05 Aug 1. A Gas Station Dealers’ Association estimates th
1. A Gas Station Dealers’ Association estimates that the mean number of gallons of petrol sold per day at a gas station is 20,000. The shape of this distribution is unknown. A sample of 70 dealers on Tuesday, 5th March, 2019 revealed the mean number of gallons sold was 19,480. The standard deviation of the sample of 70 dealers was 4,250 gallons.i) What assumptions do you need to make?ii) What is the likelihood of finding a sample with the given statistics from the proposed population?iii) Using your results in (ii) above advice GOIL whether the assertion that the population mean is 20,000 is reasonable.2. The mean age of a sample of heads of households in a region is 54 years, and the corresponding age for all heads of households in the country is 50 years. If the sample size is 160 and the population standard deviation is 16 years, can we conclude that the two averages are different?
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