Please help me with these questions as I have been stuck for a while and need help. I will make sure we are both satisfied if I am satisfied. Go through my textbook if needed ( use keywords to find related stuff). Please solve it if you can
my textbook: https://docdro.id/yLjQcDT
Questions:

Question 5 Which of the following are appropriate representations of the null hypothesis in a one-way ANOVA with 4 groups? (There may be more than one that is appropriate; check all that are appropriate representations of the null hypothesis in one-way ANOVA with 4 groups, using the notation of our course.) Ja) Ho : /1 = 12 = 13 = HA Ob) Ho : M1 = 12 = /3 = /4 =0 O c) Ho : X1 = X2 = X3 = X4 = 0 O d) Ho : X1 = X2 = X3 = X4Question 6 Racz et al. {2015] investigated drowning deaths in South-West Hungary, and looked at a possible relationship between manner of death and gender of the victim. They found the following (the data has been slightly modified from the article). Males Females Suicide 4 11 Homicide 1 1 Accident 53 15 Suppose we wish to explore the possibility of a relationship between manner of death and gender by carrying out a chi-square test of independence. If we use R to carry out the calculations, we find: Pearson's Chi-squared test data: Drownings X-squared = 15.221. df = 2, p-value = 0.0004953 (Some of the expected counts [not shown) are rather small, and while that can be somewhat problematic for this type of test, ignore that issue for the purposes of this question.) Which of the following statements are true? There may be more than one correct statement; check all that are true. [_] a) One way of expressing the null hypothesis of the chi-square test is that there is no association between gender and manner of drowning. |:| bl The p-value in the output is the area to the right of 15.221 under a chi- square distribution with 2 degrees of freedom. [_] c) This type of chi-square test can sometimes have a negative value of the test statistic. [_] d) There is strong evidence of an association between manner of drowning and gender Question 7 25- ' M O I Time (Millions of Cycles) 8 a 01 I :3; I _|_ _'_ I I I _'_ - . I I I I II III IV Compound A study measured failure times (in millions of cycles} for turbine engine bearings made of 5 different compounds. There were 10 observations for each compound. The boxplots and ANOVA table illustrate the results. Df Sum Sq Mean Sq F value Pr(>Fl Compound 4 401.28 100.319 5.0202 0.00197 Residuals 45 899.24 19.983 (The "total" line is not included in this output.) Which of the following statements are true? There may be more than one correct statement; check all that are true. I: a) Had the "total" line been included in the ANOVA output, it would have had 49 degrees of freedom. [_] b) Compound V has the largest sample median failure time. Cl c) The p-value given in the output is the area to the right of 5.0202 under an F distribution with 4 and 45 degrees of freedom. l._.' d) There is strong evidence that not all of the compounds result in the same true mean failure time

Question

Please help me with these questions as I have been stuck for a while and need help. I will make sure we are both satisfied if I am satisfied. Go through my textbook if needed ( use keywords to find related stuff). Please solve it if you can

my textbook: https://docdro.id/yLjQcDT

Questions:

Question 5 Which of the following are appropriate representations of the null hypothesis in a one-way ANOVA with 4 groups? (There may be more than one that is appropriate; check all that are appropriate representations of the null hypothesis in one-way ANOVA with 4 groups, using the notation of our course.) Ja) Ho : /1 = 12 = 13 = HA Ob) Ho : M1 = 12 = /3 = /4 =0 O c) Ho : X1 = X2 = X3 = X4 = 0 O d) Ho : X1 = X2 = X3 = X4Question 6 Racz et al. {2015] investigated drowning deaths in South-West Hungary, and looked at a possible relationship between manner of death and gender of the victim. They found the following (the data has been slightly modified from the article). Males Females Suicide 4 11 Homicide 1 1 Accident 53 15 Suppose we wish to explore the possibility of a relationship between manner of death and gender by carrying out a chi-square test of independence. If we use R to carry out the calculations, we find: Pearson's Chi-squared test data: Drownings X-squared = 15.221. df = 2, p-value = 0.0004953 (Some of the expected counts [not shown) are rather small, and while that can be somewhat problematic for this type of test, ignore that issue for the purposes of this question.) Which of the following statements are true? There may be more than one correct statement; check all that are true. [_] a) One way of expressing the null hypothesis of the chi-square test is that there is no association between gender and manner of drowning. |:| bl The p-value in the output is the area to the right of 15.221 under a chi- square distribution with 2 degrees of freedom. [_] c) This type of chi-square test can sometimes have a negative value of the test statistic. [_] d) There is strong evidence of an association between manner of drowning and gender Question 7 25- ' M O I Time (Millions of Cycles) 8 a 01 I :3; I _|_ _'_ I I I _'_ - . I I I I II III IV Compound A study measured failure times (in millions of cycles} for turbine engine bearings made of 5 different compounds. There were 10 observations for each compound. The boxplots and ANOVA table illustrate the results. Df Sum Sq Mean Sq F value Pr(>Fl Compound 4 401.28 100.319 5.0202 0.00197 Residuals 45 899.24 19.983 (The "total" line is not included in this output.) Which of the following statements are true? There may be more than one correct statement; check all that are true. I: a) Had the "total" line been included in the ANOVA output, it would have had 49 degrees of freedom. [_] b) Compound V has the largest sample median failure time. Cl c) The p-value given in the output is the area to the right of 5.0202 under an F distribution with 4 and 45 degrees of freedom. l._.' d) There is strong evidence that not all of the compounds result in the same true mean failure time