1: A survey questioned 1,000 high school students. The survey revealed that 46% are honor roll students. Of those who are honor roll students, 45% play sports in school and 21% of those that are not honor roll students, don't play sports. What is the probability that a high school student selected at random plays sports in school?

2: One of two small classrooms is chosen at random with equally likely probability, and then a student is chosen at random from the chosen classroom. Classroom #1 has 5 boys and 11 girls. Classroom #2 has 14 boys and 9 girls. What is the probability that Classroom #2 was chosen at random, given that a girl was chosen? Your answers should be rounded to 4 digits after the decimal.

In a school sports day, there are 110 students taking part in 3 events i.e. athletic, netball, and soccer. Some of them are also supporters. Overall 43 of them are girls. 40 students take part in athletic. There are 25 girls taking part in netball, and 5 play netball and athletic. As for boys, only 30 boys play soccer, and only 15 take part in athletic. Meanwhile, 20 students act as supporters. The number of boys who play soccer only is 6 times more than girls who take part in netball and athletic. Note that the events only girls play netball and only boys play soccer are mutually exclusive.

a. Illustrate the events. Write the proper symbol for each event.

b. If one student is selected, find the probability of:

i. student who play soccer and an athletic. (1 mark)

ii. student who play netball but not an athletic.
(1 mark)

iii. student who only take part in athletic.  

iv. student who take part in netball given that she is not an athletic, or the student play soccer.     

In a school sports day, there are 110 students taking part in 3 events i.e. athletic, netball, and soccer. Some of them are also supporters. Overall 43 of them are girls. 40 students take part in athletic. There are 25 girls taking part in netball, and 5 play netball and athletic. As for boys, only 30 boys play soccer, and only 15 take part in athletic. Meanwhile, 20 students act as supporters. The number of boys who play soccer only is 6 times more than girls who take part in netball and athletic. Note that the events only girls play netball and only boys play soccer are mutually exclusive.

1. Illustrate the events. Write the proper symbol for each event.                                            
2. If one student is selected, find the probability of

1. student who play soccer and an athletic.                                                                      (1 mark)

2. student who play netball but not an athletic.                                                            (1 mark)

3. student who only take part in athletic.                                                                       

4. student who take part in netball given that she is not an athletic, or the student play soccer.                                                                                                                           

Sex Segregation

In this assignment, you will explore socially derived gender norms and the role they play in primary education environments.

Assume that a friend is thinking about sending her six-year-old daughter to an all-girls' school. She has asked for your opinion on whether all-girls' schools are better for girls in terms of fostering achievement and self-esteem.

Using the module readings, the online library resources, and the Internet, research sex-segregated education.

Based on your research, respond to the following:

What are your personal views on having sex-segregated education? What do you base these opinions on (personal experience, research, opinions of others, or media reports)?

What, according to scientific literature, are the biological, cultural, or social reasons for or against sex-segregated education? Is there evidence to suggest that there may be academic areas where sex-segregated education for girls or boys is beneficial?

Would sex-segregated education affect self-confidence and self-esteem in students and impact success in work, school, or the social environment?

Would you recommend that your friend send her daughter to an all-girls’ school?

Please note that your responses should represent both girls and boys with regard to your overall assessment of sex-segregated instruction.

Give reasons and examples from research in support of your assertions. Be sure to integrate research and personal views in your response.

(15pts) A researcher wants to compare IQ scores for boys and girls. He obtained IQ scores for 47 randomly sampled seventh-grade boys in a Midwest school district and 31 seventh- grade girls in the same district.

1. (a) Based on the design, which test should the researcher use to analyze the data? One-sample t test, matched-pair t test or two-sample t test?(2pts)

2. (b) Based on the JMP output below, report the 95% CI for the mean IQ score difference between boys and girls. (5 pts)

3. (c) Use the 95% CI above to test whether the mean IQ score between boys and girls are significantly different or not, explain the reasoning(3pts).

4. (d) Based on the JMP output below, use the p-value method to test whether boys and girls differ in their mean IQ scores. State the null and alternative hypotheses, report the test statistic, p-value and your final conclusion. (5 pts)

JMP OUTPUT t Test

Male-Female
Difference 5.119

t Ratio 1.643877 DF 56.93171

5

Std Err Dif
Upper CL Dif
Lower CL Dif Confidence 0.95

3.114 11.354 -1.117

Prob > |t| Prob > t Prob < t

0.1057 0.0529 0.9471

Three boys and three girls are to sit in a row. Find the probability that

i. The boys and girls alternate.

ii. The boys and girls sit together.

iii. Two specific girls sit next to one another.

Please provide full working with correct answer and clear explanation

Researchers studied a random sample of high school students who participated in interscholastic athletics to learn about the risk of lower-extremity injuries (anywhere between hip and toe) for interscholastic athletes. Of 998 participants in girls' soccer, 77 experienced lower-extremity injuries. Of 1660 participants in boys' soccer, 159 experienced lower-extremity injuries.

Write a two-way table of observed counts for gender and whether a participant had a lower-extremity injury or not.

(b) Determine a two-way table of expected counts for these data. (Round the answers to one decimal place where it is needed.)

(c) Show calculations verifying that the value of the chi-square statistic is 2.67. Chi-square = (77-88.6)2/ + (921- )2/909.4 + ( -147.4)2/147.4 + (1501- )2/ = 1.52 + 0.15 + + 0.09 = 2.67

The accompanying 2 files (boynames.txt and girlnames.txt) contain the results of a recent census of boy and girl births in the last year. Each record of the files contain a given name and the number of new born children receiving that name. E.g.,

          Matthew 23567          or            Alison 17658

Each name is separated from the number by a blank space.

There are also some common names given to both boys and girls, e.g., Riley. They will appear in both the boy file and the girl file.

Write a PHP script that finds answers to the following questions.

1. How many names are common to both boys and girls?
2. List the common names with how many boys and how many girls have that name. Use an HTML table to display this data.
3. How many total boys and how many total girls were born last year according to the census?