1.1.A college professor randomly selects 25 freshmen to study the mathematical background of the incoming freshman class. The average SAT score of these 25 students is 565 and the standard deviation is estimated to be 40. Using this information, can the professor reject the null hypothesis that the average test score is 550 or less? Use a 5 % level of significance. 1.2.Suppose the college professor in question 1.1. wants to know whether the mathematical aptitude of freshmen has improved over the past year. He randomly draws 25 SAT mathematics scores from last year’s freshman class and obtains a sample mean of 560 and a sample standard deviation of 35. Compare the results from last year with the results from this year. Do the data offer enough evidence for rejecting the null hypothesis that there is no improvement?
1.1.A college professor randomly selects 25 freshmen to study the mathematical background of the incoming freshman class. The average SAT score of these 25 students is 565 and the standard deviation is estimated to be 40. Using this information, can the professor reject the null hypothesis that the average test score is 550 or less?
Use a 5 % level of significance.
1.2.Suppose the college professor in question 1.1. wants to know whether the mathematical aptitude of freshmen has improved over the past year. He randomly draws 25 SAT mathematics scores from last year’s freshman class and obtains a sample mean of 560 and a sample standard deviation of 35. Compare the results from last year with the results from this year. Do the data offer enough evidence for rejecting the null hypothesis that there is no improvement?
Use a 5 % level of significance.
1.3.Blood glucose levels for obese patients have a mean of 100 with a standard deviation of 15. A researcher thinks that a diet high in raw cornstarch will have a positive or negative effect on blood glucose levels. A Sample of 30 patients who have tried the raw cornstarch diet has a mean glucose level of 140.
Test the hypothesis that the raw cornstarch had an effect.
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