For items 6 to 10, use the following information. A producer of various kinds of
ID: 3305386 • Letter: F
Question
For items 6 to 10, use the following information. A producer of various kinds of batteries has been producing "AAA" size batteries with a life expectancy of 206 hours. Due to an improved production process, management believes that there has been an increase in the life ex of their "AAA" size batteries. A sample of 75 batteries showed an average life of 207 hours and pectancy a sample standard deviation of 9.5 hours. 6. We want to test to determine if there has heen a significant increase in the average yearly life expectaney of their "AAA" size batteries. What is the null hypothesis? ( A. Ilo: RS 206 B. Her > 207 C.110: > 206 D. Ho: 207 E. Ilo: #206 7. What is the alternative hypothesis? A. Ila: #206 B. Ha: > 207 C. 11,: >206 D. Ilai 2207 8. Compute the test statistic A. 0.063 B. 0.615 C. 0.615 D.0.92 Feta, 0.912 9. Whatis the p-value? A Between 0.10 and 0.20 B. Between 0.05 and 0.10 C. Between 0.25 and 0.05 D. Between 0.25 and 0.005 E. 0.005Explanation / Answer
6) A , as we want to check if the mean life is <=206 as null
7) C , as alternate is life > 206 , the claim
8)
The test stat is
(207-206)/(9.5/sqrt(75)) = 0.9116
t stat = 0.912
9)
df = 75-1 = 74
from the t table we see that the value lies between 0.10 and 0.20 , hence A
10 )
at 99% confidence , our alpha becomes 0.01 and our p pvalue is in the range 0.10 and 0.20 , hence we fail to reject the null hypothesis. Hence A
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.