Hypothesis Testing on Means and Proportions1 . The hourly wages in a particular forest industry are normally distributed with a mean of $13.20 and a standard deviation of $2.50. If a company in this industry employing 40 summer students pays these students on the average $12.20, can this company be accused of paying inferior wages to the students? Use α = 0.05.2 . The drained weights in ounces for a sample of fifteen cans of fruit are given below. At the 1% level of significance, test the hypothesis that on the average a twelve-ounce drained weight standard is being maintained, against the alternative that it is not twelve ounces.12.1 12.1 12.3 12.0 12.112.4 12.2 12.4 12.1 11.911.9 11.8 11.9 12.3 11.8 3. A study was conducted to determine whether the engineers have a greater annual income ten years after graduation than do foresters. Random samples were taken from each group with the following results (measured in $1,000s):Annual Income, in $1000sEngineers Forestersn1 = 38 n2 = 34x̄1 = 38.65 x̄2 = 35.94S1 = 6.4 S2 = 5.5Test your hypothesis at the 0.05 probability level.4. A regeneration survey has indicated that 85 of the 110 plots examined were stocked. If the requirement is 80% stocking for satisfactory regeneration, would you call this area as "satisfactory"? Use α = 0.01.5. Another survey from another area indicated 84% stocking from 100 plots. Is this area different from the area described in Question (4)? Use α = 0.05.6. If the germination capacity of a seed lot is at least 70%, it is acceptable for a nursery. A test of a given seed lot showed that 8 out of 18 seeds germinated. Would you accept this seed lot? Use α = 0.05 (or as close as possible). 7. Discuss the differences and/or similarities in general between interval estimation and test of hypothesis.