During June, July, August, and September, an ice-cream shop sold a mean of 75 ga

Question

During June, July, August, and September, an ice-cream shop sold a mean of 75 gallons of ice cream per day. The store manager chooses 6 days from June and calculates the sample mean number of gallons per day for the month of June. He then repeats this process for July, August, and September to calculate a total of 4 sample means, one for each month. Which of the following options is most likely to be true? O The mean of each of the 4 samples was 75 O The distribution of sample means varied more than the population distribution O The sample means were equal, but not 75 O The mean of the sample means is close to the population mean of 75

Explanation / Answer

Solution - Correct option is -

The mean of the sample means is close to the population mean of 75 .

Mean is 75 given it means sum of 4 sample means is 300.

It is not neccesary all sample means are equal to 75.

Only sum of 4 sample means should be 300.

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