As part of its freshman orientation process, a college gives a math placement exam to incoming freshmen. The math department is interested in whether there is a statistically significant difference in the average exam score for students in different programs, at a level of α=0.01. The exam scores for random samples of science, engineering, humanities, and business majors are shown in the following table. The math department has confirmed that the samples were randomly selected and independent, that the populations are normally distributed, and that the population variances of scores are equal. Use a TI-83, TI-83 plus, or TI-84 calculator and the following table of critical values for the F-distribution to calculate the degrees of freedom, critical value, and test statistic for the data set, rounding the test statistic to two decimal places. Critical Values of the F-Distribution for α=0.01 Degrees of Freedom for the Numerator Degrees of Freedom for the Denominator 1 2 3 4 5 30 7.56 5.39 4.51 4.02 3.70 31 7.53 5.36 4.48 3.99 3.67 32 7.50 5.34 4.46 3.97 3.65 33 7.47 5.31 4.44 3.95 3.63 34 7.44 5.29 4.42 3.93 3.61 35 7.42 5.27 4.40 3.91 3.59 36 7.40 5.25 4.38 3.89 3.57 37 7.37 5.23 4.36 3.87 3.56 38 7.35 5.21 4.34 3.86 3.54 39 7.33 5.19 4.33 3.84 3.53 40 7.31 5.18 4.31 3.83 3.51 Science Engineering Humanities Business 87 88 85 82 79 89 84 78 84 88 91 80 83 86 84 78 89 89 83 78 87 87 79 79 91 94 91 74 83 90 81 79 85 86 82 83 86 86 91 79 Provide your answer below: Numerator degrees of freedom = denominator degrees of freedom = critical value = test statistic =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

See similar textbooks

Related questions

Concept explainers

Question

As part of its freshman orientation process, a college gives a math placement exam to incoming freshmen. The math department is interested in whether there is a statistically significant difference in the average exam score for students in different programs, at a level of α=0.01. The exam scores for random samples of science, engineering, humanities, and business majors are shown in the following table. The math department has confirmed that the samples were randomly selected and independent, that the populations are normally distributed, and that the population variances of scores are equal. Use a TI-83, TI-83 plus, or TI-84 calculator and the following table of critical values for the F-distribution to calculate the degrees of freedom, critical value, and test statistic for the data set, rounding the test statistic to two decimal places.

Critical Values of the F-Distribution for α=0.01

	Degrees of Freedom for the Numerator
Degrees of Freedom for the Denominator	1	2	3	4	5
30	7.56	5.39	4.51	4.02	3.70
31	7.53	5.36	4.48	3.99	3.67
32	7.50	5.34	4.46	3.97	3.65
33	7.47	5.31	4.44	3.95	3.63
34	7.44	5.29	4.42	3.93	3.61
35	7.42	5.27	4.40	3.91	3.59
36	7.40	5.25	4.38	3.89	3.57
37	7.37	5.23	4.36	3.87	3.56
38	7.35	5.21	4.34	3.86	3.54
39	7.33	5.19	4.33	3.84	3.53
40	7.31	5.18	4.31	3.83	3.51

Science	Engineering	Humanities	Business
87	88	85	82
79	89	84	78
84	88	91	80
83	86	84	78
89	89	83	78
87	87	79	79
91	94	91	74
83	90	81	79
85	86	82	83
86	86	91	79

Provide your answer below:

Numerator degrees of freedom =

denominator degrees of freedom =

critical value =

test statistic =

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.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions