Stat 230 Week 6
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):
12 years ago
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