A pharmaceutical company would like to investigate the response time of a COVID-19 rapid test. The company claims that the response time is 16 minutes. To investigate this claim, the company decided to consider the response time of a random sample of 28 tests.   Given:  The response times has a normal distribution with a standard deviation of σ=2. The company wishes to test this claim at α=0.01 level of significance. The value of the test statistic is z=−2.14.   1. The company would like to increase the sample size so that the sample mean is within 0.7 minutes of the true mean with 99% confidence. The new required sample size is ?

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A pharmaceutical company would like to investigate the response time of a COVID-19 rapid test. The company claims that the response time is 16 minutes. To investigate this claim, the company decided to consider the response time of a random sample of 28 tests.

 

Given: 

  • The response times has a normal distribution with a standard deviation of σ=2.
  • The company wishes to test this claim at α=0.01 level of significance.
  • The value of the test statistic is z=−2.14.

 

1. The company would like to increase the sample size so that the sample mean is within 0.7 minutes of the true mean with 99% confidence. The new required sample size is ?

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