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The value of the required mean of the sampling distribution of sample means is approx. 21 ounces when this process is in control.
Sample mean: The arithmetic mean of the values of the variables in the sample. If the samples are drawn from probability distributions with a common expected value, the sample mean is an estimate of that expected value.
Sample means for all days using formula,
Monday = (23+22+23+24)/4 = 23
Tuesday = (23+21+19+21)/4 = 21
Wednesday = (20+19+20+21)/4 = 20
Thursday = (18+19+20+19)/4 = 19
Friday = (18+20+22+20)/4 = 20
We have to calculate the mean of sampling distribution of sample means.
Mean of the sampling distribution of sample means = Sum of sample means of all days / Number of days
= (23+21+20+19+20)/5
= 20.6 = 21 ounces
Hence, the required mean is approx. 21 ounces.
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