Question

please show all the steps when answering the questions!

1) State the null and alternative hypotheses for each conjuncture. Indicate whether each is a left tailed right tailed or a two tailed test. a) Last year, the mean monthly rent for an apartment in a certain city was $800. A real estate agent believes that the mean rent is higher this year. b) A mathematics educator believes that the mean number of pages in statistics textbooks is different than the mean number of pages in algebra textbooks. c) A researcher wishes to see if police officers whose spouses work in law enforcement have a lower score on a work stress questionnaire than the average score of 120. d) A teacher feels that if an online textbook is used for a course instead of a hardback book, it may change the students' scores on a final exam. In the past, the average final exam score for the students was 83. e) A researcher studies gambling in young people. She thinks those who gamble spend more than $30 per day.

Answer 1

a)

Ho :   Mean montthly rent for apartment is 800
Ha : Mean montthly rent for apartment is greater than 800

Ho :   µ =   800   
Ha :   µ >   800 (Right tail test)

b)

Ho :   Mean number of pages in stats is equal to mean number of pages in algebra
Ha : Mean number of pages in stats is different than mean number of pages in algebra   

(Two tail test)  

c)

Ho :   Mean number of score in stress question is 120   
Ha : Mean number of score in stress question is less than120   

Ho :   µ = 120
Ha :   µ < 120 (Left tail test)  

d)

Ho :   Mean number of score is 83
Ha : Mean number of score is different than 83

Ho :   µ =   83   
Ha :   µ ╪   83 (Two tail test)  

e)

Ho :   Mean number of spending is 30
Ha : Mean number of spending is greater than 30

  Ho :   µ = 30   
Ha :   µ > 30 (Right tail test)

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