Past experience indicates that student marks in Business Statistics is normally
ID: 3305166 • Letter: P
Question
Past experience indicates that student marks in Business Statistics is normally distributed with a mean of 64 marks and a standard deviation of 20 marks. Athter nuneing study sessions during SWOT week, the courve coor nator took a random sample of 21 students and corded her make i teevu ne bore found the sample average to be 70.5 marks. The coordinator 's looking to conduct a statistical test at the 5% level of significance to determine whether the study sessions increased the sudent marks mull hypothesis? A. Ho: > 66 B. Ho: = 66 D. Ho: > 70.5 E. Ho: 70.5 D, H1: > 70.5 Help Choose the correct answer (A-E) What is the value of a (Record your answer either as 0.10, 0.05, or 0.01)Explanation / Answer
Here we are testing whether the mean score of students has increased from the previous score of 66. Therefore the null and the alternate hypothesis for this test would be obtained as:
H0 : Mean < = 66
Therefore E is the correct answer for the null hypothesis .
And ofcourse the alternate hypothesis would be the opposite of this. that is:
H1: Mean > 66
Therefore E is the correct answer for the alternate hypothesis as well.
As we are doing the test at 5% level of signifiance, therefore the required value of alpha is 0.05
0.05 is the required value of alpha.