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4- In the article \"Sex Differences in Furniture Assembly Performance: An Experimental Study\" in the journal Applied Cognitive Psychology, a team of Norwegian researchers investigated a burning pop culture question \"Are women or men better at assembling IKEA furniture?\" More specifically, they asked women and men to assemble an IKEA kitchen cart without the instruction manual and recorded the time it took them to assemble the cart and a score for the quality of the assembly. (a) in the study, separate independent samples of 20 women and 20 men assembled the cart using only a picture of the completed cart and not the instruction manual. The table below summarizes the data on assembly time in minutes not using the instructions. Sample Mean 28.44 23.65 Sample Standard Deviation Construct 95% confidence intervals for mean assembly time for each gender. 5- The proportion of adults audited by the IRS is known to be 1% for all adults with a gross income of $100,000 to $200,000. In a random sample of 900 adults with income in this range, 11 of them were audited by the IRS. Are the conditions met to say that the sampling distribution of the sample proportion has a normal shape? If so, calculate the 90% confidence interval. 6 An NCAA report states that 56.7% of football injuries occur during practice. A head trainer claims that this percentage is too high for his conference, so he randomly selects 36 injuries that occurred in the conference and finds that 17 occurred during practices. (a) At the a = 0.10 significance level, is there significant evidence that the percentage of football injuries in his conference occurring during practice is less than 56.7%? (b) Suppose we were able to look at all of the football injuries in the conference and determined that the true percentage of these injuries that occur during practice is 52%. Based on this information, was your decision the correct decision, a Type I error, or a Type I! error? (c) Describe in words what the P value you computed measures. (The word probability should appear in your description.)