A Survey Of Nonprofit Organizations Showed That Online Fundraising Has

In statistics, a Z-Score, also known as a standard score, is a measure of how many standard deviations a data point is above or below the mean. A Z-Score can be used to calculate a confidence interval, with a Z-Score of 1.96 representing a 95% confidence level. Tables for Z-Scores and t-Scores can be accessed from external resources for further analysis. This concept is further explained in a video on statistics.

To construct a 95% confidence interval for the population one-time gift donation, we can use the formula:

[ \text{Confidence Interval} = \bar{x} \pm Z \left( \frac{s}{\sqrt{n}} \right) ]


  • ( \bar{x} ) = sample mean = $29
  • ( s ) = standard deviation = $7
  • ( n ) = sample size = 50
  • ( Z ) = Z-score for a 95% confidence interval, which is approximately 1.96

Substituting the values, we get:

[ \text{Confidence Interval} = 29 \pm 1.96 \left( \frac{7}{\sqrt{50}} \right) ]

Now, let's calculate this.

Confidence IntervalsHow To Find The Z Score Given The Confidence Level of a Normal Distribution  2

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