# Prediction Interval

Question

An exercise science major wants to try to use body   weight to predict how much someone can bench press. He collects the data   shown below on 30 male students. Both quantities are measured in pounds.   Body Weight Bench Press     128 129     131 127     156 127     171 133     121 130     131 142     181 145     151 131     164 134     140 124     155 149      135 124     179 144     156 142     140 146     138 133     161 143     151 145     123 111     132 124     161 147     169 157     204 166     166 141     171 143     131 112     122 121     189 146     177 147     205 144

1)Compute   a 95% confidence interval for the average bench press of 150 pound males.   What is the lower limit? Give your answer to two decimal places.

2)Compute   a 95% confidence interval for the average bench press of 150 pound males.   What is the upper limit? Give your answer to two decimal places.

3)Compute   a 95% prediction interval for the bench press of a 150 pound male. What is   the lower limit? Give your answer to two decimal places.

4)Compute   a 95% prediction interval for the bench press of a 150 pound male. What is   the upper limit? Give your answer to two decimal places.

Question

Watch the Ted Talk “Our Century’s Greatest Injustice” by Sheryl Wu Dunn.

• What do you think about her claim that the central moral challenge of this century is gender inequity or the oppression of women and girls worldwide?
• What are the solutions to women’s global inequality that she discusses and why is education so important?
• Address her question: “What is in it for you?”

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