What is the mean age of GSS respondents? (no need to include the frequency table
ID: 3054924 • Letter: W
Question
What is the mean age of GSS respondents? (no need to include the frequency table for this variable)
-The mean age of GSS respondents is 49.16 with a standard deviation of 17.69.
Using a point estimate, what is the mean age of all Americans?
-The mean age of all Americans is between 49.16
3. Using a confidence interval of 90%, what is the mean age of all Americans?
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
- R's Age - Age of Respondent
2857
99.7%
10
0.3%
2867
100.0%
Descriptives
Statistic
Std. Error
- R's Age - Age of Respondent
Mean
49.16
.331
90% Confidence Interval for Mean
Lower Bound
48.61
Upper Bound
49.70
5% Trimmed Mean
48.81
Median
49.00
Variance
313.035
Std. Deviation
17.693
Minimum
18
Maximum
89
Range
71
Interquartile Range
28
Skewness
.175
.046
Kurtosis
-.900
.092
4.Using a confidence interval of 95%, what is the mean age of all Americans?
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
- R's Age - Age of Respondent
2857
99.7%
10
0.3%
2867
100.0%
Descriptives
Statistic
Std. Error
- R's Age - Age of Respondent
Mean
49.16
.331
95% Confidence Interval for Mean
Lower Bound
48.51
Upper Bound
49.80
5% Trimmed Mean
48.81
Median
49.00
Variance
313.035
Std. Deviation
17.693
Minimum
18
Maximum
89
Range
71
Interquartile Range
28
Skewness
.175
.046
Kurtosis
-.900
.092
Using a confidence interval of 1% (you’re willing to be wrong 99% of the time), what is the mean age of all Americans? How does this compare to your point estimate?
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
- R's Age - Age of Respondent
2857
99.7%
10
0.3%
2867
100.0%
Descriptives
Statistic
Std. Error
- R's Age - Age of Respondent
Mean
49.16
.331
1% Confidence Interval for Mean
Lower Bound
49.15
Upper Bound
49.16
5% Trimmed Mean
48.81
Median
49.00
Variance
313.035
Std. Deviation
17.693
Minimum
18
Maximum
89
Range
71
Interquartile Range
28
Skewness
.175
.046
Kurtosis
-.900
.092
Use a confidence interval of 95% to determine the percentage of Americans who support same-sex marriage. (this is the trick question)
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
issues - HOMOSEXUALS SHOULD HAVE RIGHT TO MARRY
1862
64.9%
1005
35.1%
2867
100.0%
Descriptives
Statistic
Std. Error
issues - HOMOSEXUALS SHOULD HAVE RIGHT TO MARRY
Mean
2.52
.034
95% Confidence Interval for Mean
Lower Bound
2.45
Upper Bound
2.58
5% Trimmed Mean
2.46
Median
2.00
Variance
2.180
Std. Deviation
1.476
Minimum
1
Maximum
5
Range
4
Interquartile Range
3
Skewness
.537
.057
Kurtosis
-1.152
.113
Choose one more variable of your choice and construct the appropriate confidence interval.
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
- RESPONDENTS SEX
2867
100.0%
0
0.0%
2867
100.0%
Descriptives
Statistic
Std. Error
- RESPONDENTS SEX
Mean
1.55
.009
95% Confidence Interval for Mean
Lower Bound
1.54
Upper Bound
1.57
5% Trimmed Mean
1.56
Median
2.00
Variance
.247
Std. Deviation
.497
Minimum
1
Maximum
2
Range
1
Interquartile Range
1
Skewness
-.221
.046
Kurtosis
-1.952
.091
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
- R's Age - Age of Respondent
2857
99.7%
10
0.3%
2867
100.0%
Explanation / Answer
dear student, please post one question at a time
3)Using a confidence interval of 90%, what is the mean age of all Americans?
mean age of all the Americans is within the interval (48.61,49.70)
4).Using a confidence interval of 95%, what is the mean age of all Americans?
mean age of all the Americans is within the interval (48.51,49.80)
5)Using a confidence interval of 1% (you’re willing to be wrong 99% of the time), what is the mean age of all Americans? How does this compare to your point estimate?
mean age of all the Americans is within the interval (49.15,49.16)
The point estimate is 49.16. which is also the upper bound of the 1% confidence interval.
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