Statistics students believe that the mean score on a first statistics test is 65. The instructor think mean score is higher. She samples 10 statistics students and obtains the scores: 69 63.9 68.4 62.7 73.5 73.5 64.3 73.5 96 Grades 69 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: Ομ < 65 Ομ # 65 Ομ > 65 B. State the mean of the sample: C. State the standard error of the sample means:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
icon
Related questions
Question
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 69 69 63.9 68.4 62.7
73.5 73.5 64.3
Test grades are believed to be normally distributed.
Use a significance level of 5%.
A. State the alternative hypothesis: HA:
Ομ < 65
Ομ # 65
Ομ > 65
B. State the mean of the sample:
C. State the standard error of the sample means:
D. State the test statistic: t =
E. State the p-value:
F. Decision:
O Fail to reject the null hypothesis.
Reject the null hypothesis.
73.5
96
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 69 69 63.9 68.4 62.7 73.5 73.5 64.3 Test grades are believed to be normally distributed. Use a significance level of 5%. A. State the alternative hypothesis: HA: Ομ < 65 Ομ # 65 Ομ > 65 B. State the mean of the sample: C. State the standard error of the sample means: D. State the test statistic: t = E. State the p-value: F. Decision: O Fail to reject the null hypothesis. Reject the null hypothesis. 73.5 96
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL