Stat 230          Homework Assignment Week #6-Solutions            Name:  

You must answer each and every part in the order given and in the space provided.

Don’t leave anything blank.

Each numbered proble29m is worth 3 points for a total of 6 points for the assignment.

1. California and New York lead the list of average teachers’ salaries. Random samples of 45 teachers from each state yielded the following:

 

California

New York

Sample mean

64,510

62,900

Population Standard Deviation

8,200

7,800

 

At α = 0.10 test the claim that there is a difference in means of the salaries.

a. State the Hypotheses:

b. Compute the Test statistic: (Round off correctly)

c. Find the p-value:

d. Make the decision using the Decision Rule: (Compare the p-value withα)

e. Write the Conclusion (in plain English as related to the claim):

 

2. There is concern about the percent of on-time flights. A recent survey of two major airlines yielded the following results. At α = 0.05 test the claim that there is a difference in proportions of on-time flights.

 

Blue Airline

Red Airline

No. of flights

300

250

No. of on-time flights

213

200

 

a. State the Hypotheses:

b. Compute the Test statistic: (Round off correctly)

c. Find the p-value:

d. Make the decision using the Decision Rule: (Compare the p-value withα)

e. Write the Conclusion (in plain English as related to the claim):

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