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UC Davis Statistics Worksheet

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UC Davis Statistics Worksheet

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Questions in the attached pic. word doc or excel spreadsheet or clear handwritting. I want these answers for submisison and also for my understanding, so Plz provide steps.

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2006 ($1000s) 2009 ($1000s)
213100
155400
226200
189800
239100
200800
214300
280400
161700
213200
181200
181100
228600
117400
222100
130000
228900
170000
235800
149600
219400
146200
238800
54400
301800
213800
264200
186000
320200
182100
315000
180000
118900
215700
172400
164200
137500
95300
212800
239500
175400
207200
311400
188200
296900
169400
292500
185600
287700
177000
246500
178000
195600
161200
155300
249200
152400
146400
211200
99800
246700
173500
138100
112200
137500
147900
179000
116200
197500
164200
47. Winter visitors are extremely important to the economy of Southwest Florida.
Hotel occupancy is an often-reported measure of visitor volume and visitor
activity (Naples Daily News, March 22, 2012). Hotel occupancy data for
February in two consecutive years are as follows.
Current Year
Previous Year
1470
1458
Occupied
Rooms
Total
1750
1800
Rooms
a. Formulate the hypothesis test that can be used to determine if there has
been an increase in the proportion of rooms occupied over the one-year
period.
b. What is the estimated proportion of hotel rooms occupied each year?
c. Using a .05 level of significance, what is your hypothesis test
conclusion? What is the p-value?
d. What is the 95% confidence interval estimate of the change in
occupancy for the one-year period? Do you think area officials would be
pleased with the results?
43. Country Financial, a financial services company, uses surveys of adults age
18 and older to determine if personal financial fitness is changing over time
(USA Today, April 4, 2012). In February 2012, a sample of 1000 adults
showed 410 indicating that their financial security was more than fair. In
February 2010, a sample of 900 adults showed 315 indicating that their
financial security was more than fair.
a. State the hypotheses that can be used to test for a significant difference
between the population proportions for the two years.
b. What is the sample proportion indicating that their financial security was
more than fair in 2012? In 2010?
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C. Conduct the hypothesis test and compute the p-value. At a .05 level of
significance, what is your conclusion?
d. What is the 95% confidence interval estimate of the difference between
the two population proportions?
45. Medical tests were conducted to learn about drug-resistant tuberculosis. Of
142 cases tested in New Jersey, 9 were found to be drug-resistant. Of 268
cases tested in Texas, 5 were found to be drug-resistant. Do these data
suggest a statistically significant difference between the proportions of drug-
resistant cases in the two states? Use a .02 level of significance. What is the
p-value, and what is your conclusion?
39. DATA file Home values tend to increase over time under normal
Home Prices
conditions, but the recession of 2008 and 2009 has reportedly caused the
sales price of existing homes to fall nationwide (Businessweek, March 9,
2009). You would like to see if the data support this conclusion. The file
Home Prices contains data on 30 existing home sales in 2006 and 40 existing
home sales in 2009.
a. Provide a point estimate of the difference between the population mean
prices for the two years.
b. Develop a 99% confidence interval estimate of the difference between
the resale prices of houses in 2006 and 2009.
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C. Would you feel justified in concluding that resale prices of existing
homes have declined from 2006 to 2009? Why or why not?
41. The National Association of Home Builders provided data on the cost of the
most popular home remodeling projects. Sample data on cost in thousands of
dollars for two types of remodeling projects are as follows.
Master
Kitchen
Bedroom
25.2
18.0
17.4
22.9
22.8
26.4
21.9
24.8
19.7
26.9
23.0
17.8
19.7
24.6
16.9
21.0
21.8
23.6
a. Develop a point estimate of the difference between the population mean
remodeling costs for the two types of projects.
b. Develop a 90% confidence interval for the difference between the two
population means.

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