Acrylic bone cement is sometimes used in hip and knee replacements to fix an artificial joint in place. The force required to break an acrylic bone cement bond was measured for six specimens under specified conditions, and the resulting mean and standard deviation were 307.89 Newtons and 41.57 Newtons, respectively. Assuming that it is reasonable to assume that breaking force under these conditions has a distribution that is approximately normal and using 95% confidence level, estimate the true average breaking force f for acrylic bone cement under the specified conditions. (Use Table 3 in Appendix A. Round your answer to the nearest whole number.) sfs You may need to use the appropriate table in Appendix A to answer this question.The following data on sale price, size, and landetOebuilding ratio for 10 large industrial properties appeared in a paper. Sale Price Size Landetw (millions (thousands Building Property of dollars) of sq. ft.) Ratio 1 10.7 2166 2.0 2 2.6 750 3.4- 3 30.4 2422 3.6 4 1.8 223 4.6 5 20.1 3916 1.6 6 3.1 2865 2.3 ? 10.1 1697 3.0 8 6.6 1046 4.8 9 5.9 1 109 ?.7 10 4.5 404 17.3 (a) Calculate the value of the correlation coefcient between sale price and size. (Give the answer to three decimal places.) r = (b) Calculate the value of the correlation coefcient between sale price and landetoebuilding ratio. (Give the answer to three decimal places.) r: (c) If you wanted to predict sale price and you could use either size or landetOebuilding ratio as the basis for making predictions, which would you use? 0 Size 0 Landtobuilding ratio (d) Based on your choice in Part (c), nd the equation of the leastesquares regression line you would use for predicting y = sale price. (Give answers to three decimal places.) {It : + x The authors of the paper "Age and Violent Content Labels Make Video Games Forbidden Fruits for Youth" carried out an experiment to determine if restrictive labels on video games actually increased the attractiveness of the game for young game players. Participants read a description of a new video game and were asked how much they wanted to play the game. The description also included an age rating. Some participants read the description with an age restrictive label of 7+, indicating that the game was not appropriate for children under the age of 7. Others read the same description, but with an age restrictive label of 12+, 16+, or 18+. The data below for 12- to 13-year-old boys are fictitious, but are consistent with summary statistics given in the paper. (The sample sizes in the actual experiment were larger.) For purposes of this exercise, you can assume that the boys were assigned at random to one of the four age label treatments (7+, 12+, 16+, and 18+). Data shown are the boys' ratings of how much they wanted to play the game on a scale of 1 to 10. 7+ label 12+ label 16+ label 18+ label 7 8 10 7 7 9 6 8 6 5 5 6 10 5 7 7 8 9 6 6 5 8 8 1 8 9 2 6 10 8 Do the data provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four restrictive rating labels? Test the appropriate hypotheses using a significance level of 0.05. Calculate the test statistic. (Round your answer to two decimal places.) F = What can be said about the P-value for this test? O P-value > 0.100 . 0.050
