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. GroupMean ()Standard Deviation (s)Size of Sample (n)Males8.25.917Females5.65.722 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 10No 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. 5. A study was conducted using 39 undergraduates at a large private university whovolunteered to participate in the research as partial fulfillment of a courserequirement. One of the items studied was the maximum daily amount of alcoholconsumed in the last month. Based on the data in the following table, is there adifference between males and females in the maximum amount of alcoholconsumed in any one day in the past month? Use a = 0.05 and assume that thepopulation variances are equal.GroupStandardSize ofMean (*)Deviation (s) Sample (n)Males8.25.917Female5.65.7226. During the Saint Louis University Foundation Day, the Director of Physical Educationrecorded the mean height of 37 male students who showed average participationwas 70.3 inches with o = 2.2 inches, while 32 male students who showed no interest inparticipation had a mean height of 69.1 inches with o = 2.9 inches. Is the directorjustified that malestudents who showed average participation during the foundationday 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 todo weekly homework assignments. For one section of the statistics course,homework is assigned, collected and graded each week. For another section, thesame problems are suggested each week, but the students are not required to turnin 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 aNo Homeworkmml?151751021282514Do these data indicate a significant difference between the score distributions forstudents with homework versus students with no homework? Test at the 5% level ofsignificance. 5. A study was conducted using 39 undergraduates at a large private university whovolunteered to participate in the research as partial fulfillment of a courserequirement. One of the items studied was the maximum daily amount of alcoholconsumed in the last month. Based on the data in the following table, is there adifference between males and females in the maximum amount of alcoholconsumed in any one day in the past month? Use a = 0.05 and assume that thepopulation variances are equal.GroupStandardSize ofMean (*)Deviation (s) Sample (n)Males8.25.917Female5.65.7226. During the Saint Louis University Foundation Day, the Director of Physical Educationrecorded the mean height of 37 male students who showed average participationwas 70.3 inches with o = 2.2 inches, while 32 male students who showed no interest inparticipation had a mean height of 69.1 inches with o = 2.9 inches. Is the directorjustified that malestudents who showed average participation during the foundationday 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 todo weekly homework assignments. For one section of the statistics course,homework is assigned, collected and graded each week. For another section, thesame problems are suggested each week, but the students are not required to turnin 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 aNo Homeworkmml?151751021282514Do these data indicate a significant difference between the score distributions forstudents with homework versus students with no homework? Test at the 5% level ofsignificance.

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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.

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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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