Problem 1 Use same problem data for items 15-20 population mean = 1.00 populaton

Question

Problem 1 Use same problem data for items 15-20

population mean = 1.00

populaton standard deviation= 2.45

X = 1.43

N = 18

Question 15. What is the probability (z score) for this value of X?

A..4325 .

B. 4286 .

C. 4247

D. .05

Question 16. If alpha were set at .05, is this difference statistically significant?

A.Yes

B. No

C. Can't tell from the data given

Question 17. Which statistical test would tell if the Mean of X were significantly higher than mu?

A. Z-test

B. t-test

C. Null test

D. Central Limit Theorem

Question 18. Unsaved If alpha is set at .05 for this one-tailed test, what are the degrees of freedom?

A. 28

B.17

C. 27

D. 18

Question 19. What is the tabled, or critical value for this test? Hint: See the table of critical values in the back of the book, and df (degrees of freedom) is N-1.

A. 1.740

B. 1.734

C. 1.701

D. 1.64

Question 20. Is this difference between the mean of X and mu statistically significant? (Hint, is the calculated t larger than the tabled t value? If yes, it is significant. Question 20 options: A.Yes

B. No

C. Can't tell from the data given

Explanation / Answer

Here, mean = 1 , std. deviation= 2.45 , x = 1.43 , n =18

15) z = ( X - mean ) / std. deviation

= ( 1.43 - 1) / 2.45

= 0.175

we need to find P(Z > 0.175) , by using z standard right tail, we get

P( Z > 0.175 ) = .4325

16) Yes, because Z > 1.645

18) degrees of freedom = n - 1 = 18 -1 = 17

19 ) Critical value for this test = 1.740

20) No , because calculated t value < = tabled t value

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.