Asked by yeslian colon h
Given the table of 100 sample proportions, how many samples fall within one standard deviation of the mean? The standard deviation is σ=0.11 and the mean is x¯¯¯=0.40 .
(1 point)
Responses
66
66
74
74
59
59
95
(1 point)
Responses
66
66
74
74
59
59
95
Answers
GPT-4o mini
To determine how many sample proportions fall within one standard deviation of the mean, we can calculate the range of values that fall within that interval.
Given:
- Mean (x̄) = 0.40
- Standard deviation (σ) = 0.11
The range within one standard deviation of the mean can be calculated as follows:
1. Lower Bound: x̄ - σ = 0.40 - 0.11 = 0.29
2. Upper Bound: x̄ + σ = 0.40 + 0.11 = 0.51
Now, we want to find out how many of the 100 sample proportions fall within the range of 0.29 to 0.51.
Since the specific data of the sample proportions is not provided here, we can't determine the exact number of samples that fall within this range.
Therefore, you would need to analyze the provided table of sample proportions to count how many of them lie between 0.29 and 0.51, and based on the options given, choose the closest figure to the count you find.
If you're looking to choose an answer without specific sample data, you might need to consider statistical norms; however, without data, it's not possible to definitively select one of the responses (66, 74, 59, 95). If you have the actual counts in the proportions, you could easily evaluate which of these choices reflects the count accurately.
Given:
- Mean (x̄) = 0.40
- Standard deviation (σ) = 0.11
The range within one standard deviation of the mean can be calculated as follows:
1. Lower Bound: x̄ - σ = 0.40 - 0.11 = 0.29
2. Upper Bound: x̄ + σ = 0.40 + 0.11 = 0.51
Now, we want to find out how many of the 100 sample proportions fall within the range of 0.29 to 0.51.
Since the specific data of the sample proportions is not provided here, we can't determine the exact number of samples that fall within this range.
Therefore, you would need to analyze the provided table of sample proportions to count how many of them lie between 0.29 and 0.51, and based on the options given, choose the closest figure to the count you find.
If you're looking to choose an answer without specific sample data, you might need to consider statistical norms; however, without data, it's not possible to definitively select one of the responses (66, 74, 59, 95). If you have the actual counts in the proportions, you could easily evaluate which of these choices reflects the count accurately.