BUS6780 Designing a User Interface for An Information System Assignment

Please help me with these 3 questions

The answers do not necessarily have to be lengthy, but they should be complete.

No APA format.

I attached the word doc as well

Evaluate completely the following statement: “The issue is not whether there is variation, but whether the variation is significant”.
You desire to do a study of ax murderers in American prisons.A preliminary study reveals that the mean IQ of a random sample of 156 ax murderers is 80, with a standard deviation of 24.Perform a 95% confidence interval on the mean IQ of ax murderers, and provide the interval.What exactly does this confidence interval tell me?(Be scientific, not sociological.)
You are designing a user interface for an information system and you have created two prototypes of the interface. You have two ways to evaluate the interface: a) User Preference, or b) Productivity. You’ve done a survey of the end users with these two prototypes and discovered that the users don’t prefer one over the other. As a result, the decision about which prototype to use will depend on productivity. The time it takes users to perform a task is a good measure of productivity. You invited 30 users, and each user performed the same task using both prototypes. You collected data on the time it took for each participant to finish the task using each prototype.Perform an ANOVA, and report the results in a concise memo to your team leader. Write down your interpretation of the results and the conclusion you’ve reached in the memo.

Be specific with data types and your answer should include an understanding of statistical confidence and the null hypothesis.

UserPrototype I (minutes to complete)Prototype II (minutes to complete)

17490

27576

37982

48079

57486

67281

77980

88077

97578

107885

116880

129088

138087

148191

158485

167686

177074

187379

196880

207888

217981

228090

238182

247084

256291

266873

277079

287578

297787

307390