instructions

• Use MATLAB to solve all questions. You do not need to follow the 7-step procedure for hypothesis testing.
• Convert your answer file to a .pdf before upload. Submit your MATLAB code as a .m file.

hypothesis testing

1. Let us pretend you are a quality engineer working at a company designing a new rapid COVID-19 diagnostic test. This new test has been designed to work very quickly, with results available in less than 5 minutes. However, while implementing the test in the field some unexpected variation in time-to-result has been observed. The company has created a new design requirement that the time-to-result must have a standard deviation of less than 30 seconds and has rewritten the test administration protocol. You have run n=150 tests in the field following the new protocol and have measured the time-to-result for these tests (in seconds). The results are recorded the file "testTime.xlsx" DataMean=245.97Standard deviation is 23.6691n=150
2. Is it appropriate to run a chi-squared hypothesis test on this data? Produce a figure and run a hypothesis test to support your conclusion. Explain your answer.
3. When following the new protocol, Is the standard deviation of the time-to-result below 30 seconds? Use the P-value approach with =0.05. Use a two-sided alternative.
4. Are the tests meeting the requirement of producing results in less than 5 minutes? Use the P-value approach with =0.05. Use a two-sided alternative.
5. Construct a 95% CI on mean time-to-result value. Use this CI to test the hypothesis in part c.

DataMean=245.97Standard deviation is 23.6691n=150