Question

Males | Females |

620 | 660 |

570 | 590 |

540 | 540 |

580 | 560 |

590 | 610 |

580 | 590 |

480 | 610 |

620 | 650 |

570 | 600 |

610 | 620 |

590 | 630 |

570 | 640 |

610 | 590 |

590 | 640 |

570 | 580 |

550 | 560 |

530 | 570 |

560 | 560 |

620 | 600 |

520 | 600 |

560 | 590 |

620 | 590 |

580 | 590 |

610 | 630 |

530 | 560 |

480 | 600 |

590 | 560 |

620 | 560 |

590 | 560 |

580 | 560 |

NOTE: use Excel and submit screenshots and directions on how to do it on excel

These are the scores of males and females SAT scores

1. Construct the null and the alternative hypotheses to test if females outscore males on writing tests.

2. Assuming the difference in scores is normally distributed, calculate the value of the test statistic. Do not assume that the population variances are equal.

3. Implement the test at alpha=0.01 and interpret your results.

Answer #1

**Ho:means are not significantly different.**

**H1:means are significantly different.**

**Data-----data analysis toolpack------t test -two sample
assuming unequal varriances**

t-Test: Two-Sample Assuming Unequal Variances | ||

Males | Females | |

Mean | 574.3333 | 593.3333 |

Variance | 1466.782 | 988.5057 |

Observations | 30 | 30 |

Hypothesized Mean Difference | 0 | |

df | 56 | |

t Stat | -2.10021 | |

P(T<=t) one-tail | 0.020113 | |

t Critical one-tail | 1.672522 | |

P(T<=t) two-tail | 0.040227 | |

t Critical two-tail | 2.003241(5%) |

**The absolute value of the calculated t is
smaller than critical value (2.1002<2.678(1%)), so the means are
not significantly different.**

Males
Females
620
660
570
590
540
540
580
560
590
610
580
590
480
610
620
650
570
600
610
620
590
630
570
640
610
590
590
640
570
580
550
560
530
570
560
560
620
600
520
600
560
590
620
590
580
590
610
630
530
560
480
600
590
560
620
560
590
560
580
560
1. Summarize the data visually. This will require referencing
chapter 2 and determining the best way to visually...

1: Sample:
Gender
Verbal
Math
f
630
660
m
610
550
f
680
660
m
490
390
f
510
520
m
700
700
f
640
710
f
520
470
f
530
500
m
640
570
f
710
700
f
630
520
f
670
580
f
630
610
m
360
290
f
540
490
f
490
560
m
730
760
m
760
700
f
530
670
m
710
700
f
630
610
f
530
490
f
420
410
f
490...

Create two new columns that separate the analytic GRE scores
into males and females
ID
Gender
Ethnicity
Age
Science Type
Student Status
Verbal GRE
Quantitative GRE
Analytic GRE
College GPA
Graduate GPA
1
Female
White
24
Social
Full Time
450
500
550
3.14
3.42
2
Female
White
25
Social
Full Time
480
580
450
3.11
3.34
3
Female
White
30
Social
Full Time
610
650
680
3.62
3.79
4
Female
White
30
Social
Full Time
540
550
560
3.15
3.46...

Perform a one-sample t-test to determine if the average
quantitative GRE score is significantly lower than 600 (use α =
0.05). Be sure to report the test statistic and
p-value.
ID
Gender
Ethnicity
Age
Science Type
Student Status
Verbal GRE
Quantitative GRE
Analytic GRE
College GPA
Graduate GPA
1
Female
White
24
Social
Full Time
450
500
550
3.14
3.42
2
Female
White
25
Social
Full Time
480
580
450
3.11
3.34
3
Female
White
30
Social
Full Time
610
650...

Q1. The quantitative reasoning scores on the GRE were recorded
for students admitted to three different graduate programs as
below.
(a): Construct an ANOVA table for the data using Completely
Randomized Design?
(b): If you find a significant difference in the average scores
for the three programs, Use Tukey’smethod for paired comparisons to
determine which means differ significantly. Use α = .05.
Life
Physical
Social
630
660
440
640
640
330
470
720
670
600
690
570
580...

Do students perform better on the Verbal section of the SAT
compared to the Math? 10 students were randomly selected and their
Math & Verbal scores are listed below. Test the claim that
students perform better on the Verbal section and the 5%
significance level using PHANTOMS.
Math
Verbal
640
470
660
650
550
580
560
660
600
790
560
640
550
660
600
560
540
560
540
560

Use the data for two Sydney suburbs to answer questions
1-5:
1 Using Excel or other appropriate
software, produce two separate histograms for the median rental
prices of the two selected suburbs, respectively.
Use an appropriate number
of bins for your histogram and remember to label the axes. Describe
and compare the two histograms, including the central location,
dispersion and skewness. [1 mark]
2 Compute the sample means and sample
standard deviations of the median rental prices...

Some students are good in mathematics and others are better at
reading or writing. The question is whether there is any
relationship between a student’s ability in math and his/her
ability in reading or writing. The SAT, a standardized test for
college admissions that is widely used in the United States, has
three sections, Math, Critical Reading, and Writing. The table
below contains SAT Math, Writing, and Critical Reading test scores
for 20 randomly chosen students accepted by a university....

Three admission test preparation programs are being evaluated.
Suppose the scores obtained by a sample of 20 people who used the
programs provided the following data.
Program
A
B
C
540
450
600
400
540
630
490
400
560
530
420
490
490
460
590
620
380
610
550
580
Use the Kruskal-Wallis test to determine whether there is a
significant difference among the three test preparation programs.
Use α = 0.05.
Find the value of the test statistic. (Round...

Three admission test preparation programs are being evaluated.
Suppose the scores obtained by a sample of 20 people who used the
programs provided the following data.
Program
A
B
C
510
450
600
400
510
620
470
400
560
520
430
470
470
460
570
630
390
640
550
590
Use the Kruskal-Wallis test to determine whether there is a
significant difference among the three test preparation programs.
Use α = 0.05.
Find the p-value. (Round your answer to three...

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