A certain type of stainless steel powder is supposed to have a mean particle diameter of μ = 15 μm. A random sample of 87 particles had a mean diameter of 15.2 μm, with a standard deviation of 1.8 μm. A test is made of H0:μ=15versus H1:μ≠ 15. For the observed mean, calculate the test statistics Find the P -value. 
 Draw the normal curve and colour the region required for the p value, clearly marking the test statistics Do you believe it is plausible that the mean diameter is 15 μm, or are you convinced tha

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A certain type of stainless steel powder is supposed to have a mean particle diameter of μ = 15 μm. A random sample of 87 particles had a mean diameter of 15.2 μm, with a standard deviation of 1.8 μm. A test is made of H0:μ=15versus H1:μ≠ 15.

    1. For the observed mean, calculate the test statistics
    2. Find the P -value. 

    3. Draw the normal curve and colour the region required for the p value, clearly marking the test statistics
    4. Do you believe it is plausible that the mean diameter is 15 μm, or are you convinced that it differs from 15 μm? Explain your reasoning. 


 

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