12. An agricultural research company has developed two new typesof soy bean seeds, call them "seed A" and "seed B". A study isconducted to determine which will produce a higher mean yield. Totest the two types of seed, 20 similar plots of land were randomlyplaced into one of two groups. One group of ten plots was plantedwith "seed A", while the other ten plots were planted with "seedB". The yield of each field, in bushels per acre, was recorded inthe table below.
| Seed A | 101 | 109 | 88 | 108 | 112 | 105 | 119 | 99 | 95 | 112 |
| Seed B | 91 | 102 | 103 | 105 | 87 | 97 | 84 | 88 | 100 | 94 |
1. Conduct a hypothesis test at a 0.050.05 level of significance todetermine if the two types of soy beans produce different meanyields.
The test statistic is ________________________
The p-value is____________________________
Construct a 9595% confidence interval for the mean of thedifferences. Hint: with the data in your lists, use thetwo-independent sample t-INTERVAL option on your calculator.
__________________to________________________
13. A company owns 9 trucks of various makes and models. Themanager recently heard that inflating tires with nitrogen mayprovide slightly better gas mileage. The manager wants to determineif there is a noticeable increase in the mean gas mileage for the 9trucks when nitrogen is utilized. Over a period of time, a test isrun in which the gas mileage of each truck is recorded both withand without nitrogen in the tires. The gas mileages of the 15trucks with and without nitrogen in the tires are recorded here.(data is in miles per gallon)
| Truck | A | B | C | D | E | F | G | H | I |
| Without Nitrogen | 25 | 20 | 20 | 16 | 25 | 21 | 23 | 24 | 17 |
| With Nitrogen | 28 | 22 | 21 | 19 | 26 | 23 | 23 | 26 | 17 |
(b) The test statistic is_____________________
(c) The p-value is________________________
14. A professor of nursing wonders if the female nursingstudents are more likely to drop out of a nursing program than themale nursing students. To check her intuition, several nursingprograms are compiled and random samples of both male and femalenursing students are selected. Of the 200 male nursing studentsselected, 17 of them did not attain their nursing degree. Of the700 female nursing students selected, 68 of them did not attaintheir nursing degree. Test the claim that the proportion of femalesnot completing their degree is higher than the proportion of malesusing a level of significance of 0.05.
The test statistic is _________________
The p-value is ____________________
