null hypothesis definition (could have multiple answers), repeating mean If alph

Question

null hypothesis definition (could have multiple answers), repeating mean

If alpha is set at 01, and you reject the null hypothesis, what is true? Dr. No has access to a population of scores in a database. Dr. No randomly picks 100 scores from the database and calculates the mean of those 100 scores. The sample mean is stored into memory. The scores are put back into the database, and another 100 scores are removed at random and the mean calculated and stored into memory. If that process is repeated 100,000 times, the mean of the 100,000 sample means ought to be about equal to the __________.

Explanation / Answer

Solution:-

Question 1 -
If our statistical analysis shows that the significance level is below the cut-off value we have set (e.g., either 0.05 or 0.01), we reject the null hypothesis and accept the alternative hypothesis. Alternatively, if the significance level is above the cut-off value, we fail to reject the null hypothesis and cannot accept the alternative hypothesis. You should note that you cannot accept the null hypothesis, but only find evidence against it.
Therefore, if alpha is set at 0.01, and you reject the null hypothesis, then we say "There is a 1% chance of commiting type I error.

Quesion 2 -
The mean of the 100,000 sample means ought to be equal to the Population mean, because as the sampling is being repeated here from the sample population with repeatition, this brings the sample mean nearly equal to the population mean as now the sample is true reflection of the population.

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