Question

A study is done by a community group in two neighboring colleges to determine which one graduates students with more math classes. College A samples 11 graduates. Their average is four math classes with a standard deviation of 1.5 math classes. College B samples nine graduates. Their average is 3.5 math classes with a standard deviation of one math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Both populations have a normal distribution. Test at a 1% significance level. Answer the following questions. 1. Is this a test of two means or two proportions? 2. Are the population standard deviations known or unknown? 3. Which distribution do you use to perform the test? 4. What is the random variable? 5. What are the null and alternative hypotheses? Write the null and alternative hypotheses in words and in symbols. 6. Is this test right, left, or two tailed? 7. What is the p-value? 8. Do you reject or not reject the null hypothesis? 9. At the _ level of significance, from the sample data, there (is/is not) sufficient evidence to conclude that __........................................................................ .........................................................................................................................................................................................

          A study is done by a community group in two neighboring colleges to determine which one graduates students with more math classes. College A samples 11 graduates. Their average is four math classes with a standard deviation of 1.5 math classes. College B samples nine graduates. Their average is 3.5 math classes with a standard deviation of one math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Both populations have a normal distribution. Test at a 1% significance level. Answer the following questions.

1. Is this a test of two means or two proportions?
2. Are the population standard deviations known or unknown?
3. Which distribution do you use to perform the test?
4. What is the random variable?
5. What are the null and alternative hypotheses? Write the null and alternative hypotheses in words and in symbols.
6. Is this test right, left, or two tailed?
7. What is the p-value?
8. Do you reject or not reject the null hypothesis?
9. At the ___ level of significance, from the sample data, there ______ (is/is not) sufficient evidence to conclude that ______........................................................................
.........................................................................................................................................................................................

A study is done by a community group in two neighboring colleges to determine which one graduates students with more math classes. College A samples 11 graduates. Their average is four math classes with a standard deviation of 1.5 math classes. College B samples nine graduates. Their average is 3.5 math classes with a standard deviation of one math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Both populations have a normal distribution. Test at a 1% significance level. Answer the following questions.

1. Is this a test of two means or two proportions?
2. Are the population standard deviations known or unknown?
3. Which distribution do you use to perform the test?
4. What is the random variable?
5. What are the null and alternative hypotheses? Write the null and alternative hypotheses in words and in symbols.
6. Is this test right, left, or two tailed?
7. What is the p-value?
8. Do you reject or not reject the null hypothesis?
9. At the level of significance, from the sample data, there (is/is not) sufficient evidence to conclude that ........................................................................
.........................................................................................................................................................................................

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