Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 64.3 85.5 63.9 96 66.5 73.5 69 69 69 66.5 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: Ομ< 65 Ομ> 65 Op 65 B. State the mean of the sample: 72.32 e (Round to two decimal places.) C. State the standard error of the sample means: 3.2861 (Round to four decimal places.) D. State the test statistic: t = 2.2277 X (Round to four decimal places.) E. State the p-value: 0.0265 o (Round to four decimal places.) F. Decision: O Do not reject the null hypothesis. O Rejoct tho null
Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 64.3 85.5 63.9 96 66.5 73.5 69 69 69 66.5 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: Ομ< 65 Ομ> 65 Op 65 B. State the mean of the sample: 72.32 e (Round to two decimal places.) C. State the standard error of the sample means: 3.2861 (Round to four decimal places.) D. State the test statistic: t = 2.2277 X (Round to four decimal places.) E. State the p-value: 0.0265 o (Round to four decimal places.) F. Decision: O Do not reject the null hypothesis. O Rejoct tho null
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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![Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the
mean score is higher. She samples 10 statistics students and obtains the scores:
Grades
64.3
85.5
63.9
96
66.5
73.5
69
69
69
66.5
Test grades are believed to be normally distributed.
Use a significance level of 5%.
A. State the alternative hypothesis: HA:
Ou< 65
Ομ > 65
Ομ4 65
B. State the mean of the sample: 72.32
of (Round to two decimal places.)
C. State the standard error of the sample means: 3.2861
o (Round to four
decimal places.)
D. State the test statistic: t =
2.2277
x (Round to four decimal places.)
E. State the p-value: 0.0265
o (Round to four decimal places.)
F. Decision:
O Do not reject the null hypothesis.
O Reject the null hypothesis.
M
Chp
Ce
24](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f24824b-69f9-4157-a05c-767c803bb57e%2F4083c604-5185-4627-9f56-068862d89524%2Fi7vgxak_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the
mean score is higher. She samples 10 statistics students and obtains the scores:
Grades
64.3
85.5
63.9
96
66.5
73.5
69
69
69
66.5
Test grades are believed to be normally distributed.
Use a significance level of 5%.
A. State the alternative hypothesis: HA:
Ou< 65
Ομ > 65
Ομ4 65
B. State the mean of the sample: 72.32
of (Round to two decimal places.)
C. State the standard error of the sample means: 3.2861
o (Round to four
decimal places.)
D. State the test statistic: t =
2.2277
x (Round to four decimal places.)
E. State the p-value: 0.0265
o (Round to four decimal places.)
F. Decision:
O Do not reject the null hypothesis.
O Reject the null hypothesis.
M
Chp
Ce
24
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Solution:
Given information:
n= 10 Sample size
Population mean
let x= Grades
x | ||
64.3 | -8.02 | 64.3204 |
85.5 | 13.18 | 173.7124 |
63.9 | -8.42 | 70.8964 |
96 | 23.68 | 560.7424 |
66.5 | -5.82 | 33.8724 |
73.5 | 1.18 | 1.3924 |
69 | -3.32 | 11.0224 |
69 | -3.32 | 11.0224 |
69 | -3.32 | 11.0224 |
66.5 | -5.82 | 33.8724 |
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