Reading grade level 5 6 7 8 9 10 Number of pages 6 10 4 2 2 1 No, because the p-value is greater than 0.10.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 6E: Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the...
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continuation
Reading grade level
5
6
7
8
9
10
Number of pages
6
10
4 2 2
1
No, because the p-value is greater
than 0.10.
Yes, the p-value is less than 0.001
indicating very strong evidence for
the teacher's belief.
Yes, the p-value is between 0.05 and
0.10 indicating some evidence for
the for the teacher's belief.
Yes, the p-value is between 0.01 and
O 0.05 indicating evidence for the
teacher's belief.
Yes, the p-value is between 0.001
and 0.01 indicating steong evidence
for the teacher's belief.
Transcribed Image Text:continuation Reading grade level 5 6 7 8 9 10 Number of pages 6 10 4 2 2 1 No, because the p-value is greater than 0.10. Yes, the p-value is less than 0.001 indicating very strong evidence for the teacher's belief. Yes, the p-value is between 0.05 and 0.10 indicating some evidence for the for the teacher's belief. Yes, the p-value is between 0.01 and O 0.05 indicating evidence for the teacher's belief. Yes, the p-value is between 0.001 and 0.01 indicating steong evidence for the teacher's belief.
A company selling home
appliances claims that the
accompanying instruction
guides are written at a 6th
grade reading level. An
English teacher believes that
the true figure is higher and
with the help of a very good
Statistics 1 student runs a
hypothesis test. The student
randomly picks one page
from each of 25 of the
company's instruction
guides, and the teacher
subjects the pages to a
standard readability test. The
reading levels of the 25
pages are given in the
following table below. Is
there statistical evidence to
support the English teacher's
belief?
Reading grade level
5
6
7
8
9
10
Number of pages 6 10
4 2 2
1
No, because the p-value is greater
than 0.10.
Yes, the p-value is less than 0.001
indicating very strong evidence for
Transcribed Image Text:A company selling home appliances claims that the accompanying instruction guides are written at a 6th grade reading level. An English teacher believes that the true figure is higher and with the help of a very good Statistics 1 student runs a hypothesis test. The student randomly picks one page from each of 25 of the company's instruction guides, and the teacher subjects the pages to a standard readability test. The reading levels of the 25 pages are given in the following table below. Is there statistical evidence to support the English teacher's belief? Reading grade level 5 6 7 8 9 10 Number of pages 6 10 4 2 2 1 No, because the p-value is greater than 0.10. Yes, the p-value is less than 0.001 indicating very strong evidence for
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A company selling home appliances claims that the accompanying instruction guides are written at a 6th-grade reading level. An English teacher believes that the true figure is higher and with the help of an AP Statistics student runs a hypothesis test. The student randomly picks one page from each of 25 of the company's instruction guides, and the teacher subjects the pages to a standard readability test. The reading levels of the 25 pages are given in the following table:
Reading Grade Level        Number of Pages
5                                           6
6                                           10
7                                            4
8                                            2
9                                           2
10                                        1
 
How did you get standard deviation of 1.388?
How did you get x bar 6.48?
In the given n = 25, but in getting the df your n = 30, why?

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YOUR ANSWER:

Given:

n = 25

 

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Step 2

x¯ = 6.48

σ = 1.388

t = x¯ - μσ/n = 6.48 - 61.388/25 = 1.729

df = n-1 = 29

=> P = 0.048

Yes, the P-value is between 0.01 and 0.05 indicating evidence for the teacher's belief.

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