Are college students spending more or less time studying for class than in the past? This was a question of interest for researchers. Twenty years ago, college students spent an average of 2.8 hours a day studying for class. A random sample of fifty present day college students was obtained and the average time they spend studying for class was found to be 2.4 hours with standard deviation 1.4. At the 2% significance level can the researchers conclude that the average amount of time college students spend studying for class is different than the average amount of time in the past spent studying? Assume the time spent studying is a normally distributed random variable. a. Find the rejection region b. Find the p-value c. State the Decision and the Conclusion in terms of the problem d. If Ho is rejected, find and interpret the appropriate confidence interval.
Are college students spending more or less time studying for class than in the past? This was a question of interest for researchers. Twenty years ago, college students spent an average of 2.8 hours a day studying for class. A random sample of fifty present day college students was obtained and the average time they spend studying for class was found to be 2.4 hours with standard deviation 1.4. At the 2% significance level can the researchers conclude that the average amount of time college students spend studying for class is different than the average amount of time in the past spent studying? Assume the time spent studying is a
a. Find the rejection region
b. Find the p-value
c. State the Decision and the Conclusion in terms of the problem
d. If Ho is rejected, find and interpret the appropriate confidence interval.
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