BUS 223-The Video Game Satisfaction Rating Case
The Video Game Satisfaction Rating Case A customer is considered to be very satisfied with his or her XYZ Box video game system if the customer’s composite score on the survey instrument is at least 42. One way to show that customers are typically very satisfied is to show that the mean of the population of all satisfaction ratings is at least 42. Letting this mean be ?, in this case investigate whether the sample of 65 satisfaction ratings provides evidence to support the claim that ? exceeds 42.Assume that ? equals 42, and use the sample to contradict this assumption in favor of the conclusion that ? exceeds 42. Review file for the standard deviation and mean values.a. Consider the sampling distribution of for random samples of 65 customer satisfaction ratings. Use the properties of this sampling distribution to find the probability of observing a sample mean greater than or equal to 42.95 when we assume that ? equals 42.b. If ? equals 42, what percentages of all possible sample means are greater than or equal to 42.95? Analyze observed a sample mean relative to following; (1) ? equals 42 and we have observed a sample mean that is greater than or equal to 42.95 when ? equals 42.(2) That we have observed a sample mean that is greater than or equal to 42.95 because ? is greater than 42?Explain. What do you conclude about whether customers are typically very satisfied with the XYZ Box video game system?Show all work.Ratings 3945384242413842464440394042454442464047444345454046414339434645454643474341404344413843364444 454446484441454444444639414442474345