Researchers wanted to know whether it is better to give the diphtheria, tetanus and pertussis (dtap) vaccine in the thigh or the arm. they collect data on severe reactions to this vaccine in children aged 3 to 6 years old. what would be the best statistical test for them to utilize?

The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers

Sarah took the advertising department from her company on a round trip to meet with a potential client. including sarah a total of 11 people took the trip. she was able to purchase coach tickets for $280 and first class tickets for $1280. she used her total budget for airfare for the trip, which was $6080. how many first class tickets did she buy? how many coach tickets did she buy?

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)