Question

A school counselor in a high school would like to try out a new
conflict-resolution program to reduce aggressiveness in students.
She first surveyed 16 students using a 20-item instrument to
measure their levels of aggression (on a scale of 0 to 10, with
higher numbers meaning higher aggression levels). One month after
the conflict resolution program was implemented, the students were
given the same survey. The data are listed in the table below. The
school counselor/researcher has set the significance level at
*α* = .05.

Aggressiveness rating |
||

Subject |
Before program |
After program |

1 |
6 |
4 |

2 |
2 |
3 |

3 |
3 |
1 |

4 |
5 |
5 |

5 |
7 |
7 |

6 |
4 |
4 |

7 |
2 |
3 |

8 |
4 |
3 |

9 |
2 |
1 |

10 |
8 |
3 |

11 |
3 |
3 |

12 |
5 |
4 |

13 |
5 |
4 |

14 |
8 |
4 |

15 |
6 |
7 |

16 |
1 |
4 |

- Estimate the standard deviation of the comparison population (that represents the null hypothesis) (2 points total: 1 for work, 1 for answer)

- Calculate the standard error (standard deviation of the sampling distribution) (2 points total: 1 for work, 1 for answer)

- Calculate the t statistic for the sample (2 points total: 1 for work, 1 for answer)

- Because the hypotheses are directional, a one-tailed test can
be performed. Determine the critical
*t*value based on the degrees of freedom and the preset alpha level. (1 point)

- Compare the
*t*statistic with the critical*t*value. Is the calculated*t*statistic more extreme or less extreme than the critical*t*value? Then make a decision about the hypothesis test, stating explicitly “reject” or “fail to reject” accordingly. (2 points total: 1 for each answer)

Answer #1

A school counselor in a high school would like to try out a new
conflict-resolution program to reduce aggressiveness in students.
She first surveyed 16 students using a 20-item instrument to
measure their levels of aggression (on a scale of 0 to 10, with
higher numbers meaning higher aggression levels). One month after
the conflict resolution program was implemented, the students were
given the same survey. The data are listed in the table below. The
school counselor/researcher has set the...

A clinic specializing in eating disorders would like to evaluate
the effectiveness of a nutritional training program on binge eating
disorder (BED). A psychologist was hired to conduct a small study
to examine the potential effect of nutritional training on number
of binges per month. The psychologist recruited 10 patients in the
clinic to participate in a nutritional training program and 12
patients in the clinic with similar demographics who do not
participate in the nutritional program. Afterward, all participants...

A high school principle currently encourages students to enroll
in a specific SAT prep program that has a reputation of improving
score by 50 points on average. A new SAT prep program has been
released and claims to be better than their current program. The
principle is thinking of advertising this new program to students
if there is enough evidence at the 5% level that their claim is
true. The principle tests the following hypotheses:
H0:μ=50 points HA:μ>50 points
where...

You are a school psychologist interested in whether a new
educational program, Go4It, improves SAT scores in senior high
school students. After implementing the educational program in an
SAT course at Park High School, you obtain the students’ SAT scores
(n = 10). You want to know whether SAT
scores from your sample of students, who were enrolled in the Go4It
program, are different from the population of SAT scores. You have
access to SAT scores for all senior high...

A high school principle currently encourages students to enroll
in a specific SAT prep program that has a reputation of improving
score by 50 points on average. A new SAT prep program has been
released and claims to be better than their current program. The
principle is thinking of advertising this new program to students
if there is enough evidence at the 5% level that their claim is
true. The principle tests the following hypotheses:
H0:μ=50 points
HA:μ>50 points
where...

Reducing Errors in Spelling A ninth-grade
teacher wishes to see if a new spelling program will reduce the
spelling errors in his students writing. The number of spelling
errors made by the students in a five-page report before the
program is shown. Then the number of spelling errors made by
students in a five-page report after the program is shown. At alpha
= 0.05 (a=0.05) did the program work?
Before. 8---3---10---5---9---11---12
After. 6---4----8----1---4---7---11---

An education minister would like to know whether students at
Gedrassi high school on average perform better at English or at
Mathematics. Denoting by μ1 the mean score for all
Gedrassi students in a standardized English exam and μ2
the mean score for all Gedrassi students in a standardized
Mathematics exam, the minister would like to get a 95% confidence
interval estimate for the difference between the means:
μ1 - μ2.
A study was conducted where many students were given...

An Illinois state program evaluator is tasked with studying the
intelligence of soon graduating high school students in a number of
Chicago-area high schools.
One of the specific questions that needs to be answered is, “How
do the students of Collins High School, one of Chicago’s
lowest-rated high schools in terms of academic achievement, fare
compared to students of Lincoln Park High School, one of Chicago’s
highest-rated high schools in terms of academic achievement?”.
To conduct this study, the program...

(Table: TV and Aggressiveness) In a fictional study, a
pretest-posttest design was used to examine the influence of a
television program on children's aggressiveness. The number of
aggressive responses was measured during an observation period both
before and after the television program. Perform the six
steps of hypothesis testing using the following data to determine
if there is a difference in the number of aggressive behaviors in
children after having viewed the television program.
Table: TV and Aggressiveness
Participant
Before...

The following are the weights of a sample of female high school
students:
08 |8
09 | 5 2 0 9
10 | 4 9 3
11 | 5 9 8 3
12 | 3 9 7 7 6
14 | 0 6 3
15 | 4 1 7 2
18 | 5
This table, for example, indicates that one female weighs 88 pounds
and that no female students weigh between 130 and 139 pounds.
(a) Find the mean weight....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 21 minutes ago

asked 39 minutes ago

asked 46 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago