# module 10 exam 10

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Problem Set 10.1

1. Find the value of X2 for 14 degrees of freedom and an area of .01 in the right tail of the chi-square distribution.

2. Find the value of X2 for 11 degrees of freedom and an area of .025 in the right tail of the chi-square distribution.

3. Find the value of X2 for 8 degrees of freedom and an area of .05 in the left tail of the chi-square distribution.

4. Find the value of X2 values that separate the middle 80 % from the rest of the distribution for 20 degrees of freedom.

Problem Set 10.2

1. Find the critical value of F for DOF=(5,11) and area in the right tail of .01.

2. Find the critical value of F for DOF=(3,10) and area in the right tail of .10.

3. Find the critical value of F for DOF=(10,20) and area in the right tail of .05.

4. Find the critical value of F for DOF=(7,13) and area in the right tail of .05.

# Problem Set 10.3

Problem Set 10.3

1. You grandfather has been collecting pennies for many years. He has tens of thousands of pennies in his basement. Your grandfather estimates that 20 % of the pennies have dates of 1900 and before, 25 % are dated between 1901 and 1940 (inclusive), 40 % are dated between 1941 and 1970 (inclusive), 15 % are dated after 1970. You test your grandfather’s claim and randomly check 220 pennies. You find that 46 of the pennies have dates of 1900 and before, 53 are dated between 1901 and 1940 (inclusive), 79 are dated between 1941 and 1970 (inclusive), 42 are dated after 1970. Test your grandfather’s claim based on 5 % significance level.

2. A national restaurant chain is conducting a game in which they give away free food items. Whenever you go into one of the restaurants you get a game piece that may contain a free food item. The restaurant chain claims that 18 % of the game pieces contain winners for french fries, 12 % contain winners for hamburgers, 8 % contain winners for milkshakes, 15 % contain winners for other soft drinks, 47 % contain no winners at all. You would like to know if the company’s claim is true. Therefore, you collect 310 game pieces and find that 35 contain winners for french fries, 20 contain winners for hamburgers, 31 contain winners for milkshakes, 40 contain winners for other soft drinks, 184 contain no winners at all. Test the company’s claim to a 1% level of significance.

# Problem Set 10.4

Problem Set 10.4

1. Two new ointments, Type A and Type B for relieving poison ivy were tested on randomly selected patients. One group of 73 patients were given Type A ointment and another group of 49 patients were given Type B ointment. The results of the effectiveness of the two ointments are given as follows:

For a significance level of 1%, determine if the two ointments are similarly effective on poison ivy.

# Problem Set 10.5

Problem Set 10.5

1. A college president would like to know if freshmen, sophomores, juniors, and seniors spend the same amount of time in the library. So, he randomly selects 29 students to see how many hours they spend in the library per month. The results are as follows:

Test the null hypothesis, that the mean time that students from all four classes spend the same amount of time in the library. Use a 1 % significance level.

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