Please solve questions 1d and 1e and show your work. The given standard deviatio
ID: 3336969 • Letter: P
Question
Please solve questions 1d and 1e and show your work. The given standard deviation is 2 years, and the mean is 10 years. Thank you.
Question 1d: After a month-long survey, you collect 49 responses. What is the probability that the average life time of the motor is greater than 10 years and 9 months? (Use four decimal places) Question 5 8 pts Question 1e: After a month-long survey, you collect 146 responses and find that the average life of the motor is 10.02 years. What is the upper limit of a two- sided 95% confidence interval of the true average life of the motor? (Use four decimal places)Explanation / Answer
= 10 = 2
1d. n = 49
X' = 10.75
Z = (X' - ) n /
= (10.75 - 10) 49 / 2
= 0.75 * 7 / 2
= 2.625.
Probabilty (right tailed) = 0.0043.
1e. n = 146 z = 1.96
Upper limit = x' + z / n
= 10.02 + 1.96 * 2 / 146
= 10.0468.