This is very important so I need the CORRECT answers please! 1) Based on histori

Question

This is very important so I need the CORRECT answers please!

1) Based on historical data, an Oregon university enrolls 17% graduates and 83% undergraduates. Of graduates, 21% are expected to be non-residents and 79% are residents. Of undergraduates, 24% are non-residents and 76% are residents. During the 2008-2009 academic year, assume that the University of Oregon will enroll 23,500 total students. Of these, how many non-residents can they expect to enroll?

5054

5520

5288

7533

6072

2) In a game of dice at a Nevada state fair, a player pays $10 to roll a pair of fair dice. If the two dice rolled sums to 2, the house pays $40. If the two dice rolled sums to 3, the house pays $30. If the two dice rolled sums to 4, the house pays $20. If the two dice rolled sums to 5, the house pays $10. If the two dice rolled sums to a number greater than 5, the house pays nothing. On average, what can the house expect to receive for each roll of the dice? (Round to the nearest penny.)

House wins an average of $4.44 for each roll.

House loses an average of $2.22 for each roll.

House wins an average of $5.56 cents for each roll.

House wins an average of $3.89 for each roll.

House wins an average of 28 cents for each roll.

3) The Galileo Orbiter gathered data about Jupiter and it's moons. In particular, magnetometer data from Jupiter's moon Ganymede was provided to investigators at two universities. They used the same set of data to each test the null hypothesis that no internal magnetic field existed against the alternative hypothesis that the internal magnetic field was different from zero.

After analyzing the data, investigator A concluded that Ganymede had an internal magnetic field that was different than zero, while investigator B concluded that there was no internal magnetic field.

Which of the following is NOT a valid reason why they obtained opposite results.

Investigator A used a z-statistic, whereas investigator B used a t-statistic.

Because of the volume of data available, both investigators selected a random sample of data on which to base their study. Investigator A drew a sample that was substantially smaller than the sample drawn by Investigator B.

Investigator B chose a significance level that was smaller than that selected by Investigator A.

Investigator A performed a one-tailed test to test the alternative hypothesis that the internal magnetic field was different from zero, whereas Investigator B performed a two-tailed test to test the alternative hypothesis that the magnetic field was different from zero.

Rather than be satisfied that there was a magnetic field if it was shown significantly greater than zero, Investigator B wanted a more rigorous test. He decided to conclude a magnetic field existed only if he could demonstrate that the magnetic field was significantly different than some positive number.

4) A semiconductor company wants to test a new process that they think will affect the speed of their chips. They test the null hypothesis that the mean chip speed of the current process is the same as the mean chip speed of an experimental process, against the alternative hypothesis that means chip speeds for the two processes are different.

A Type-II error, sometimes called the beta-error, can be applied in this situation to do which of the following:

Structure the test to reduce the chances of incorrectly rejecting the null hypothesis.

Make sure that the estimated mean difference between the two groups is as small as possible.

Reduce the chances of not rejecting the null hypothesis, if in fact the mean chip speeds are different.

Decrease the chances of rejecting the null hypothesis, if indeed the mean chip speeds are different.

Increase the chances of rejecting the null hypothesis, if indeed the mean chip speeds are the same.

5054

5520

5288

7533

6072

Explanation / Answer

1) total enrollment = 23500

17% among them are graduates

therefore total graduates = 0.17*23500 = 3995

rest are the undergraduates = 23500 - 3995 = 19505

we need to find the total non residents

total graduates who are non residents = 21% of total graduates + 24% of undergraduates = 0.21*3995 + 0.24*19505 = 839 +4681 = 5520

therefore option b is correct

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