A school district has a standardized test that it uses to determine placement into special classes. The superintendent is looking to determine whether male and female students have different scores on the test. The scores for a random sample of 25 male students and 25 female students are recorded. Assume that the scores are normally distributed for both male and female students. Let the male students be the first sample, and let the female students be the second sample. Is there enough evidence, at a = 0.01 to show a difference between male and female scores? Identify the degree of freedom and the critical value(s) to be used for this hypothesis test. Do not round; use the exact value from the t-table. Degree of freedom = Critical Value(s) = Probability Degrees of Freedom 23 24 25 26 Provide your answer below: Males x1 = 168 $1 = 14 n1 = 25 27 28 29 Females x2 = 171 $2 = 17 n2 = 25 0.10 0.05 0.025 0.01 0.005 1.319 1.714 2.069 2.500 2.807 1.318 1.711 2.064 2.492 2.797 1.316 1.708 2.060 2.485 2.787 1.315 1.706 2.056 2.479 2.779 1.314 1.703 2.052 2.473 2.771 1.313 1.701 2.048 2.467 2.763 1.311 1.699 2.045 2.462 2.756 9.3k Two Means Independent Samples. Homework.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A school district has a standardized test that it uses to determine placement into special classes. The
superintendent is looking to determine whether male and female students have different scores on the test.
The scores for a random sample of 25 male students and 25 female students are recorded. Assume that the
scores are normally distributed for both male and female students. Let the male students be the first sample,
and let the female students be the second sample. Is there enough evidence, at a = 0.01 to show a difference
between male and female scores?
Identify the degree of freedom and the critical value(s) to be used for this hypothesis test. Do not round; use
the exact value from the t-table.
Degree of freedom =
Provide your answer below:
Critical Value(s) =
Males Females
x1 = 168x2 = 171
$1 = 14
$2 = 17
n1 = 25
n2 = 25
Probability
Degrees of Freedom
23
24
25
26
27
28
29
0.10 0.05 0.025 0.01 0.005
1.319 1.714 2.069 2.500 2.807
1.318 1.711 2.064 2.492 2.797
1.316 1.708 2.060
2.485 2.787
1.315 1.706 2.056
2.479 2.779
1.314 1.703 2.052
2.473 2.771
1.313 1.701 2.048 2.467 2.763
1.311 1.699 2.045 2.462 2.756
9.3k Two Means Independent Samples. Homework.
Transcribed Image Text:A school district has a standardized test that it uses to determine placement into special classes. The superintendent is looking to determine whether male and female students have different scores on the test. The scores for a random sample of 25 male students and 25 female students are recorded. Assume that the scores are normally distributed for both male and female students. Let the male students be the first sample, and let the female students be the second sample. Is there enough evidence, at a = 0.01 to show a difference between male and female scores? Identify the degree of freedom and the critical value(s) to be used for this hypothesis test. Do not round; use the exact value from the t-table. Degree of freedom = Provide your answer below: Critical Value(s) = Males Females x1 = 168x2 = 171 $1 = 14 $2 = 17 n1 = 25 n2 = 25 Probability Degrees of Freedom 23 24 25 26 27 28 29 0.10 0.05 0.025 0.01 0.005 1.319 1.714 2.069 2.500 2.807 1.318 1.711 2.064 2.492 2.797 1.316 1.708 2.060 2.485 2.787 1.315 1.706 2.056 2.479 2.779 1.314 1.703 2.052 2.473 2.771 1.313 1.701 2.048 2.467 2.763 1.311 1.699 2.045 2.462 2.756 9.3k Two Means Independent Samples. Homework.
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