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  3. you wish to test the following claim (haha) at a s

You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.       Ho:μ=86.1Ho:μ=86.1       Ha:μ≠86.1Ha:μ≠86.1 You believe the...

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Statistics

You wish to test the following claim (HaHa) at a significancelevel of α=0.05α=0.05.

      Ho:μ=86.1Ho:μ=86.1
      Ha:μ≠86.1Ha:μ≠86.1

You believe the population is normally distributed and you know thestandard deviation is σ=14.2σ=14.2. You obtain a sample mean ofM=84.5M=84.5 for a sample of size n=63n=63.

What is the critical value for this test? (Report answer accurateto three decimal places.)
critical value = ±±

What is the test statistic for this sample? (Report answer accurateto three decimal places.)
test statistic =

The test statistic is...

  • in the critical region
  • not in the critical region



This test statistic leads to a decision to...

  • reject the null
  • accept the null
  • fail to reject the null



As such, the final conclusion is that...

  • There is sufficient evidence to warrant rejection of the claimthat the population mean is not equal to 86.1.
  • There is not sufficient evidence to warrant rejection of theclaim that the population mean is not equal to 86.1.
  • The sample data support the claim that the population mean isnot equal to 86.1.
  • There is not sufficient sample evidence to support the claimthat the population mean is not equal to 86.1.

Answer & Explanation Solved by verified expert
3.7 Ratings (578 Votes)
Here we have to test thatn 63Here population standard deviation is known and population isnormally distributed so we will use    See Answer
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