To evaluate the effect of a treatment, a sample of n = 9 is obtained from a population with a mean of μ = 40, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 33. If the sample has a standard deviation of s = 9, do we reject or accept the null hypothesis using a two-tailed test with alpha = .05?

Yes we reject the null hypothesis

Step-by-step explanation:

From the question we are told that

  The sample size is  

   The  population mean is  

    The  sample  mean is  

    The  standard deviation is

    The  level of significance is  

For a two-tailed test

The  null hypothesis is  

The alternative hypothesis is  

Generally the test statistics is mathematically represented as

=>    

=>    

The  p-value for the two-tailed test  is mathematically represented as

From the z-table  

Given that Then we reject the null hypothesis

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step-by-step explanation:

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