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Magazine Chapter 10: Q. 79 (page 601)
A student at a four-year college claims that mean enrollment at four鈥搚ear colleges is higher than at two鈥搚ear colleges in the United States. Two surveys are conducted. Of the \(35\) two鈥搚ear colleges surveyed, the mean enrollment was \(5,068\) with a standard deviation of \(4,777\). Of the \(35\) four-year colleges surveyed, the mean enrollment was \(5,466\) with a standard deviation of \(8,191\).
Short Answer
- The null hypothesis is given by, \(H_{0}:\mu_{1}\geq \mu_{2}\)
- Alternate hypothesis is given by, \(H_{a}:\mu_{1}< \mu_{2}\)
- \(\bar{X_{1}}-\bar{X-{2}} The difference between the mean number of English courses taken by males and females.
- Student鈥檚 t (\(2-\)sample t-test, variances not pooled).
6. The value from the output is \(0.4021\).
7. Using the information from previous exercise to sketch a picture of this situation.
Clearly label and scale the horizontal axis, and shade the graph the region(s) corresponding to the.
Step by step solution
Step 1. Given information
Mean deviation \(=4777\)
Mean enrollment \(=5068\)
Step 2. Calculation
- The null hypothesis is given by, \(H_{0}:\mu_{1}\geq \mu_{2}\)
- Alternate hypothesis is given by, \(H_{a}:\mu_{1}< \mu_{2}\)
- \(\bar{X_{1}}-\bar{X-{2}} The difference between the mean number of English courses taken by males and females.
- Student鈥檚 t (\(2-\)sample t-test, variances not pooled).
6. The value from the output is \(0.4021\).
7. Using the information from previous exercise to sketch a picture of this situation.
Clearly label and scale the horizontal axis, and shade the graph the region(s) corresponding to the.
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