Set up null and alternative hypotheses for the following : (a) Members of a Psyc

Question

Set up null and alternative hypotheses for the following :

(a) Members of a Psychology department believe that students who major in Psychology at their university have higher SAT scores than the general population of students at the university as a whole, which has an average of 1090.

(b) A local brewer observes that in a random sample of 100 women, 35 prefer light ale, 20 prefer pilsner, and 45 prefer a heavier malt brew. Test the hypothesis that women’s preference is equal for the three types of beer.

(c) The graduating averages of high school students in a large city are normally distributed with a mean of 79 and a standard deviation of 14. A random sample of 25 students from one of the schools has a mean of 85. Are the students from this school at par with the city average?

Explanation / Answer

a)
Claim is mean SAT score is greater than 1090

Ho : mu <=1090
Ha : mu >1090

b)

H0 : p1 = p2 = p3
H1 : at least two proportions are different

c)

H0 : mu = 79
Ha : mu not equals to 79

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