.01. Но:р — 0.15 H1:p > 0.15 You obtain a sample of size n 137 in which there are 28 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is.. less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that. O There is sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is more than 0.15. O There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is more than 0.15. The sample data support…Life Expectancies Is there a relationship between the life expectancy for men and the life expectancy for women in a given country? A random sample of nonindustrialized countries was selected, and the life expectancy in years is listed for both men and women. Are the variables linearly related? Men 53.8 68.6 47.8 54.2 66.9 57.7 Women 47.4 72.7 48.3 44.6 77.0 58.1 Send data to Excel Part 1 of 5 Your Answer is correct (a) Draw the scatter plot for the variables. Life Expectancies Women y 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 x 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 0 Men Part: 1 / 5 1 of 5 Parts Complete Part 2 of 5 (b) Compute the value of the correlation coefficient. Round your answer to at least three decimal places. r=?To test a null hypothesis the 5 % level of significance is chosen, if the test is a left tailed test then the size of the critical region on the right tail will be Select one: O a. 0.025 ОБ. 0.005 O c. NONE O d. 0.0
- Which best illustrates the distinction between statistical significance and practical importance? Multiple Choice "This year, 360 of 440 statistics students at Oxnard Technical College rented their textbooks, compared with 110 of 330 students last year. This is a significant increase." "Our new manufacturing technique has increased the life of the 80 GB USB AsimoDrive external hard disk significantly, from 240,000 hours to 250,000 hours." "In 50,000 births, the new vaccine reduced the incidence of infant mortality in Morrovia significantly from 14.2 deaths per 1000 births to 10.3 deaths per 1000 births." "The new Sky Penetrator IV business jet’s cruising range has increased significantly from 3,975 miles to 4,000 miles."A test was conducted on the differences in academic performance of three groups of students subjected to different teaching strategies. Below is the ANOVA table of the results of data analysis. Source F- MS Ratio critical value F- P- of df SS variation Among 3 2100 MST groups ??? 3.18 0.036 Within 45 10000 MSE groupIt is hypothesized that 40% of the youth in a city are favour of lower legal drinking age. Out of 500 youth interviewed, 210 are in favour. Is there a significant difference between the youth who favour lower legal drinking age from the 40%? Use the z-test on any value of a population proportion and 0.01 level of significance and the critical value of +/-2.33.