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Test at the 5% level whether the value 340 could be from a normal population with a mean of 320 and variance of 80, or whether the mean is greater than 320.

I was trying out this question but got stuck trying to standardize the normal distribution as there is no sample mean value. Would really appreciate it if someone could show me how it is done. The p-value is apparently 0.0127

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  • $\begingroup$ You have one sample $X=340$. So your sample mean is also $340.$ $\endgroup$ – Arnab Auddy May 3 at 15:29

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