math

Please show all work and place your final answers on the lines. No work means no credit.(20) 1. It is claimed that 75% of all athletes graduate from a certain college. A random sample of 700 athletes showed 497 graduated from the college. Using a significance level of 1%, can you conclude that the claim is valid?Null Hypothesis: ____________________ Your Work:Alternative Hypothesis: ____________________Critical Value: ____________________Test Statistic: ____________________Your Decision: ____________________(20) 2.A school boasts of its tutoring program offered to students. Two samples of 71 students each are taken. The first sample consists of students who have not taken part in the tutoring program while the second sample consists of students who have taken part in the tutoring program. An aptitude test was given to both samples. The first sample showed a mean score of 150 with a standard deviation of 20 while the second sample showed a mean score of 158 with a standard deviation of 23. Using a significance level of 1%, can you conclude that the two samples are different? Null Hypothesis: ____________________ Your Work:Alternative Hypothesis: ____________________Critical Value: ____________________Test Statistic: ____________________Your Decision: ____________________(20) 3. A trainer claims that he will increase your bench press strength by 25 pounds. A random sample of 51 people that have worked with the trainer showed a mean bench press strength increase of 23 pounds with a standard deviation of 5 pounds. Using a significance level of 5%, can you conclude that the trainer’s claim is valid? Null Hypothesis: ____________________ Your Work:Alternative Hypothesis: ____________________Critical Value: ____________________Test Statistic: ____________________Your Decision: ____________________
(20) 4. A sample of 300 IVC students showed 126 drink Blue Cow during class while a sample of 400 Saddleback students showed 152 drink Blue Cow during class. Using a significance level of 5%, can you conclude that the proportions of IVC and Saddleback students that drink Blue Cow during class are the same? Null Hypothesis: ____________________Alternative Hypothesis: ____________________Critical Value: ____________________Test Statistic: ____________________Your Decision: ____________________Your Work:

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