The building specifications in a certain city require that thesewer pipe used in residential areas have a mean breaking strengthof more than 2500 pounds per lineal foot. A manufacturer who wouldlike to supply the city with sewer pipe has submitted a bid andprovided the following information: An independent contractorrandomly selected seven sections of the manufacturer’s pipe andtested each for breaking strength. The results (pounds per linealfoot) are as follows: 2610, 2750, 2420, 2510, 2540, 2490, and2680.
1. What type of test should be conducted?
Dependent t test
Independent t test
One sample t test
2. State the null hypothesis in equation format.
3. State the alternative hypothesis in equation format.
4. What is the calculated t-value (to 3 significant digits)?
5. What is the critical t-value (to 3 significant digits)? Usealpha = 0.05.
6. Is the null hypothesis accepted or rejected? Use alpha =0.05.
7. Is there sufficient evidence to conclude that there is adifference between the mean rate of increase of total phosphorus ofthe control algal and the water hyacinth? Use alpha = 0.05. Explainin one sentence.
