1. A survey of 25 randomly selected customers measured their ages in years. The
ID: 3252857 • Letter: 1
Question
1. A survey of 25 randomly selected customers measured their ages in years. The mean was 43.36 years and the standar deviation was 6.5 years. How would the standard deviation error change if the sample size had been 100 instead of 25? (Assuming the sample standard deviation didn't change)A. The standard error would increase B. The standard error would decrease C. The standard error would remain the same if the sample standard deviation didn't change D. The effect on the standard error can't be determined from the information given
2. A Survey of 25 randomly selected customers found their ages in years. The mean was 24.56 years and the standard deviation was 5.79 years. If you want a level of significance of 5% how many degrees of freedom will the t-statistic have?
A. It can't be determined from the information given B. 2.06 C. 5.0 D. 24.0 E. 25.0 1. A survey of 25 randomly selected customers measured their ages in years. The mean was 43.36 years and the standar deviation was 6.5 years. How would the standard deviation error change if the sample size had been 100 instead of 25? (Assuming the sample standard deviation didn't change)
A. The standard error would increase B. The standard error would decrease C. The standard error would remain the same if the sample standard deviation didn't change D. The effect on the standard error can't be determined from the information given
2. A Survey of 25 randomly selected customers found their ages in years. The mean was 24.56 years and the standard deviation was 5.79 years. If you want a level of significance of 5% how many degrees of freedom will the t-statistic have?
A. It can't be determined from the information given B. 2.06 C. 5.0 D. 24.0 E. 25.0
A. The standard error would increase B. The standard error would decrease C. The standard error would remain the same if the sample standard deviation didn't change D. The effect on the standard error can't be determined from the information given
2. A Survey of 25 randomly selected customers found their ages in years. The mean was 24.56 years and the standard deviation was 5.79 years. If you want a level of significance of 5% how many degrees of freedom will the t-statistic have?
A. It can't be determined from the information given B. 2.06 C. 5.0 D. 24.0 E. 25.0 A. The standard error would increase B. The standard error would decrease C. The standard error would remain the same if the sample standard deviation didn't change D. The effect on the standard error can't be determined from the information given
2. A Survey of 25 randomly selected customers found their ages in years. The mean was 24.56 years and the standard deviation was 5.79 years. If you want a level of significance of 5% how many degrees of freedom will the t-statistic have?
A. It can't be determined from the information given B. 2.06 C. 5.0 D. 24.0 E. 25.0
Explanation / Answer
1. If the sample size is 25, then standard error = 6.5 / sqrt(25) = 6.5 / 5 = 1.3.
If the sample size is 100, then standard error = 6.5 / sqrt(100) = 6.5 / 10 = 0.65.
Hence the standard error would decrease. So Option(B) is the correct choice.(Ans).
2. The number of selected customers, n=25.
Hence the degrees of freedom of the t-statistic = n -1 = 25 - 1 = 24.
So Option(D) is the correct choice. (Ans).
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