1. Statewide, social workers average 10.2 years of experience. In a random sample, 203 social workers in Tulsa average only 8.7 years, with a standard deviation of 0.52 years. Are social workers in Tulsa significantly less experienced?

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Having issues with number 1 can someone help me? It’s One sample T scores
Critical Z-scores (Two-tailed test):
Confidence level
Alpha
Z Score
90%
0.10
+1.65
95%
0.05
+1.96
99%
0.01
+2.58
Critical Z-scores (One-tailed test) for 95% confidence level:
Confidence level
Alpha
Z Score
95%
0.05
±1.65
n=203
X = 8.7
S = 0.52
One Sample t-test homework problems
1. Statewide, social workers average 10.2 years of experience. In a random sample, 203 social
workers in Tulsa average only 8.7 years, with a standard deviation of 0.52 years. Are social
workers in Tulsa significantly less experienced?
2. The same social workers (n=203) report an average annual salary of 24,509, with a standard
deviation of 622. Is this figure significantly lower than the statewide average of 25,782?
3. Statewide, the average score on the verbal portion of the college entrance exam is 453, with a
standard deviation of 95. A random sample of 137 seniors at Claremore high school shows a
mean score of 502. Is there a significant difference?
4. The city manager has received complaints that local firefighters are underpaid. He gathers a
random sample of 120 firefighters and finds that their average salary is 38,073, with a standard
deviation of 575. If she knows the national average salary is 38,202, how should she respond to
the complaint?
5. Statewide, the population as a whole watches 6.2 hours of TV per day. A random sample of
1017 senior citizens in the state reports watching an average of 5.9 hours per day, with a
standard deviation of 0.7. Is the difference significant?
Transcribed Image Text:Critical Z-scores (Two-tailed test): Confidence level Alpha Z Score 90% 0.10 +1.65 95% 0.05 +1.96 99% 0.01 +2.58 Critical Z-scores (One-tailed test) for 95% confidence level: Confidence level Alpha Z Score 95% 0.05 ±1.65 n=203 X = 8.7 S = 0.52 One Sample t-test homework problems 1. Statewide, social workers average 10.2 years of experience. In a random sample, 203 social workers in Tulsa average only 8.7 years, with a standard deviation of 0.52 years. Are social workers in Tulsa significantly less experienced? 2. The same social workers (n=203) report an average annual salary of 24,509, with a standard deviation of 622. Is this figure significantly lower than the statewide average of 25,782? 3. Statewide, the average score on the verbal portion of the college entrance exam is 453, with a standard deviation of 95. A random sample of 137 seniors at Claremore high school shows a mean score of 502. Is there a significant difference? 4. The city manager has received complaints that local firefighters are underpaid. He gathers a random sample of 120 firefighters and finds that their average salary is 38,073, with a standard deviation of 575. If she knows the national average salary is 38,202, how should she respond to the complaint? 5. Statewide, the population as a whole watches 6.2 hours of TV per day. A random sample of 1017 senior citizens in the state reports watching an average of 5.9 hours per day, with a standard deviation of 0.7. Is the difference significant?
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