1. A supplier of TI-83 calculators claims that the average life of their calculators is 8 years. A sample of 16 calculators reveals a sample mean life of 7.8 years. The sample standard deviation is 0.2 years. Does the data suggest the average life of TI-83 calculators is not 8 years at the .05 level of significance? Assume that calculator lifetimes are normally distributed. (d) Committing a Type II error here would be (Circle one): i) Concluding the average life of the TI-83 calculator is not 8 years when in reality the average life is not 8 years. Concluding the average life of the TI-83 calculator is not 8 years when reality the average life is 8 years. Concluding it is plausible the average life of the TI-83 calculator is 8 when reality the average life is 8 years. Concluding it is plausible the average life of the TI-83 calculator is 8 when in reality the average life is not 8 ii) iii) years iv) years years. (e) Committing a Type I error here would be (Circle one): i) Concluding the average life of the TI-83 calculator is not 8 years when in reality the average life is not 8 years. ii) Concluding the average life of the TI-83 calculator is not 8 reality the average life is 8 years. iii) Concluding it is plausible the average life of the TI-83 calculator is 8 when reality the average life is 8 years. iv) Concluding it is plausible the average life of the TI-83 calculator is 8 years when in reality the average life is not 8 years. years when years

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
Topic Video
Question
1. A supplier of TI-83 calculators claims that the average life of their calculators is 8 years. A sample of 16 calculators reveals a sample mean life of 7.8 years. The sample standard deviation is 0.2 years. Does the data suggest the average life of TI-83 calculators is not 8 years at the .05 level of significance? Assume that calculator lifetimes are normally distributed.

(d) Committing a Type II error here would be (Circle one):

i) Concluding the average life of the TI-83 calculator is not 8 years when in reality the average life is not 8 years.

ii) Concluding the average life of the TI-83 calculator is not 8 years when reality the average life is 8 years.

iii) Concluding it is plausible the average life of the TI-83 calculator is 8 years when reality the average life is 8 years.

iv) Concluding it is plausible the average life of the TI-83 calculator is 8 years when in reality the average life is not 8 years.

(e) Committing a Type I error here would be (Circle one):

i) Concluding the average life of the TI-83 calculator is not 8 years when in reality the average life is not 8 years.

ii) Concluding the average life of the TI-83 calculator is not 8 years when reality the average life is 8 years.

iii) Concluding it is plausible the average life of the TI-83 calculator is 8 years when reality the average life is 8 years.

iv) Concluding it is plausible the average life of the TI-83 calculator is 8 years when in reality the average life is not 8 years.
Transcribed Image Text:1. A supplier of TI-83 calculators claims that the average life of their calculators is 8 years. A sample of 16 calculators reveals a sample mean life of 7.8 years. The sample standard deviation is 0.2 years. Does the data suggest the average life of TI-83 calculators is not 8 years at the .05 level of significance? Assume that calculator lifetimes are normally distributed. (d) Committing a Type II error here would be (Circle one): i) Concluding the average life of the TI-83 calculator is not 8 years when in reality the average life is not 8 years. ii) Concluding the average life of the TI-83 calculator is not 8 years when reality the average life is 8 years. iii) Concluding it is plausible the average life of the TI-83 calculator is 8 years when reality the average life is 8 years. iv) Concluding it is plausible the average life of the TI-83 calculator is 8 years when in reality the average life is not 8 years. (e) Committing a Type I error here would be (Circle one): i) Concluding the average life of the TI-83 calculator is not 8 years when in reality the average life is not 8 years. ii) Concluding the average life of the TI-83 calculator is not 8 years when reality the average life is 8 years. iii) Concluding it is plausible the average life of the TI-83 calculator is 8 years when reality the average life is 8 years. iv) Concluding it is plausible the average life of the TI-83 calculator is 8 years when in reality the average life is not 8 years.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill