let's consider this question. Elementary school girls tend to outperform boys on standard tests. However, this reverses in middle and high school and boys routinely outperform girls on standard tests, especially in science and math. Many psychologists believe that girls lose ground academically as they turn their attention to issues of popularity and dating.

Why don't boys show a similar decline in achievement as they turn their attention to dating? What's your opinion of this? What do you remember from high school?

1. A researcher is interested in the effects of birth order (first born versus later born) on achievement in a group of middle school boys and girls. The researcher believes that birth order has a differential effect on achievement in boys and girls. Data were collected on a standardized test taken by all students (both boys and girls) in the 8th grade (higher scores indicate greater achievement). The data are given below:   

Only child, boys: 93,92,94            Only child, girls: 88,89,90

First-born, boys: 93,92,94              First-born, girls: 88,89,90

Later-born, boys: 88,87,86             Later-born, girls: 74,75,73

1. Perform the appropriate analysis.
2. Describe the findings fully using appropriate follow-up test where necessary.
3. Was the researcher's hypothesis supported?

Please be as neat/organized as possible when showing your work

Leslie is interested in testing whether the performance of girls and boys on a standardized math test differs. Contrary to the stereotype she believes that young girls are better at math then boys and the resulting differences in young adults is due to social stigma. To test this, she collects data from 63 girls and 51 boys who were randomly selected from a local elementary school. She decides to perform a two-tailed test as this is the standard and uses a more conservative alpha of .0 The mean score for girls is 76 (s=13), and the mean score for boys is 71 (s=8). Perform the 4 steps of hypothesis testing if s_M1-M2 = 2.08.

In a particular town 10% of the families have no children, 20% have one child, 40% have two children, 20% have three children, and 10% have four. Let T represent the total number of children, and G the number of girls, in a family chosen at random from this town. Assuming that children are equally likely to be boys or girls, find the distribution of G. Display your answer in a table and sketch the histogram.

: There are 218 first-graders in an elementary school. Of these first graders, 86 are boys and 132 are girls. School wide, there are 753 boys and 1063 girls. • Instructions: The principal would like to know if the gender ratio in first grade reflects the gender ratio school wide What are the degrees of freedom (df)?

Complete this table in SPSS and paste the output below to replace it:

Calculate χ² in SPSS and paste the output below.

e. Can you reject the null hypothesis at α = .05? Explain why or why not

(a) There are 5 boys and 2 girls waiting in a straight line for the school bus. How many ways
can the queue be arranged such that two girls are not standing next to each other?
(b) There are 7 boys and 5 girls to be assigned into different groups. Answer the following:
i) Suppose that the 12 people are divided into 3 groups so that the number of people
in each group is 2, 4, and 6. How many ways can you assign the people?
ii) Suppose 6 people are randomly chosen without replacement. What is the
probability that 3 of them are boys and 3 are girls?
iii) Suppose 5 people are randomly chosen without replacement. What is the
probability that at least 3 of them are girls?

Write a letter (in the first person as Mary Wollstonecraft) as if Mary Wollstonecraft was asking a headmaster at a school for boys in the 1700s to accept some talented girls in the school.

-What arguments might she give to accept the girls in the school?

-Write the letter you think that Wollstonecraft might send.

-Include a short direct quotation. (anything from the book)

In a recent school year in the state of Washington, there were 319,000 high school students. Of these, 154,000 were girls and 165,000 were boys. Among the girls, 41,100 dropped out of school, and among the boys, 10,500 dropped out. A student is chosen at random. Round the answers to four decimal places.

(a) What is the probability that the student is female?

(b) What is the probability that the student dropped out?

(c) What is the probability that the student is female and dropped out?

(d) Given that the student is female, what is the probability that she dropped out?

(e) Given that the student dropped out, what is the probability that the student is female?