Test Prep. A GRE prep company claims that average score improvement of their students is equal to 90 points. We want to see if it is different than this. We randomly sample students for their average improvement. The data we collected are below. GRE scores are known to be normally distributed. Points 90.4 84 77 75.2 81.5 78.4 96.5 97.3 101.5 85.3 69.5 88.6 92.4 Evaluate the company's claim using a hypothesis test. You wish to test the following claim (Ha) at a significance level of a = 0.05. (a) Write the hypothesis for the test. O Ho: H= 90 Ha: p = 90 O H;: H = 90 Ha: p< 90 O Ho: H = 90 Ha: p> 90 O Ho: H = 85.969 Ha: p = 85.969 Ο H : μ- 85. 969 H3: p < 85.969 Ο H : μ- 85. 969 H: p> 85.969 (b) What is the p-value for this test (round to 4 decimal place) (c) Based on the sample data, we sould conclude that ...

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Test Prep. A GRE prep company claims that average score improvement of their students is equal to 90
points. We want to see if it is different than this. We randomly sample students for their average
improvement. The data we collected are below. GRE scores are known to be normally distributed.
Points
90.4
84
77
75.2
81.5
78.4
96.5
97.3
101.5
85.3
69.5
88.6
92.4
Evaluate the company's claim using a hypothesis test. You wish to test the following claim (Ha) at a
significance level of a = 0.05.
(a) Write the hypothesis for the test.
O Ho: H= 90
Ha: p = 90
O H;: H = 90
Ha: p< 90
O Ho: H = 90
Ha: p> 90
O Ho: H = 85.969
Ha: p = 85.969
Ο H : μ- 85. 969
H3: p < 85.969
Ο H : μ- 85. 969
H: p> 85.969
(b) What is the p-value for this test (round to 4 decimal place)
(c) Based on the sample data, we sould conclude that ...
O There is enough evidence at the a = 0.05 level to say that the average improvement is not 90
points.
O There is not enough evidence at the a = 0.05 level to say that the average improvement is not 90.
Question Help: O Message instructor D Post to forum
Submit Question
Jump to Answer
Transcribed Image Text:Test Prep. A GRE prep company claims that average score improvement of their students is equal to 90 points. We want to see if it is different than this. We randomly sample students for their average improvement. The data we collected are below. GRE scores are known to be normally distributed. Points 90.4 84 77 75.2 81.5 78.4 96.5 97.3 101.5 85.3 69.5 88.6 92.4 Evaluate the company's claim using a hypothesis test. You wish to test the following claim (Ha) at a significance level of a = 0.05. (a) Write the hypothesis for the test. O Ho: H= 90 Ha: p = 90 O H;: H = 90 Ha: p< 90 O Ho: H = 90 Ha: p> 90 O Ho: H = 85.969 Ha: p = 85.969 Ο H : μ- 85. 969 H3: p < 85.969 Ο H : μ- 85. 969 H: p> 85.969 (b) What is the p-value for this test (round to 4 decimal place) (c) Based on the sample data, we sould conclude that ... O There is enough evidence at the a = 0.05 level to say that the average improvement is not 90 points. O There is not enough evidence at the a = 0.05 level to say that the average improvement is not 90. Question Help: O Message instructor D Post to forum Submit Question Jump to Answer
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