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. (a) State the null and alternative hypotheses. (b) Give the test statistic and p-value.
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. (a) State the null and alternative hypotheses. (b) Give the test statistic and p-value.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 0.05 level of significance? Assume that calculator lifetimes are normally distributed.
(a) State the null and alternative hypotheses.
(b) Give the test statistic and p-value.
(c) Use the test statistic and p-value to make a decision about the null hypothesis (reject or fail to reject). Interpret the decision in the context of the problem.
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