If this is your data set, you are allowed to choose among the following 5 alpha levels. 0.03 0.008 0.11 0.07 0.45 Choose 1 to use in your assignment. Element EE_11879 EE_9053 EE_19468 EE_22386 EE_8786 EE_21996 EE_28489 EE_23295 EE_21757 EE_24784 EE_5265 EE_17991 EE_20184 EE_27734 EE_21107 EE_16500 EE_12321 EE_26043 EE_7000 EE_9438 EE_19301 EE_26444 EE_6601 EE_24986 EE_18570 EE_5471 EE_14878 EE_16074 EE_5218 EE_21425 EE_19488 EE_26877 EE_21508 EE_18894 EE_25044 Gender OWL 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 FOX . . 1.8 1.7 2.2 2.6 2.8 3 3.2 3.3 3.3 3.5 3.9 3.9 4.1 4.1 4.1 4.2 4.3 4.3 4.3 4.3 4.5 4.5 4.7 4.7 4.8 4.8 4.9 5.1 5.4 5.4 5.5 5.7 5.7 5.6 1.3 3.4 5 3.100 1.7 1.1 2.8 2.6 4.4 5.4 4.3 2.8 3.8 3.5 5.1 4.1 4.3 1.5 2.9 2.3 3.2 2.2 2.4 3.8 4.1 1.8 . LION 2.6 2.3 3.5 4.9 2.1 4.7 2.7 1.9 1.5 2.9 3.1 4.2 2.2 1.7 3.4 3.4 1.5 3.3 4.2 2.7 2.2 2.8 3.1 4.7 . 3.5 3 1.1 1 2.9 2.5 2.1 . 3.1 2.8 . 3.8 3.7 . 2.8 . 3.3 4 1.2 4.8 4.8 2.4 4.5 4 . 1.6 4.1 4.6 2.7 3.6 3.6 3.8 SEAL 2.7 3.4 5.2 3.4 3 2.9 3.8 MAN . . . . . 3.8 . . 4.8 . 1.6 . 2.1 . . . 1.5 . . . . . . 1.1 1.5 4.5 3.5 4.9 2.7 1.8 4.5 4.4 3.7 4.4 3.3 3.8 . . 1.3 . . . . . 1.1 . . 2.8 looking ranking 2 1 1 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 Description The questions in this section are about testing different kinds of hypotheses on your data set. Please make sure you have selected the correct data set. These questions are for DATA SET 2. From this point on you must use an alpha = 0.03. For the analysis of variance you must use the variable OWL and for the regression use FOX as the dependent variable and SEAL as the independent variable Excel also provided to help answer questions Question 1: All of the comparison of means basically use the same hypothesis. Which of the following is the correct hypothesis for these tests? Question 1 options: H0: x1 x2 = Ha: x1 x2 H0: x1 x2 = H0: 1 = 2 H0: 1 2 = D0 H0: x1 x2 Ha: 1 2 Ha: 1 2 D0 Question 2: What are the means for the two gender groups on the OWL variable? Question 2 options: Gender 1 = 3.64 Gender 2 = 4.48 Gender 1 = 4.82 Gender 2 = 3.43 Gender 1 = 3.06 Gender 2 = 4.55 Gender 1 = 3.17 Gender 2 = 4.83 Gender 1 = 4.5 Gender 2 = 3.02 Gender 1 = 3.0 Gender 2 = 4.61 Cannot be calculated Question 3: What is the observed value of the test statistic for the variable OWL? Question 3options: z = -2.21 t = -7.69 Cannot be calculated t = 6.16 t = - 3.08 t = 4.99 t = -7.05 t = -6.31 F = 5.43 Question 4: Do you reject the null hypothesis that the means for the variable OWL for the two groups created using the Gender variable come from the same population? Question 4 options: Yes No Not Applicable - Cannot be calculated Question 6 (1 point) What are the means for the two gender groups on the SEAL variable? Question 6 options: Gender 1 = 3.17 Gender 2 =3.34 Gender 1 = 3.24 Gender 2 = 3.63 Gender 1 = 3.13 Gender 2 = 2.80 Cannot be calculated Gender 1 =3.08 Gender 2 =3.37 Gender 1 = 3.90 Gender 2 =3.49 Gender 1 = 2.96 Gender 2 = 3.19 Save Question 7 (1 point) What is the observed value of the test statistic for the variable SEAL? Question 7 options: t = 1.07 z = -2.21 t = -0.97 F = 5.43 t =-0.68 t =-0.78 t = -0.50 Cannot be calculated t = 0.82 Save Question 8 (1 point) Do you reject the null hypothesis that the means for the variable SEAL for the two groups created using the Gender variable come from the same population? Question 8 options: Yes No Not Applicable - Cannot be calculated. Save Question 9 (1 point) What are the means for the two gender groups on the MAN variable? Question 9 options: Gender 1 = 2.76 Gender 2 = 1.58 Gender 1 = 3.66 Gender 2 = 3.57 Gender 1 = 3.21 Gender 2 = 3.71 Gender 1 = 3.20 Gender 2 =2.94 Gender 1 = 3.60 Gender 2 = 2.83 Gender 1 = 3.07 Gender 2 =2.90 Cannot be calculated Save Question 10 (1 point) What is the p-value for the test of difference between the means of variable MAN in your data set? Question 10 options: p-value = 0.082 p-value = 0.715 p-value = 0.085 p-value = 0.429 p-value = 0.894 p-value = 0.149 p-value = 0.195 p-value = 0.757 Cannot be calculated Save Question 11 (1 point) Do you reject the null hypothesis that the means for the variable MAN for the two groups created using the Gender variable come from the same population? Question 11 options: Yes No Not Applicable - Cannot be calculated. Question 12 (1 point Please use the OWL variable for the remaining ANOVA analyses. What is the sum of squares due to treatment for the ANOVA of OWL grouped by rank? Question 12 options: SSTR =19.52 SSTR =6.52 SSTR = 28.09 SSTR =30.59 SSTR=28.26 SSTR =6.24 Question 13 (1 point) In this ANOVA, what is the value of the parameter "k". Question 13 options: 1 2 3 4 5 6 Cannot be calculated. Question 14 (1 point) What is the observed value of the test statistic? Question 14 options: F=76.18 F=98.71 F=5.39 t=12.32 F=94.45 F=5.52 Cannot be calculated. F=16.37 Question 15 (1 point) The p-value for the test statistic in this ANOVA is...? Question 15 options: p-value = 0.01 p-value = 0.12 p-value= .002 p-value 0.001 Cannot be calculated Save Question 16 (1 point) Based on the analysis you just completed, which of the following is true? Question 16 options: Cannot be calculated I cannot reject the null hypothesis that all means come from the same population I accept the alternative hypothesis that the two means come from the same population. I accept the alternative hypothesis that at least one mean comes from a population different from the other means. I accept the null hypothesis that all means come from the same population. I reject the null hypothesis because each mean comes from a different population. Question 17 (1 point) This set of questions requires the calculation of a Chi-Square. Please do this by hand since the calculation in PSPP (or SPSS) are not consistent with what was taught in class. What is the hypothesis being tested when we determine if two variables are independent? Question 17 options: H0: The means of two variables Look and Gender are equal. Ha: The means of two variables Look and Gender are NOT equal. H0: The two variables Look and Gender are independent. Ha: The two variables Look and Gender are NOT independent. H0: The two variables Look and Gender are NOT independent. Ha: The two variables Look and Gender are independent. H0: The proportions of two variables Look and Gender are equal. Ha: The proportions of two variables Look and Gender are NOT equal. Save Question 18 (1 point) The observed value for the test statistic in this case is ... Question 18 options: cannot be calculated x2 = 0.0209 x2 = 0.051 x2 = 0.835 x2 = 0.0201 x2 = 1.83 x2 = 4.497 Question 19 (1 point) What conclusion do you draw based on this analysis? Question 19 options: We cannot reject the null hypothesis that these two variables are independent We can reject the null hypthesis. These two variables are not independent Values for this variable cannot be calculated. Question 20 (1 point) When doing a linear regression, what is the hypothesis being tested? Question 20 options: H0: y = y "hat" Ha: y not equal to y "hat" H0: y = mx + b Ha: y not equal to mx + b H0: beta1 = 0 Ha: beta1 not = 0 H0: epilson = 0 Ha: epilson not equal to 0 Question 21 (1 point) My analysis indicates that the largest relationship between two variables is the relationship between LION and OWL with a correlation of 0.42. For the remaining questions be sure to use that relationship where LION is the independent variable and OWL is the dependent variable. What is the Sum of Squares due to the regression for this analysis? Question 21 options: SSR = 8.66 SSR = 15.43 SSR = 10.34 SSR = 5.21 SSR = 4.19 SSR = 7.61 Question 22 (1 point) What does the value of y"hat" measure Question 22 options: The error variance in the variable y The mean of the y distribution. The predicted value of x based on y. The predicted value of y based on x. Question 23 (1 point) What is the observed value of the test statistic in your analysis? Question 23 options: F = 41.58 F = 10.56 x2 = 8.643 F = 14.76 F = 10.03 F = 6.37 F = 5.25 Cannot be calculated Question 24 (1 point) Given the regression model that you calculated, which of the following best reflects your results? Question 24 options: We DO NOT reject the null hypothesis and cannot conclude that beta 1 is not equal to 0. This means that there is a no significant relationship between the two varialbles We reject the null hypothesis and conclude that beta 1 is not equal to 0. This means that the independent variable is clearly the cause of the dependent variable. We reject the null hypothesis and conclude that beta 1 is not equal to 0. This means that there is a significant relationship between the two varialbles We cannot draw any conclusions about the alternative hypothesis