- A study was conducted using 39 undergraduates at a large private university who volunteered to participate in the research as partial fulfillment of a course requirement. One of the items studied was the maximum daily amount of alcohol consumed in the last month. Based on the data in the following table, is there a difference between males and females in the maximum amount of alcohol consumed in any one day in the past month? Use α = 0.05 and assume that the population variances are equal.
Group
|
Mean ()
|
Standard Deviation (s)
|
Size of Sample (n)
|
Males
|
8.2
|
5.9
|
17
|
Females
|
5.6
|
5.7
|
22
|
- During the Saint Louis University Foundation Day, the Director of Physical Education recorded the mean height of 37 male students who showed average participation was 70.3 inches with inches, while 32 male students who showed no interest in participation had a mean height of 69.1 inches with inches. Is the director justified that male students who showed average participation during the foundation day are taller than the other male students who showed no interest in participation? Assume that the height is normally distributed.
- A statistics instructor would like to know whether it is worthwhile to require students to do weekly homework assignments. For one section of the statistics course, homework is assigned, collected and graded each week. For another section, the same problems are suggested each week, but the students are not required to turn in their homework. At the end of the semester, all students take the same final exam. The score distribution for the two sections are as follows:
With Homework 12 15 17 5 10
No Homework 12 21 28 25 14
Do these data indicate a significant difference between the score distributions for students with homework versus students with no homework? Test at the 5% level of significance.
Extracted text: 5. A study was conducted using 39 undergraduates at a large private university who volunteered to participate in the research as partial fulfillment of a course requirement. One of the items studied was the maximum daily amount of alcohol consumed in the last month. Based on the data in the following table, is there a difference between males and females in the maximum amount of alcohol consumed in any one day in the past month? Use a = 0.05 and assume that the population variances are equal. Group Standard Size of Mean (*) Deviation (s) Sample (n) Males 8.2 5.9 17 Female 5.6 5.7 22 6. During the Saint Louis University Foundation Day, the Director of Physical Education recorded the mean height of 37 male students who showed average participation was 70.3 inches with o = 2.2 inches, while 32 male students who showed no interest in participation had a mean height of 69.1 inches with o = 2.9 inches. Is the director justified that malestudents who showed average participation during the foundation day are taller than the other male students who showed no interest in participation? Assume that the height is normally distributed. 7. A statistics instructor would like to know whether it is worthwhile to require students to do weekly homework assignments. For one section of the statistics course, homework is assigned, collected and graded each week. For another section, the same problems are suggested each week, but the students are not required to turn in their homework. At the end of the semester, all students take the same final exam. The score distribution for the two sections are as follows: With Homework a No Homeworkmml? 15 17 5 10 21 28 25 14 Do these data indicate a significant difference between the score distributions for students with homework versus students with no homework? Test at the 5% level of significance.
Extracted text: 5. A study was conducted using 39 undergraduates at a large private university who volunteered to participate in the research as partial fulfillment of a course requirement. One of the items studied was the maximum daily amount of alcohol consumed in the last month. Based on the data in the following table, is there a difference between males and females in the maximum amount of alcohol consumed in any one day in the past month? Use a = 0.05 and assume that the population variances are equal. Group Standard Size of Mean (*) Deviation (s) Sample (n) Males 8.2 5.9 17 Female 5.6 5.7 22 6. During the Saint Louis University Foundation Day, the Director of Physical Education recorded the mean height of 37 male students who showed average participation was 70.3 inches with o = 2.2 inches, while 32 male students who showed no interest in participation had a mean height of 69.1 inches with o = 2.9 inches. Is the director justified that malestudents who showed average participation during the foundation day are taller than the other male students who showed no interest in participation? Assume that the height is normally distributed. 7. A statistics instructor would like to know whether it is worthwhile to require students to do weekly homework assignments. For one section of the statistics course, homework is assigned, collected and graded each week. For another section, the same problems are suggested each week, but the students are not required to turn in their homework. At the end of the semester, all students take the same final exam. The score distribution for the two sections are as follows: With Homework a No Homeworkmml? 15 17 5 10 21 28 25 14 Do these data indicate a significant difference between the score distributions for students with homework versus students with no homework? Test at the 5% level of significance.