Kyoto Games decided to work with Selim Hasagasioglu Consulting on the launch of its new hybrid gaming console.
The consultancy firm needs to determine whether the customers Kyoto Games is targeting have a different average price preference from that of the overall market.
The consulting firm randomly samples 45 people from the Kyoto Games’ target market. It is known that the mean hardware price for the overall console market is $500 and the standard deviation is $125.
1.Estimate the distribution of the sample means, explaining your rationale.
2.Do you need to know the distribution of the pricing with respect to overall hardware market and with respect to the sample means?
3.What is the expected value and the standard deviation of the sample mean, which is the standard error? Assume that population is so large that you can ignore the finite population correction factor.
4.Assume that the average price for your sample is $465. What is the probability of getting this value or lower if the target market and overall market have the same price preferences?
5.Assume that the average price for your sample is $540. What is the probability of getting this value or higher if the target market and overall market have the same average price preference?
6.Assume that your sample size is actually 120 people and the average price for the sample remains to be $540. What is the probability of getting this value or higher if the target market and overall market have the same average price preference?
7.Your sample size is 250 people and the average price for the sample stays at $540. What is the probability of getting this value or higher if the target market and overall market have the same average price preference?
